{"id":17,"date":"2013-02-26T20:32:40","date_gmt":"2013-02-26T20:32:40","guid":{"rendered":"http:\/\/faculty.engineering.ucdavis.edu\/template\/?page_id=17"},"modified":"2024-01-11T20:53:51","modified_gmt":"2024-01-11T20:53:51","slug":"publications","status":"publish","type":"page","link":"https:\/\/faculty.engineering.ucdavis.edu\/mhafez\/publications\/","title":{"rendered":"Publications"},"content":{"rendered":"<h3>Publications:<\/h3>\n<p><strong>1972<\/strong><br \/>\n1. \u00a0\u00a0THREE-DIMENSIONAL STRUCTURE AND EQUIVALENCE RULE OF TRANSONIC FLOWS,\u00a0H. K. Cheng and M. M. Hafez,\u00a0<em>AIAA Journal\u00a0<\/em>, 10:1115-1117.<\/p>\n<p><strong>1973<br \/>\n<\/strong>2. \u00a0\u00a0EQUIVALENCE RULE AND TRANSONIC FLOWS INVOLVING LIFT,\u00a0H. K. Cheng and M. M. Hafez,\u00a0<em>AIAA Paper 73-88\u00a0<\/em>, 11th AIAA Science Meeting, January 10-12, Washington , DC .<\/p>\n<p>3.\u00a0\u00a0 \u00a0EQUIVALENCE AND TRANSONIC FLOW THEORY INVOLVING LIFT,\u00a0H. K. Cheng and M. M. Hafez,\u00a0<em>AIAA Journal\u00a0<\/em>, 11(8):1210-1212.<\/p>\n<p><strong>1975<\/strong><br \/>\n4. \u00a0\u00a0 TRANSONIC EQUIVALENCE RULE: A NONLINEAR THEORY INVOLVING LIFT,\u00a0H. K. Cheng and M. M. Hafez,\u00a0<em>Journal of Fluid Mechanics\u00a0<\/em>, 72:161-187.<\/p>\n<p><strong>\u00a0<\/strong><strong>1976 \u00a0<\/strong><br \/>\n5. \u00a0\u00a0 AN ACCELERATION TECHNIQUE RELATED TO WYNN&#8217;S \u00fe-ALGORITHM WITH APPLICATION TO TRANSONIC FLOW CALCULATIONS,M. M. Hafez and H. K. Cheng,\u00a0<em>Proceedings of the 5th International Conference on Numerical Methods in Fluid Dynamics\u00a0<\/em>.<\/p>\n<p>6. \u00a0\u00a0 MIXED FINITE ELEMENT MODELS AND DUAL ITERATIVE METHODS FOR TRANSONIC FLOW,\u00a0L. C. Wellford and M. M. Hafez,\u00a0<em>Proceedings of Second International Symposium on Finite Element Methods in Flow Problems\u00a0<\/em>, Italy , June.<\/p>\n<p>7.\u00a0\u00a0\u00a0 APPLICATION OF FINITE ELEMENT APPROACH TO TRANSONIC FLOW PROBLEMS,\u00a0M. M. Hafez, E. M. Murman, and L. C. Wellford,\u00a0<em>Proceedings of 13th Annual Meeting Society of Engineering Science\u00a0<\/em>, Hampton, VA, November (NASA CP-2001).<\/p>\n<p><strong>1977<\/strong><\/p>\n<p>8. \u00a0\u00a0 CONVERGENCE ACCELERATION OF RELAXATION SOLUTIONS FOR TRANSONIC FLOW COMPUTATIONS, \u00a0M. M. Hafez and H. K. Cheng,\u00a0<em>AIAA Journal\u00a0<\/em>, 15(3):329-336.<\/p>\n<p>9. \u00a0\u00a0 SHOCK FITTING APPLIED TO RELAXATION SOLUTIONS OF TRANSONIC SMALL-DISTURBANCE EQUATIONS,M. M. Hafez and H. K. Cheng,\u00a0<em>AIAA Journal,\u00a0<\/em>15(6):786-793.<\/p>\n<p>10. \u00a0\u00a0A SHOCK-FITTING ALGORITHM FOR THE FULL POTENTIAL EQUATION,\u00a0M. M. Hafez and E. M. Murman, AIAA 3rd Computational Fluid Dynamics Conference, Albuquerque, NM, June.<\/p>\n<p>11a. \u00a0\u00a0A FINITE ELEMENT FIRST-ORDER EQUATION FORMULATION FOR THE SMALL DISTURBANCE TRANSONIC FLOW PROBLEM,\u00a0L. C. Wellford and M. M. Hafez,\u00a0<em>Computer Methods in Applied Mech. and Engr\u00a0<\/em>., 22:161-186, 1980.<\/p>\n<p>11b. \u00a0<strong>\u00a0Also appeared as\u00a0<\/strong>:<\/p>\n<p>IMPLICIT VELOCITY FORMULATION FOR THE CALCULATION OF TRANSONIC FLOW BY FINITE ELEMENT METHOD,\u00a0L. C. Wellford and M. M. Hafez, Symposium on Application of Computer Methods in Engineering, University of Southern California , Los Angeles , CA , August.<\/p>\n<p><strong>1978<\/strong><br \/>\n12.\u00a0\u00a0\u00a0\u00a0 FINITE ELEMENTS AND FINITE DIFFERENCES FOR TRANSONIC FLOW CALCULATIONS,\u00a0M. M. Hafez, L. C. Wellford, and E. M. Murman,\u00a0<span style=\"text-decoration: underline\">In\u00a0<\/span>: Finite Elements in Fluids, Vol. 3, R. H. Gallagher, J. T. Oden, C. Taylor, and O. C. Zinkiewicz (Eds.), John Wiley &amp; Sons, Inc., London.<\/p>\n<p>13a.\u00a0\u00a0 ARTIFICIAL COMPRESSIBILITY METHODS FOR NUMERICAL SOLUTION OF TRANSONIC FULL POTENTIAL EQUATION,\u00a0M. M. Hafez, J. C. South, and E. M. Murman,\u00a0<em>AIAA Journal\u00a0<\/em>, 17:838-844.<\/p>\n<p><strong>1979<\/strong><br \/>\n13b.\u00a0<strong>\u00a0 Also appeared in:<\/strong><\/p>\n<p><em>AIAA Paper 78-1148\u00a0<\/em>, AIAA 11th Fluid and Plasma Dynamics Conference, Seattle , WA , July.<\/p>\n<p><strong>1980<\/strong><\/p>\n<p><em id=\"__mceDel\"> 14a. \u00a0VECTOR PROCESSOR ALGORITHMS FOR TRANSONIC FLOW CALCULATIONS,\u00a0J. C. South, J. D. Keller, and M. M. Hafez,\u00a0<em>AIAA Journal\u00a0<\/em>, 18:786-792.<\/em><\/p>\n<p>14b. \u00a0<strong>Also appeared in:<\/strong><\/p>\n<p>Proceedings of AIAA Computational Fluid Dynamics Conference, Williamsburg , VA , July, 1979.<\/p>\n<p><strong>1981<\/strong><br \/>\n15. \u00a0\u00a0PERTURBATION OF TRANSONIC FLOW WITH SHOCKS,\u00a0M. Hafez,\u00a0<span style=\"text-decoration: underline\">In\u00a0<\/span>: Numerical and Physical Aspects of Aerodynamic Flows, T. Cebeci (Ed.), Springer-Verlag, January.<\/p>\n<p>16. \u00a0\u00a0TRANSONIC SMALL DISTURBANCE CALCULATIONS INCLUDING ENTROPY CORRECTIONS,\u00a0M. Hafez and D. Lovell,\u00a0<span style=\"text-decoration: underline\">In\u00a0<\/span>: Numerical and Physical Aspects of Aerodynamics Flows II, T. Cebeci (Ed.), Springer-Verlag, January.<\/p>\n<p><strong>1982<\/strong><br \/>\n17. \u00a0\u00a0CONJUGATE GRADIENT METHODS APPLIED TO TRANSONIC FINITE DIFFERENCE AND FINITE ELEMENT CALCULATIONS,\u00a0Y. Wong and M. Hafez,\u00a0<em>AIAA Journal\u00a0<\/em>, 20(11):1526-1534.<\/p>\n<p>18. \u00a0\u00a0FINITE ELEMENT SOLUTIONS OF TRANSONIC FLOW PROBLEMS,\u00a0W. Habashi and M. Hafez,\u00a0<em>AIAA Journal\u00a0<\/em>, 20(10):1368-1377.<\/p>\n<p>19. \u00a0\u00a0PRECONDITIONED CONJUGATE GRADIENTS FOR TRANSONIC FLOW CALCULATIONS,\u00a0Y. Wong and M. Hafez,\u00a0<span style=\"text-decoration: underline\">In\u00a0<\/span>: Preconditioning Methods: Analysis and Applications, Gordon and Breach Science Publishers.<\/p>\n<p>20. \u00a0\u00a0TRANSONIC WIND TUNNEL WALL INTERFERENCE CORRECTIONS FOR THREE-DIMENSIONAL MODELS,\u00a0M. Rizk, M. Hafez, E. Murman, and D. Lovell,\u00a0<em>AIAA Paper 82-0588\u00a0<\/em>.<\/p>\n<p><strong>1983<\/strong><br \/>\n21a. \u00a0FINITE ELEMENT STREAM FUNCTION SOLUTIONS OF TRANSONIC ROTATIONAL INTERNAL AND EXTERNAL FLOWS,\u00a0W. Habashi and M. Hafez,\u00a0<em>Journal of Numerical Methods for Partial Differential Equations\u00a0<\/em>, 1(2), 1985.<\/p>\n<p>21b.\u00a0<strong>Also appeared in:<\/strong><\/p>\n<p><em>AIAA Paper 82-1268\u00a0<\/em>.<\/p>\n<p>22. \u00a0\u00a0NUMERICAL SOLUTION OF TRANSONIC STREAM FUNCTION EQUATION,\u00a0M. Hafez and D. Lovell,\u00a0<em>AIAA Journal\u00a0<\/em>, 21(3):327-336.<\/p>\n<p>23a. \u00a0IMPROVED RELAXATION SCHEMES FOR TRANSONIC POTENTIAL CALCULATIONS,\u00a0M. Hafez and D. Lovell,\u00a0<em>International Journal for Numerical Methods in Fluids\u00a0<\/em>, 8:1-16, 1988.<\/p>\n<p>23b.\u00a0<strong>Also appeared as\u00a0<\/strong>:<\/p>\n<p><em>\u00a0AIAA Paper 83-0372\u00a0<\/em>.<\/p>\n<p>24. \u00a0\u00a0FINITE ELEMENT METHODS FOR INTERNAL FLOW CALCULATIONS,\u00a0W. Habashi and M. Hafez,\u00a0<em>AIAA Paper 83-1404\u00a0<\/em>.<\/p>\n<p>25a. \u00a0COMPUTATION OF THREE-DIMENSIONAL TRANSONIC FLOWS USING TWO STREAM FUNCTIONS,\u00a0A. Sherif and M. Hafez,\u00a0<em>International Journal for Numerical Methods in Fluids\u00a0<\/em>, 8:17-29, 1988.<\/p>\n<p>25b.\u00a0<strong>Also appeared as\u00a0<\/strong>:<\/p>\n<p><em>AIAA Paper 83-1948<\/em><\/p>\n<p>26a. \u00a0STABILITY ANALYSIS OF INTERMEDIATE BOUNDARY CONDITIONS IN APPROXIMATE FACTORIZATION SCHEMES,\u00a0J. South, and M. Hafez,\u00a0<em>Applied Num. Math\u00a0<\/em>., 2:181-192, 1986.<\/p>\n<p>26b.\u00a0<strong>Also appeared as\u00a0<\/strong>:<\/p>\n<p><em>AIAA Paper 83-1898<\/em><\/p>\n<p>27a. \u00a0ENTROPY AND VORTICITY CORRECTIONS FOR TRANSONIC FLOWS,\u00a0M. Hafez and D. Lovell,\u00a0<em>International Journal for Numerical Methods in Fluids\u00a0<\/em>, 8:31-53, 1988.<\/p>\n<p>27b.\u00a0<strong>Also appeared as\u00a0<\/strong>:<\/p>\n<p><em>AIAA Paper 83-1926\u00a0<\/em>.<\/p>\n<p>28. \u00a0\u00a0PROGRESS IN FINITE ELEMENTS FOR TRANSONIC FLOWS,\u00a0M. Hafez,\u00a0<em>AIAA Paper 83-1919\u00a0<\/em>.<\/p>\n<p><strong>\u00a0<\/strong><strong>1984<\/strong><br \/>\n29a. IMPROVED FINITE-DIFFERENCE SCHEMES FOR TRANSONIC POTENTIAL FLOW CALCULATIONS,\u00a0M. Hafez, W. Whitlow, and S. Osher,\u00a0<em>AIAA Journal\u00a0<\/em>, 25(11):1456-1462, 1987.<\/p>\n<p>29b.\u00a0<strong>Also appeared as\u00a0<\/strong>:<\/p>\n<p><em>AIAA Paper 84-0092\u00a0<\/em>, 1984.<\/p>\n<p>30. \u00a0 A RULE FOR SELECTING ANALYTICAL BOUNDARY CONDITIONS FOR THE CONSERVATIVE QUASI-ONE DIMENSIONAL NOZZLE FLOW EQUATIONS,\u00a0S. Wornom and M. Hafez,\u00a0<em>AIAA Paper 84-0431\u00a0<\/em>.<\/p>\n<p>31a. CALCULATION OF QUASI-ONE DIMENSIONAL FLOWS WITH SHOCKS,\u00a0S. Wornom and M. Hafez,\u00a0<em>Computers &amp; Fluids\u00a0<\/em>, 24(5), 1986.<\/p>\n<p>31b.\u00a0<strong>Also appeared as\u00a0<\/strong>:<\/p>\n<p><em>AIAA Paper 84-1245\u00a0<\/em>.<\/p>\n<p>32.\u00a0 CONSERVATIVE CALCULATIONS OF NON-ISENTROPIC TRANSONIC FLOWS,\u00a0M. M. Hafez, W. G. Habashi, and P. L. Kotuga\u00a0<em>, International Journal for Numerical Methods in Fluids\u00a0<\/em>, 5:1047-1057, 1985.<\/p>\n<p>33.\u00a0 CALCULATION OF SEPARATION BUBBLES USING BOUNDARY LAYER-TYPE EQUATIONS, PART I,\u00a0A. Halim and M. Hafez,\u00a0<span style=\"text-decoration: underline\">In\u00a0<\/span>: Recent Advances in Numerical Methods in Fluids, Vol. 3.<\/p>\n<p>34a. CALCULATION OF SEPARATION BUBBLES USING BOUNDARY LAYER-TYPE EQUATIONS, PART II,\u00a0A. Halim and M. Hafez,\u00a0<em>AIAA Journal\u00a0<\/em>, 24(4):385, 1986.<\/p>\n<p>34b.\u00a0<strong>Also appeared as\u00a0<\/strong>:<\/p>\n<p><em>AIAA Paper 84-1585\u00a0<\/em>.<\/p>\n<p>35. \u00a0 FINITE ELEMENT SOLUTIONS OF INVISCID TRANSONIC EXTERNAL AND INTERNAL FLOWS,\u00a0W. Habashi and M. Hafez,\u00a0<span style=\"text-decoration: underline\">In\u00a0<\/span>: Recent Advances in Numerical Methods in Fluids, Vol. 4.<\/p>\n<p>36.\u00a0\u00a0 NUMERICAL ALGORITHMS FOR TRANSONIC INVISCID FLOW CALCULATIONS,\u00a0M. Hafez,\u00a0<span style=\"text-decoration: underline\">In\u00a0<\/span>: Recent Advances in Numerical Methods in Fluids, Vol. 4.<\/p>\n<p><strong>1985<\/strong><br \/>\n37. \u00a0NUMERICAL PROCEDURES FOR VISCOUS\/INVISCID INTERACTION PROBLEMS,\u00a0M. Hafez and E. Parlette, 3rd Symposium on Numerical and Physical Aspects of Aerodynamics Flows, Long Beach, CA, January.<\/p>\n<p>38. \u00a0ANALYSIS OF STRONGLY INTERACTING VISCOUS-INVISCID FLOWS INCLUDING SEPARATION,\u00a0J. Carter, D. Edwards, R. Davis, and M. Hafez,\u00a0<em>Proceedings of Ninth International Conference on Numerical Methods in Fluid Dynamics\u00a0<\/em>, Springer-Verlag, January.<\/p>\n<p>39.\u00a0 COMPUTATION OF CHOKED AND SUPERSONIC TURBOMACHINERY FLOWS BY A MODIFIED POTENTIAL METHOD,\u00a0W. G. Habashi, M. M. Hafez, and P. L. Kotuga,\u00a0<em>AIAA Journal\u00a0<\/em>, 23(2):214-220.<\/p>\n<p>40.\u00a0 CONVERGENCE ACCELERATION OF ITERATIVE SOLUTIONS OF EULER EQUATIONS FOR TRANSONIC FLOW COMPUTATIONS,\u00a0M. Hafez, E. Parlette , and M. Salas,\u00a0<em>Computational Mechanics\u00a0<\/em>, 1:165-176.<\/p>\n<p>41. \u00a0\u00a0RELAXATION ALGORITHMS FOR THE EULER EQUATIONS,\u00a0S. Wornom and M. Hafez,\u00a0<em>AIAA Journal\u00a0<\/em>, 25(4):523-524.<\/p>\n<p>42. \u00a0\u00a0CALCULATION OF INTERNAL VISCOUS FLOWS,\u00a0W. Habashi, M. Hafez, and L. McLean,\u00a0<em>AIAA Paper 85-1124\u00a0<\/em>.<\/p>\n<p>43. \u00a0\u00a0ENTROPY CONDITION SATISFYING APPROXIMATIONS FOR THE FULL POTENTIAL EQUATION OF TRANSONIC FLOW,\u00a0S. Ohsher, M. Hafez, and W. Whitlow, Jr.,\u00a0<em>Math. Computat\u00a0<\/em>., 44(169):1-29.<\/p>\n<p>44. \u00a0\u00a0A MODIFIED LEAST SQUARES FORMULATION FOR A SYSTEM OF FIRST-ORDER EQUATIONS,\u00a0M. M. Hafez and T. N. Phillips,\u00a0<em>Applied Numerical Mathematics\u00a0<\/em>, Vol. 1, pp. 339-347, North-Holland.<\/p>\n<p><strong>1986<\/strong><br \/>\n45. \u00a0\u00a0IMPLICIT CONSERVATIVE SCHEMES FOR THE EULER EQUATIONS,\u00a0S. F. Wornom and M. M. Hafez,\u00a0<em>AIAA Journal\u00a0<\/em>, 24(2):215.<\/p>\n<p>46. \u00a0 A MINIMAL RESIDUAL METHOD FOR TRANSONIC POTENTIAL FLOWS,\u00a0Y. S. Wong and M. M. Hafez, 8th International Conference on Numerical Methods in Fluid Dynamics,\u00a0<em>Lecture Notes in Physics\u00a0<\/em>, Vol. 170, Springer Verlag, 1983.<\/p>\n<p>47. \u00a0 SOME ITERATIVE SCHEMES FOR TRANSONIC POTENTIAL FLOWS,\u00a0Y. S. Wong and M. M. Hafez,\u00a0<em>AIAA Journal\u00a0<\/em>, 21(5):808. (50%)<\/p>\n<p>48. \u00a0NUMERICAL STUDY OF VORTEX BREAKDOWN,\u00a0M. Hafez, G. Kuruvila, and M. D. Salas,\u00a0<em>Applied Num. Math\u00a0<\/em>., 2:291-302. (33%)<\/p>\n<p>49. \u00a0VISCOUS\/INVISCID ANALYSIS OF TRANSONIC SHOCK-INDUCED SEPARATION INCLUDING NORMAL PRESSURE GRADIENTS,\u00a0D. E. Edwards, J. E. Carter, and M. M. Hafez,\u00a0<em>AIAA Journal\u00a0<\/em>, 24(5), May. (33%)<\/p>\n<p>50. \u00a0TIME ACCURATE SOLUTIONS OF THE NAVIER-STOKES EQUATIONS FOR REACTING FLOWS,\u00a0H. A. Dwyer, M. Soliman, and M. Hafez,\u00a0<em>Proceedings of the 10th International Conference on Numerical Methods in Fluid Mechanics\u00a0<\/em>, Beijing , China , June. (20%)<\/p>\n<p><strong>1987<\/strong><br \/>\n51. \u00a0VORTEX BREAKDOWN SIMULATION BASED ON A NONLINEAR INVISCID MODEL,\u00a0M. Hafez and M. Salas,\u00a0<span style=\"text-decoration: underline\">In\u00a0<\/span>: Studies of Vortex Dominated Flows, Springer Verlag, January. (50%)<\/p>\n<p>52.\u00a0\u00a0 FINITE ELEMENT SOLUTIONS OF THE COMPRESSIBLE NAVIER-STOKES EQUATIONS,\u00a0W. G. Habashi, M. F. Peeters, G. Guevremont, and M. Hafez,\u00a0<em>AIAA Journal\u00a0<\/em>, 25(7):944-948. (25%)<\/p>\n<p>53.\u00a0 COMPRESSIBLE INVISCID FLOWS,\u00a0W. G. Habashi and M. Hafez,\u00a0<span style=\"text-decoration: underline\">In\u00a0<\/span>: Finite Element Handbook, H. Kardestuncer and D. H. Norrie (Eds.), pp. 3.218-3.228, McGraw-Hill Book Company. (50%)<\/p>\n<p>54. \u00a0TRANSONIC FLOW WITH SHOCK WAVES: MIXED-TYPE ALGORITHMS,\u00a0M. Hafez and W. G. Habashi,\u00a0<span style=\"text-decoration: underline\">In\u00a0<\/span>: Finite Element Handbook, H. Kardestuncer and D. H. Norrie (Eds.), pp. 3.259-3.268, McGraw-Hill Book Company. (50%)<\/p>\n<p>55. \u00a0\u00a0ANALYSIS AND DESIGN OF SUBSONIC AND SUPERSONIC TURBOMACHINERY,\u00a0W. G. Habashi and M. Hafez,\u00a0<span style=\"text-decoration: underline\">In\u00a0<\/span>: Finite Element Handbook, H. Kardestuncer and D. H. Norrie (Eds.), pp. 3.107-3.117, McGraw-Hill Book Company. (50%)<\/p>\n<p>56. \u00a0\u00a0COMPRESSIBLE VISCOUS INTERNAL FLOW CALCULATIONS BY A FINITE ELEMENT METHOD,\u00a0M. Hafez and W. Habashi,\u00a0<em>AIAA Paper 87-1665\u00a0<\/em>, AIAA Aerospace Meeting, Reno , NV , January. (50%)<\/p>\n<p>57a. \u00a0\u00a0SOME USES OF DIRECT SOLVERS IN COMPUTATIONAL FLUID MECHANICS,\u00a0H. A. Dwyer, K. Matsuno, S. Ibrani, and M. Hafez,\u00a0<em>AIAA Paper 87-0594\u00a0<\/em>, AIAA Aerospace Meeting, Reno, NV, January. (20%)<\/p>\n<p>57b. \u00a0\u00a0<strong>Also appeared in:<\/strong><\/p>\n<p><em>Proceedings of the 18th Annual Conference of the Japanese Society of Aeronautics and Astronautics\u00a0<\/em>(in Japanese). (20%)<\/p>\n<p>58a. \u00a0\u00a0THREE-DIMENSIONAL VISCOUS FLOW SOLUTIONS WITH A VORTICITY-STREAM FUNCTION FORMULATION,\u00a0R. L. Davis, J. E. Carter, and M. Hafez,\u00a0<em>AIAA Journal\u00a0<\/em>, 27(7):892-900, 1989. (33%)<\/p>\n<p>58b. \u00a0\u00a0<strong>Also appeared as\u00a0<\/strong>:<\/p>\n<p><em>AIAA Paper 87-0601\u00a0<\/em>, AIAA 25th Aerospace Sciences Meeting, Reno , NV , January. (33%)<\/p>\n<p>59. \u00a0\u00a0VORTEX BREAKDOWN SIMULATION,\u00a0M. Hafez, J. Ahmad, G. Kuravila, and M. Salas,\u00a0<em>AIAA Paper 87-1343\u00a0<\/em>, AIAA Fluid Dynamics Meeting, Hawaii, June. (30%)<\/p>\n<p>60. \u00a0\u00a0APPLICATIONS OF WYNN&#8217;S\u00a0<img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/mae.ucdavis.edu\/faculty\/hafez\/images\/clip_image002.gif\" alt=\"\" width=\"16\" height=\"17\" \/>-ALGORITHM TO TRANSONIC FLOW CALCULATIONS,\u00a0M. Hafez, S. Palaniswamy, G. Kuravila, and M. Salas,\u00a0<em>AIAA Paper 87-1143\u00a0<\/em>, AIAA Computational Fluid Dynamics Meeting, Hawaii, June. (30%)<\/p>\n<p>61. \u00a0\u00a0CALCULATIONS OF TRANSONIC FLOWS WITH SHOCKS USING NEWTON &#8216;S METHOD AND DIRECT SOLVER: PART I. POTENTIAL FLOW,\u00a0M. Hafez and S. Palaniswamy, 6th IMACS International Symposium on Computer Methods for Partial Differential Equations, Lehigh Univ., Bethlehem, PA, June.<\/p>\n<p>62. \u00a0\u00a0AN ENTROPY CORRECTION METHOD FOR UNSTEADY FULL POTENTIAL FLOWS WITH STRONG SHOCKS,\u00a0W. Whitlow, Jr., M. M. Hafez, and S. J. Osher,\u00a0<em>Journal of Fluids and Structures\u00a0<\/em>, 1:401-414. (33%)<\/p>\n<p><strong>1988<\/strong><br \/>\n63. \u00a0\u00a0CALCULATIONS OF TRANS FLOWS W\/ SHOCKS USING NEWTON &#8216;S METHOD &amp; DIRECT SOLVER: PART II. SOLUTION OF EULER EQUATIONS,\u00a0M. Hafez, S. Palaniswamy, and P. Mariani,\u00a0<em>AIAA Paper 88-0226\u00a0<\/em>, AIAA 26th Aerospace Sciences Meeting, January 11-14, Reno, NV. (33%)<\/p>\n<p>64a. \u00a0\u00a0CALCULATION OF VISCOUS FLOWS WITH SEPARATION USING NEWTON &#8216;S METHOD AND DIRECT SOLVER,\u00a0C. P. van Dam, M. Hafez, and J. Ahmad,\u00a0<em>AIAA Journal\u00a0<\/em>, 28(5):937-939, 1990. (33%)<\/p>\n<p>64b. \u00a0\u00a0<strong>Also appeared as:<\/strong><\/p>\n<p><em>AIAA Paper 88-0412\u00a0<\/em>, AIAA 26th Aerospace Sciences Meeting, January 11-14, Reno , NV . (33%)<\/p>\n<p>65. \u00a0\u00a0 VORTEX BREAKDOWN SIMULATION, PART II,\u00a0M. Hafez and J. Ahmad,\u00a0<em>AIAA Paper 88-0508\u00a0<\/em>, AIAA 26th Aerospace Sciences Meeting, January 11-14, Reno, NV. (50%)<\/p>\n<p>66. \u00a0\u00a0 VECTOR POTENTIAL METHODS,\u00a0M. Hafez, Transonic Symposium: Theory, Application, and Experiment,\u00a0<em>NASA Conference Publication 3020\u00a0<\/em>, Vol. 1, Part 1, April 19-21, Hampton , VA. (100%)<\/p>\n<p>67. \u00a0 \u00a0A VELOCITY-VORTICITY FINITE ELEMENT FORMULATION OF THE COMPRESSIBLE NAVIER-STOKES EQUATIONS,\u00a0G. Guevermont, W. G. Habashi, M. M. Hafez, and M. F. Peeters,\u00a0<span style=\"text-decoration: underline\">In\u00a0<\/span>: Computational Mechanics &#8217;88: Theory and Applications, Proceedings of the International \u00a0Conference on Computational Engineering Science, S. N. Atluri and G. Yagawa (Eds.), April 10-14, Atlanta, GA, Springer-Verlag. (25%)<\/p>\n<p>68. \u00a0\u00a0 NUMERICAL SIMULATION OF ROTATIONAL FLOWS,\u00a0M. Hafez, and J. Ahmad, Symposium Transsonicum III,\u00a0<em>IUTAM Symposium\u00a0<\/em>, pp. 339-354, May 24-27, Gottingen, Germany. (50%)<\/p>\n<p>69. \u00a0\u00a0 A VELOCITY\/VORTICITY METHOD FOR VISCOUS INCOMPRESSIBLE FLOW CALCULATIONS,\u00a0M. Hafez, J. Dacles, and M. Soliman,\u00a0<span style=\"text-decoration: underline\">In\u00a0<\/span>: Lecture Notes in Physics,\u00a0<em>Proceedings of the 11th International Conference on Numerical Methods in Fluid Dynamics\u00a0<\/em>, \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0 D.\u00a0L. Dwyer, M. Y. Hussaini, and R. G. Voigt (Eds.), pp. 288-296, Williamsburg, VA, June. (33%)<\/p>\n<p>70. \u00a0 \u00a0NON-UNIQUE SOLUTIONS OF THE EULER EQUATIONS,\u00a0G. Baruzzi. W. G. Habashi, and M. M. Hafez,\u00a0<span style=\"text-decoration: underline\">In\u00a0<\/span>: Advances in Fluid Dynamics,\u00a0<em>Proceedings of the Symposium in Honor of Maurice Holt on His 70th Birthday\u00a0<\/em>, W. F. Ballhaus, Jr., and M. Y. Hussaini (Eds.), pp. 1-10, Williamsburg, VA, June. (33%)<\/p>\n<p>71. \u00a0\u00a0ANALYSIS OF THE CONVERGENCE HISTORY OF FLOW THROUGH NOZZLES WITH SHOCKS,\u00a0A. Y. Cheer, M. Saleem, T. H. Pulliam, and M. Hafez,\u00a0<em>AIAA Paper 88-3795-CP\u00a0<\/em>, AIAA\/ASME\/SIAM\/APS First National Fluid Dynamics Congress, pp. 620-629, July 25-28, Cincinnati, OH. (25%)<\/p>\n<p>72a. \u00a0\u00a0FINITE ELEMENT SOLUTION OF THE NAVIER-STOKES EQUATIONS BY A VELOCITY-VORTICITY METHOD,\u00a0W. G. Habashi, G. Guevremont, and M. M. Hafez,\u00a0<em>International Journal for Numerical Methods in Fluids\u00a0<\/em>, 10:461-475, 1990. (33%)<\/p>\n<p>72b. \u00a0\u00a0<strong>Also appeared in:<\/strong><\/p>\n<p><em>Proceedings of the International Conference on Computational Method in Flow Analysis\u00a0<\/em>, Volume 1, H. Niki and M. Kawahara (Eds.), September 5-8, Okayama, \u00a0Japan. (33%)<\/p>\n<p>73a. \u00a0\u00a0COMPARISON OF ITERATIVE AND DIRECT SOLUTION METHODS FOR VISCOUS FLOW PROBLEMS,\u00a0C. P. van Dam, and M. Hafez,\u00a0<em>AIAA Journal\u00a0<\/em>, 27(10):1459-1461. (50%)<\/p>\n<p>73b. \u00a0\u00a0\u00a0<strong>Also appeared as:<\/strong><\/p>\n<p><em>Proceedings of International Conference on Comp. Techniques and Applications with Special Emphasis on Computational Fluid Dynamics\u00a0<\/em>, G. Davis and C. Fletcher (Eds.), North Holland. (50%)<\/p>\n<p><strong>\u00a0<\/strong><strong>1989<\/strong><br \/>\n74. \u00a0\u00a0CALCULATIONS OF ROTATIONAL FLOWS USING STREAM FUNCTION,\u00a0M. Hafez, C. Yam, K. Tang, and H. Dwyer,\u00a0<em>AIAA Paper 89-0474\u00a0<\/em>, 27th Aerospace Sciences Meeting, January 9-12, Reno, NV. (30%)<\/p>\n<p>75. \u00a0\u00a0UNSTEADY NAVIER-STOKES CALCULATIONS USING BIHARMONIC FORMULATION AND DIRECT SOLVER,\u00a0C. P. van Dam, M. Hafez, and D. Brucker,\u00a0<em>AIAA Paper 89-0465\u00a0<\/em>, 27th Aerospace Sciences Meeting, January 9-12, Reno , NV . (33%)<\/p>\n<p>76. \u00a0\u00a0 VORTEX BREAKDOWN SIMULATION, PART III: COMPRESSIBILITY EFFECTS,\u00a0M. Hafez, and J. Ahmad, 4th Symposium on Numerical and Physical Aspects of Aerodynamic Flows, January 16-19, Long Beach, CA. (50%)<\/p>\n<p>77. \u00a0\u00a0 A VELOCITY DECOMPOSITION METHOD FOR VISCOUS INCOMPRESSIBLE FLOW CALCULATIONS,\u00a0M. Hafez and M. Soliman,\u00a0<em>Proceedings of the Seventh International Conference on Finite Element Methods in Flow Problems\u00a0<\/em>, T. J. Chung and G. R. Karr, Eds.,\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0 April 3-7, Huntsville, AL. (50%)<\/p>\n<p>78. \u00a0\u00a0\u00a0\u00a0 FINITE ELEMENT VORTICITY BASED METHODS FOR THE SOLUTION OF THE COMPRESSIBLE NAVIER-STOKES EQUATIONS,\u00a0W. G. Habashi, G. Guevremont, M. F. Peeters, S. M. Przybytkowski, and M. M. Hafez,\u00a0<span style=\"text-decoration: underline\">In\u00a0<\/span>: Computational Methods in Viscous Aerodynamics, T. K. S. Murthy and C. A. Brebbia (Eds.), Elsevier Publishers, pp. 198-230. (20%)<\/p>\n<p>79. \u00a0\u00a0A VELOCITY DECOMPOSITION METHOD FOR VISCOUS INCOMPRESSIBLE FLOW CALCULATIONS, PART II,\u00a0M. Hafez and M. Soliman, AIAA 9th Computational Fluid Dynamics Conference, June 13-15, Buffalo , NY . (50%)<\/p>\n<p>80a. \u00a0\u00a0CONVERGENCE ACCELERATION OF VISCOUS AND INVISCID HYPERSONIC FLOW CALCULATIONS,\u00a0S. Cheung, A. Cheer, M. Hafez, and J. Flores,\u00a0<em>AIAA Journal\u00a0<\/em>, 29(8):1214-1222. (33%)<\/p>\n<p>80b. \u00a0\u00a0\u00a0<strong>Also appeared as\u00a0<\/strong>:<\/p>\n<p><em>AIAA Paper 89-1875\u00a0<\/em>, AIAA 20th Fluid Dynamics, Plasma Dynamics and Lasers Conference, June 12-14, Buffalo, NY. (33%)<\/p>\n<p><strong>1990<\/strong><br \/>\n81. \u00a0\u00a0UNSTEADY VISCOUS FLOW CALCULATIONS INCLUDING SURFACE HEATING AND COOLING EFFECTS,\u00a0C. P. van Dam, M. Hafez, D. Brucker, and S. Elli,\u00a0<em>Proceedings of the Eighth GAMM-Conference on Numerical Methods in Fluid Mechanics\u00a0<\/em>, P. Wesseling (Ed.), pp. 79-88, Vieweg. (33%)<\/p>\n<p>82. \u00a0\u00a0NON-UNIQUE SOLUTION OF INVISCID FLOW IN TWO DIMENSIONAL NOZZLES,\u00a0K. Nikfetrat and M. Hafez,\u00a0<em>AIAA Paper 90-0443\u00a0<\/em>, 28th Aerospace Sciences Meeting, January 8-11, 1990, Reno , NV . (50%)<\/p>\n<p>83. \u00a0\u00a0NUMERICAL METHODS FOR 3-D VISCOUS INCOMPRESSIBLE FLOWS USING VELOCITY\/VORTICITY FORMULATION,\u00a0J. Dacles and M. Hafez,\u00a0<em>AIAA Paper 90-0237\u00a0<\/em>, 28th Aerospace Sciences Meeting, January 8-11, Reno , NV . (50%)<\/p>\n<p>84a. \u00a0\u00a0FINITE ELEMENT SOLUTION OF THE 3-D COMPRESSIBLE NAVIER-STOKES EQUATIONS BY A VELOCITY-VORTICITY METHOD,\u00a0G. Guevremont, W. G. Habashi, P. L. Kotiuga and M. M. Hafez,\u00a0<em>Journal of Computational Physics\u00a0<\/em>, 107(1):176-187, 1993. (25%)<\/p>\n<p>84b. \u00a0\u00a0\u00a0<strong>Also appeared as\u00a0<\/strong>:<\/p>\n<p><em>AIAA Paper 90-0404\u00a0<\/em>, 28th Aerospace Sciences Meeting, January 8-11, Reno , NV . (25%)<\/p>\n<p>85a. \u00a0\u00a0FINITE ELEMENT SOLUTIONS OF THE EULER EQUATIONS FOR TRANSONIC EXTERNAL FLOWS,\u00a0G. Baruzzi, W. G. Habashi, and M. M. Hafez,\u00a0<em>AIAA Journal\u00a0<\/em>, 29(11):1886-1893, 1991. (33%)<\/p>\n<p>85b. \u00a0\u00a0\u00a0<strong>Also appeared as\u00a0<\/strong>:<\/p>\n<p><em>AIAA Paper 90-0405\u00a0<\/em>, 28th Aerospace Sciences Meeting, January 8-11, Reno , NV . (33%)<\/p>\n<p>86. \u00a0\u00a0DESIGN OF AIRFOILS IN TRANSONIC FLOWS,\u00a0M. Hafez and J. Ahmad, 12th International Conference on Numerical Methods in Fluid Dynamics, The University of Oxford, England, July 9-13. (50%)<\/p>\n<p><strong>\u00a0<\/strong><strong>1991 \u00a0<\/strong><br \/>\n87. \u00a0\u00a0A NEWTON-GALERKIN DIRECT SCHEME FOR THE SOLUTION OF THE EULER AND NAVIER-STOKES EQUATIONS,\u00a0W. G. Habashi, G. Baruzzi, M. M. Hafez, and M. F. Peeters,\u00a0<em>Proceedings of the Soviet-American Workshop in Computational Aerodynamics\u00a0<\/em>, October 22-28, 1989, Tashkent , Uzbekistan . (25%)<\/p>\n<p>88a. \u00a0\u00a0NUMERICAL SOLUTION OF THE INCOMPRESSIBLE NAVIER-STOKES EQUATIONS IN PRIMITIVE VARIABLES ON UNSTAGGERED GRIDS,\u00a0<span style=\"text-decoration: underline\">Incompressible Computational Fluid Dynamics\u00a0<\/span>, M. Gunzburger and R. Nicolaides (Eds.), Cambridge University Press, 1993. (50%)<\/p>\n<p>88b. \u00a0\u00a0\u00a0<strong>Also appeared as:<\/strong><\/p>\n<p>M. Hafez and M. Soliman,\u00a0<em>AIAA Paper 91-1561\u00a0<\/em>, AIAA 10th Computational Fluid Dynamics Conference, June 24-27, 1991, Honolulu, HI. (50%)<\/p>\n<p>89a. \u00a0\u00a0THE EFFECT OF ARTIFICIAL VORTICITY ON THE DISCRETE SOLUTION OF EULER EQUATIONS,\u00a0M. Hafez and D. Brucker,\u00a0<em>AIAA Paper 91-1553\u00a0<\/em>, AIAA 10th Computational Fluid Dynamics Conference, June 24-27, 1991, Honolulu, HI. (50%)<\/p>\n<p>89b. \u00a0\u00a0\u00a0<strong>Also accepted to appear in\u00a0<\/strong>:<\/p>\n<p><em>Computational Mechanics<\/em><\/p>\n<p>90a. \u00a0\u00a0FINITE ELEMENT SIMULATION OF COMPRESSIBLE FLOWS WITH SHOCKS,\u00a0G. Fernandez and M. Hafez,\u00a0<span style=\"text-decoration: underline\">Computational Nonlinear Mechanics In Aerospace Engineering\u00a0<\/span>,\u00a0<em>Progress in Aeronautics and Astronautics\u00a0<\/em>, Vol. 146, 1992. (50%)<\/p>\n<p>90b. \u00a0\u00a0\u00a0<strong>Also appeared as:<\/strong><\/p>\n<p><em>AIAA Paper 91-1551\u00a0<\/em>, AIAA 10th Computational Fluid Dynamics Conference, June 24-27, 1991, Honolulu , HI . (50%)<\/p>\n<p>91. \u00a0\u00a0NUMERICAL SOLUTION OF THE INCOMPRESSIBLE NAVIER STOKES EQUATIONS IN VELOCITY-VORTICITY VARIABLES ON UNSTAGGERED GRIDS,\u00a0J. Dacles and M. M. Hafez, presented in Institute of Mathematics and Its Application Conference on Numerical Methods for Fluid Dynamics, Reading , England . (50%)<\/p>\n<p>92. \u00a0\u00a0FINITE ELEMENT SOLUTION OF INCOMPRESSIBLE NAVIER-STOKES EQUATIONS USING SIMPLE LINEAR ELEMENTS,\u00a0G. Fernandez and M. Hafez,\u00a0<em>AIAA Paper 91-0121\u00a0<\/em>, 29th Aerospace Sciences Meeting, January 7-10, 1991, Reno , NV . (50%)<\/p>\n<p>93. \u00a0\u00a0FINITE ELEMENT SOLUTION OF COMPRESSIBLE NAVIER STOKES EQUATIONS,\u00a0G. Fernandez and M. M. Hafez,\u00a0<span style=\"text-decoration: underline\">In\u00a0<\/span>: Advances in Fluid Dynamics, published by ASME. (50%)<\/p>\n<p><strong>1991<\/strong><\/p>\n<p><em id=\"__mceDel\">94. \u00a0\u00a0FINITE ELEMENT METHOD IN THE SOLUTION OF THE EULER AND NAVIER STOKES EQUATIONS FOR INTERNAL FLOW,\u00a0W. G. Habashi, G. Baruzzi, M. F. Peeters, and M. M. Hafez,\u00a0<em>Numerical Methods for PDE\u00a0<\/em>, 7:193-207. (25%)<\/em><\/p>\n<p>95. \u00a0\u00a0TRANSONIC VISCOUS-INVISCID INTERACTION BY A FINITE ELEMENT METHOD,\u00a0M. M. Hafez, W. G. Habashi, and S. M. Przybytkowski,\u00a0<em>International Journal for Numerical Methods in Fluids\u00a0<\/em>, 13:309-319. (33%)<\/p>\n<p><strong>1992<\/strong><\/p>\n<p><em id=\"__mceDel\">96. \u00a0\u00a0FINITE ELEMENT SIMULATION OF COMPRESSIBLE VISCOUS FLOWS OVER LIFTING AIRFOILS,\u00a0D. Kinney and M. Hafez,\u00a0<em>AIAA Paper 92-0669\u00a0<\/em>, 30th Aerospace Sciences Meeting, Reno , NV , January. (50%)<\/em><\/p>\n<p>97. \u00a0\u00a0CFD, AN ACADEMIC PERSPECTIVE,<\/p>\n<p>J. Steger and M. M. Hafez,\u00a0<em>Aerospace America\u00a0<\/em>, 30(1):38-42. (40%)<\/p>\n<p>98a. \u00a0\u00a0A UNIFIED APPROACH FOR NUMERICAL SIMULATION OF VISCOUS COMPRESSIBLE AND INCOMPRESSIBLE FLOWS OVER ADIABATIC AND ISOTHERMAL WALLS,\u00a0M. M. Hafez, M. Soliman, and S. White, 5th Symposium on Numerical and Physical Aspects of Aerodynamic Flows, Long Beach , CA , January. (50%)<\/p>\n<p>98b. \u00a0\u00a0\u00a0<strong>Also accepted to appear in:<\/strong><\/p>\n<p><em>International Journal for Numerical Methods in Fluids<\/em><\/p>\n<p>99. \u00a0\u00a0FINITE ELEMENT SIMULATION OF TRANSONIC FLOWS WITH SHOCK WAVES,\u00a0M. M. Hafez and D. Kinney,\u00a0<em>Proceedings of the 13th International Conference on Numerical Methods in Fluid Dynamics\u00a0<\/em>, Rome , Italy , July. (50%)<\/p>\n<p>100a. \u00a0\u00a0NUMERICAL SIMULATION OF UNSTEADY INCOMPRESSIBLE VISCOUS AXISYMMETRIC INTERNAL FLOW WITH SWIRL,\u00a0M. M. Hafez and E. Shabana ,\u00a0<em>Computational Fluid Dynamics Journal\u00a0<\/em>, Vol. 5, No. 3, October 1996.<\/p>\n<p>100b. \u00a0\u00a0\u00a0<strong>Also accepted to appear in\u00a0<\/strong>:<\/p>\n<p><em>Proceedings of the 1st European Computational Fluid Dynamics Conference\u00a0<\/em>, Brussels , Belgium , September. (50%)<\/p>\n<p>101. \u00a0\u00a0A NUMERICAL SCHEME FOR INTEGRATION OF MAXWELL&#8217;S EQUATIONS,\u00a0M. M. Hafez and P. English,\u00a0<em>Proceedings of the 1st European Conference on Numerical Methods in Engineering\u00a0<\/em>, Brussels , Belgium , September. (50%)<\/p>\n<p>102. \u00a0\u00a0AN IMPROVED FINITE ELEMENT METHOD FOR THE SOLUTION OF THE COMPRESSIBLE EULER AND NAVIER STOKES EQUATIONS,\u00a0G. S. Baruzzi, W. G. Habashi, and M. M. Hafez,\u00a0<em>Proceedings of the 1st European Computational Fluid Dynamics Conference\u00a0<\/em>, Brussels, Belgium, September. (33%)<\/p>\n<p>103. \u00a0\u00a0A SECOND ORDER METHOD FOR THE FINITE ELEMENT SOLUTION OF THE EULER AND NAVIER STOKES EQUATIONS,\u00a0G. S. Baruzzi, W. G. Habashi, and M. M. Hafez,\u00a0<em>Proceedings of the 13th International Conference on Numerical Methods in Fluid Dynamics\u00a0<\/em>, Rome Italy, July. (33%)<\/p>\n<p>104. \u00a0\u00a0A TIME DOMAIN METHOD FOR ELECTROMAGNETIC WAVE PROPAGATION AND SCATTERING,\u00a0P. English, and M. Hafez, IEEE Antennas and Propagation Society International Symposium, Chicago , IL , July. (50%)<\/p>\n<p><strong>1993<\/strong><\/p>\n<p>105. \u00a0\u00a0NUMERICAL SIMULATION OF SUPERSONIC FLOW AROUND A THIN BODY IN A DISPERSIVE MEDIUM,\u00a0R. Winterstein, M. M. Hafez, and J. Brewer,\u00a0<em>AIAA Paper 93-0773\u00a0<\/em>, 31st Aerospace Sciences Meeting, Reno , NV , January. (50%)<\/p>\n<p>106. \u00a0\u00a0APPLICATION OF EXPLICIT FINITE ELEMENTS TO MAXWELL&#8217;S EQUATIONS,\u00a0M. M. Hafez and P. English,\u00a0<em>Proceedings of the 9th Annual Review of Progress in Applied Computational Electromagnetics\u00a0<\/em>, Monterey , CA , March. (50%)<\/p>\n<p>107. \u00a0\u00a0TIME DOMAIN CALCULATIONS OF ELECTROMAGNETIC WAVE PROPAGATION AND SCATTERING USING FINITE VOLUMES AND TRIANGULAR MESHES,\u00a0P. English and M. M. Hafez, IEEE Antennas and Propagation Society International Symposium, Ann Arbor , MI , June. (50%)<\/p>\n<p>108a. \u00a0\u00a0EULER SOLUTION FOR BLUNT BODIES USING TRIANGULAR MESHES: ARTIFICIAL VISCOSITY FORMS AND NUMERICAL BOUNDARY CONDITIONS,\u00a0R. Winterstein and M. M. Hafez,\u00a0<em>Proceedings of the 11th AIAA Computational Fluid Dynamics Conference\u00a0<\/em>, Orlando, FL, July. (50%)<\/p>\n<p>108b. \u00a0\u00a0\u00a0<strong>Also accepted to appear in:<\/strong><\/p>\n<p><em>Computational Mechanics\u00a0<\/em>.<\/p>\n<p>109. \u00a0\u00a0VISUALIZATION OF INTERNAL SWIRLING FLOWS,\u00a0R. Potter, V. Watson, and M. M. Hafez,\u00a0<em>Proceedings of the 11th AIAA Computational Fluid Dynamics Conference\u00a0<\/em>, Orlando , FL , July. (20%)<\/p>\n<p>110. \u00a0\u00a0A SEMI-IMPLICIT FINITE VOLUME SCHEME FOR SOLUTION OF EULER EQUATIONS ON 3-D PRISMATIC GRIDS,\u00a0S. A. Pandya and M. M. Hafez,\u00a0<em>AIAA Paper 93-3431\u00a0<\/em>, AIAA Applied Aerodynamics Conference, Monterey , CA , August. (50%)<\/p>\n<p>111. \u00a0\u00a0A SOLUTION ADAPTIVE RELAXATION ALGORITHM FOR STRUCTURED GRIDS,\u00a0D. Banks and M. M. Hafez,\u00a0<em>Proceedings of the 5th International Symposium on CFD\u00a0<\/em>, Sendai , Japan , August. (50%)<\/p>\n<p>112a. \u00a0\u00a0FINITE ELEMENT\/FINITE VOLUME SIMULATIONS OF VISCOUS FLOWS BASED ON ZONAL NAVIER STOKES FORMULATIONS &#8211; PART I. INCOMPRESSIBLE FLOWS,\u00a0C. Tang and M. M. Hafez, presented at the Winter Annual Meeting of the ASME, New Orleans , LA , November 1993. (50%)<\/p>\n<p>112b. \u00a0\u00a0\u00a0<strong>Also accepted to appear in\u00a0<\/strong>:<\/p>\n<p><em>Computers and Fluids\u00a0<\/em>.<\/p>\n<p><strong>1994 \u00a0<\/strong><\/p>\n<p><em id=\"__mceDel\">113. \u00a0\u00a0SIMULATION OF COMPRESSIBLE INVISCID FLOWS OVER STATIONARY AND ROTATING CYLINDERS,\u00a0M. M. Hafez and A. Dimanlig,\u00a0<em>Acta Mechanica\u00a0<\/em>, 4:241-249. (50%)<\/em><\/p>\n<p>114. \u00a0\u00a0FINITE ELEMENT\/FINITE VOLUME SIMULATIONS OF VISCOUS FLOWS BASED ON A ZONAL FORMULATION: PART II,\u00a0C. Y. Tang and Mohamed M. Hafez, presented at the 32nd Aerospace Sciences Meeting &amp; Exhibit of AIAA, Reno , Nevada , January,\u00a0<em>AIAA 94-0815\u00a0<\/em>. (50%)<\/p>\n<p>115. \u00a0\u00a0A ZONAL PROCEDURE FOR PREDICTING THE HOVERING PERFORMANCE OF A HELICOPTER,\u00a0Marvin A. Moulton, M. Hafez, and F. Caradonna,\u00a0<em>Proceedings of Boundary Layer and Shear Flows\u00a0<\/em>, ASME FED-Vol. 184. (30%)<\/p>\n<p>116. \u00a0\u00a0A REVIEW OF JAMESON&#8217;S CONTRIBUTIONS TO COMPUTATIONAL FLUID DYNAMICS,\u00a0David A. Caughey and Mohamed M. Hafez,\u00a0<em>Proceedings of Conference on Computing the Future\u00a0<\/em>(held in honor of Jameson&#8217;s 60th birthday), Ithaca, NY, November. (90%)<\/p>\n<p>1995 \u00a0\u00a0117. \u00a0\u00a0THE CFD PROBLEM OF SONIC BOOM PROPAGATION IN A STRATIFIED ATMOSPHERE,\u00a0H. K. Cheng, C. J. Lee, M. M. Hafez, and W. H. Guo, presented at the 1st Asian Computational Fluid Dynamics Conference, Hong Kong , January. (25%)<\/p>\n<p>118. \u00a0\u00a0APPLICATIONS OF GENERALIZED COORDINATES BOUNDARY-LAYER CODE TO FORTIFIED NAVIER-STOKES EQUATIONS,\u00a0T. H. Olsen and M. M. Hafez, presented at the 13th AIAA Applied Aerodynamic Conference, San Diego , CA , June. (50%)<\/p>\n<p>119a. \u00a0\u00a0VALIDATION OF A NEW UNSTRUCTURED FULL POTENTIAL FORMULATION,\u00a0D. J. Kinney, M. M. Hafez, and P. A. Gelhausen,\u00a0<em>Journal of Aircraft<\/em><\/p>\n<p>119b. \u00a0\u00a0\u00a0<strong>Also appeared in:<\/strong><\/p>\n<p>13th AIAA Applied Aerodynamic Conference, San Diego , CA , June. (40%).<\/p>\n<p>120. \u00a0\u00a0SHOCK FITTING FOR SONIC BOOM CALCULATIONS,\u00a0W. H. Guo and M. M. Hafez,\u00a0<em>Proceedings of Computational Mechanics 1995\u00a0<\/em>, Hawaii , August. (50%)<\/p>\n<p>121. \u00a0\u00a0NUMERICAL SIMULATION OF HEAT TRANSFER IN A DIVERTOR WITH NON-LINEAR INNER WALL BOUNDARY CONDITIONS,\u00a0Y. Lee, M. Hafez, and M. Hoffman,\u00a0<em>Proceedings of the 6th International Symposium on CFD\u00a0<\/em>, Lake Tahoe , Nevada , September. (30%)<\/p>\n<p>122. \u00a0\u00a0FINITE ELEMENT\/FINITE VOLUME SOLUTIONS OF FULL POTENTIAL, EULER AND NAVIER-STOKES EQUATIONS FOR COMPRESSIBLE AND INCOMPRESSIBLE FLOWS,\u00a0M. Hafez,\u00a0<em>International Journal for Numerical Methods in Fluids\u00a0<\/em>, 20:713-741. (100%)<\/p>\n<p>123. \u00a0\u00a0A SECOND ORDER FINITE ELEMENT METHOD FOR THE SOLUTION OF THE TRANSONIC EULER AND NAVIER-STOKES EQUATIONS,\u00a0G. S. Baruzzi, W. G. Habashi, J. G. Guevremont, and M. M. Hafez,\u00a0<em>International Journal for Numerical Methods in Fluids\u00a0<\/em>, 20:671-693. (30%)<\/p>\n<p>124. \u00a0\u00a0FINITE ELEMENT COMPUTATIONS OF TRANSONIC POTENTIAL FLOW,\u00a0D. J. Kinney and M. M. Hafez,\u00a0<em>Proceedings of the 9th International Conference on Finite Elements in Fluids\u00a0<\/em>, Venice , Italy , October. (40%)<\/p>\n<p>125a. \u00a0\u00a0SIMULATION OF STEADY COMPRESSIBLE FLOWS BASED ON CAUCHY\/RIEMANN EQUATIONS AND CROCCO&#8217;S RELATIONS,\u00a0M. M. Hafez and W. H. Guo,\u00a0<em>International Journal of Numerical Methods in Fluids,\u00a0<\/em>Vol. 25, pp. 1-12, January 1998<\/p>\n<p>125b. \u00a0\u00a0\u00a0<strong>Also appeared in:<\/strong><\/p>\n<p><em>Proceedings of the 9th International Conference on Finite Elements in Fluids\u00a0<\/em>, Venice , Italy , October.<\/p>\n<p><em>\u00a0<\/em>126. \u00a0\u00a0THE DEVELOPMENT OF A HYBRID CFD METHOD FOR THE PREDICTION OF HOVER PERFORMANCE,\u00a0Marvin A. Moulton, K. Ramachandran, Mohamed Hafez, and Frances X. Caradonna, presented at the 2nd International Aeromechanics Specialist&#8217;s Conference, American Helicopter Society, Bridgeport , CT , October. (15%)<\/p>\n<p>127. \u00a0\u00a0NUMERICAL SIMULATION OF THE SUPER BOOM PROBLEM,\u00a0W. G. Guo and M. M. Hafez,\u00a0<span style=\"text-decoration: underline\">In\u00a0<\/span>: Symposium on Recent Developments in Engineering Science, New Orleans , LA , November. (50%)<\/p>\n<p>128. \u00a0\u00a0FINITE ELEMENT-FINITE VOLUME SIMULATIONS OF VISCOUS FLOWS BASED ON A ZONAL NAVIER-STOKES EQUATIONS, PART III: LIFTING TRANSONIC AND SUPERSONIC FLOWS,\u00a0M Hafez and C. Tang,\u00a0<em>Solution Techniques forLarge-Scale CFD Problems\u00a0<\/em>, Published by Wiley, 1995.<\/p>\n<p><strong>1996 \u00a0<\/strong><\/p>\n<p><em id=\"__mceDel\">129. \u00a0\u00a0SOME ANOMALIES OF THE NUMERICAL SOLUTIONS OF THE EULER EQUATIONS,\u00a0M. M. Hafez and A. C. B. Dimanlig,\u00a0<em>Acta Mechanica,\u00a0<\/em>Vol. 119, No. 1-4, pp. 131-140.<\/em><\/p>\n<p>130. \u00a0\u00a0NUMERICAL SIMULATION OF UNSTEADY AXISYMMETRIC INTERNAL FLOW WITH HEAT TRANSFER AND SWIRL,\u00a0El Sayed A. Shabana and M. M. Hafez,\u00a0<em>Computational fluid Dynamics Journal\u00a0<\/em>, Vol. 5, No. 3, pp. 373-386.<\/p>\n<p>131. \u00a0\u00a0SONIC BOOM PROPAGATION AND ITS SUBMARINE IMPACT: A STUDY OF THEORETICAL AND COMPUTATIONAL ISSUES,\u00a0H. K. Cheng, C. J. Lee, M. M. Hafez and W. H. Guo, 34 th Aerospace Sciences Meeting and Exhibit, AIAA Paper 96-0755, Reno, NV.<\/p>\n<p>132a. \u00a0\u00a0UNSTRUCTURED FULL POTENTIAL ANALYSIS OF A LOW-WING TRANSPORT WITH NACELLES,\u00a0D. J. Kinney, M. M. Hafez, P. A. Gelhausen, 14rh AIAA Applied Aerodynamics Conference, AIAA Paper 96-2376, New Orleans, LA.<\/p>\n<p>132b. \u00a0\u00a0\u00a0<strong>Also accepted to appear in:<\/strong><\/p>\n<p><em>Journal of Aircraft<\/em><\/p>\n<p>133. \u00a0\u00a0OPTIMUM SHAPE DESIGN USING AUTOMATIC DIFFERENTIATION IN REVERSE MODE,\u00a0M. Hafez, B. Mohammadi and O. Pironneau, Fifteenth International Conference on Numerical Methods in Fluid Dynamics.<\/p>\n<p>134. \u00a0\u00a0FOCUSED SONIC BOOM IN A NON-ISOTHERMAL ATMOSPHERE AS A MIXED HYPERBOLIC-ELLIPTIC, NONLINEAR, 3-D PROBLEMS,\u00a0H. K. Cheng, C. J. Lee, Mohammed M. Hafez and Chun Y. Tang,\u00a0<em>The Second Asian CFD Conference:<\/em>\u00a0Tokyo<\/p>\n<p><strong>1997 \u00a0\u00a0<\/strong><\/p>\n<p>135. \u00a0\u00a0IMPLICIT COUPLING OF AN INTEGRAL TURBULENT BOUNDARY LAYER METHODS WITH A THREE-DIMENSIONAL UNSTRUCTURED FULL POTENTIAL FORMULATION,<\/p>\n<p>D. J. Kinney and M. M. Hafez, Proceedings of the 4 th International Conference on Integral Methods in Science and Engineering, Oulu , Finland , June.<\/p>\n<p>136. \u00a0\u00a0PREDICTION OF WAKE-VORTEX FLOW IN THE NEAR-AND INTERMEDIATE-FIELDS BEHIND WINGS,\u00a0J. Dacles-Mariani, M. Hafez and D. Kwak, 35 th Aerospace Sciences Meeting &amp; Exhibit, AIAA Paper 97-0040, Reno, NV.<\/p>\n<p>137. \u00a0\u00a0ANALYSIS AND NUMERICAL SIMULATION OF THE SUPERBOOM PROBLEM,<\/p>\n<p>H. K. Cheng and M. M. Hafez, Proceedings of Thirty Years of Computational Fluid Dynamics and Transonic Flow, Seattle , WA .<\/p>\n<p>138a. \u00a0\u00a0AN UNSTRUCTURED FULL POTENTIAL-INTEGRAL BOUNDARY LAYER FORMULATION,\u00a0D. J. Kinney, M. M. Hafez and P. A. Gelhausen, A Collection of Technical Papers, 15 th AIAA Applied Aerodynamics Conference, Part 1, AIAA Paper 97-2258.<\/p>\n<p>138b. \u00a0\u00a0\u00a0<strong>Also appeared in:<\/strong><\/p>\n<p><em>Computational Fluid Dynamics Journal\u00a0<\/em>, Vol. 7, No. 2, pp.149-162, July 1998<\/p>\n<p>139a. \u00a0\u00a0OPTIMUM SHAPE DESIGN USING ADJOINT EQUATIONS FOR COMPRESSIBLE FLOWS WITH SHOCK WAVES,\u00a0Toyoki Matsuzawa and Mohamed Hafez, 13 th AIAA Computational Fluid Dynamics Conference, AIAA Paper 97-2078, Snowmass Village, CO.<\/p>\n<p>139b. \u00a0\u00a0\u00a0<strong>Also appeared in:<\/strong><\/p>\n<p><em>Computational Fluid Dynamics Journal\u00a0<\/em>, Vol. 7, No 3, pp.343-364, October 1998\u00a0<em>.<\/em><\/p>\n<p><em>\u00a0<\/em>140. \u00a0\u00a0PRISMATIC GRID GENERATION AND FLOW SIMULATION OVER 3D CONFIGURATIONS,\u00a0Shishir A. Pandya, Dr. John E. Melton and Dr. M. Hafez, Proceedings Advances in Flow Simulation Techniques, UC Davis, May.<\/p>\n<p><strong>1998<\/strong><br \/>\n141a. \u00a0\u00a0SIMULATION OF STEADY COMPRESSIBLE FLOWS BASED ON CAUCHY\/RIEMANN EQUATIONS AND CROCCO&#8217;S RELATIONS PART II: VISCOUS FLOWS,\u00a0M. Hafez and W. Guo, Presented in the 10 th International Conference on Finite Elements in Fluids, Tucson , AZ , January 1998.<\/p>\n<p>141b. \u00a0\u00a0\u00a0<strong>Also appeared in:<\/strong><\/p>\n<p><em>International Journal of Numerical Methods in Fluids\u00a0<\/em>, Vol. B1, No. 1 pp. 325-344, September 1999<\/p>\n<p>142. \u00a0\u00a0APPROXIMATE METHODS FOR CORRECTING POTENTIAL FLOW,\u00a0M. Hafez, W. Guo, 16 th AIAA Aerodynamics Conference, June, 1998, Albuquerque , NM .<\/p>\n<p>143a. \u00a0\u00a0TREATMENT OF SHOCK WAVES IN DESIGN IPTIMIZATION VIA ADJOINTEQUATION APPROACH,\u00a0Toyoki Matsuzawa and Mohamed Hafez,\u00a0<em>Computational Fluid Dynamics Journal\u00a0<\/em>, Vol 7, No. 4, pp. 405-424, January 1999<\/p>\n<p>143b. \u00a0\u00a0\u00a0<strong>Also appeared in:<\/strong><\/p>\n<p>29 th AIAA Fluid Dynamics Conference, June, 1998, Albuquerque , NM<\/p>\n<p>144a. \u00a0\u00a0ACCURATE BOUNDARY CONDITIONS FOR INVISCID FLOW SIMULATION ON PRISMATIC GRIDS,\u00a0S.A. Pandya and Mohamed Hafez,\u00a0<em>Computational Fluid Dynamics Journal\u00a0<\/em>, Vol. 8, No. 2, pp. 178-185, July 1999 (50%)<\/p>\n<p>144b. \u00a0\u00a0\u00a0<strong>Also appeared in:<\/strong><\/p>\n<p>4th World Congress on Computational Mechanics, June, 1998, Buenos Aries, Argentenia<\/p>\n<p><strong>1998<\/strong><br \/>\n145a. \u00a0\u00a0NONUNIQUENESS OF TRANSONIC FLOWS,\u00a0M.M.Hafez and W.H. Guo,\u00a0<em>Acta Mechanica\u00a0<\/em>, Vol. 138, No. 3-4, pp. 177-184, 1999, (50%)<\/p>\n<p>145b. \u00a0\u00a0\u00a0<strong>Also appeared in:<\/strong><\/p>\n<p>International Conference on Numerical Methods in Fluid Dynamics, July, Arcachon France .<\/p>\n<p>146a. \u00a0\u00a0WAKE CAPTURING IN POTENTIAL FLOW CALCULATIONS,\u00a0M. Hafez and W. Guo,\u00a0<em>Acta Mechanica\u00a0<\/em>, Vol. 143, No. 1-2, pp. 47-56<\/p>\n<p>146b. \u00a0\u00a0\u00a0<strong>Also appeared in:<\/strong><\/p>\n<p>AIAA &#8217;98, Ankara Turkey , September.<\/p>\n<p>147. \u00a0\u00a0A REVIEW OF THE CONTRIBUTIONS OF EARL MURMAN TO TRANSONICFLOW AND COMPUTATIONAL FLUID DYNAMICS,\u00a0Mohamed M. Hafez and David A. Caughey, &#8220;Frontiers of Computational Fluid Dynamics&#8221; published by World Scientific.<\/p>\n<p><strong>1999<\/strong><\/p>\n<p><em id=\"__mceDel\">148. \u00a0\u00a0SOME ANOMALIES OF NUMERICAL SIMULATION OF SHOCK WAVES PART I: INVISCID FLOWS,\u00a0M. M. Hafez and W. H. Guo,\u00a0<em>Computers and Fluid\u00a0<\/em>, Vol. 28, No 4-5, pp. 701-720\u00a0<em>.<\/em><\/em><\/p>\n<p>149. \u00a0\u00a0SOME ANOMALIES OF NUMERICAL SIMULATION OF SHOCK WAVES PART II: EFFECT OF ARTIFICIAL AND REAL VISCOSITY,\u00a0M. M. Hafez and W. H. Guo,\u00a0<em>Computers and Fluids\u00a0<\/em>, Vol. 28, No. 4-5, pp. 721-739<\/p>\n<p>150a. \u00a0\u00a0SOME COMPUTATIONAL PROBLEMS OF TRANSONIC FLOW AERODYNAMICS,\u00a0M. Hafez,\u00a0<em>Computational Fluid Dynamics Journal\u00a0<\/em>, Vol. No. 3, pp. 252, 265 (100%)<\/p>\n<p>150b. \u00a0\u00a0\u00a0<strong>Also appeared as:<\/strong><\/p>\n<p>AIAA Paper, Reno , NV<\/p>\n<p><strong>2000<\/strong><\/p>\n<p><em id=\"__mceDel\">151a. \u00a0\u00a0APPROXIMATE GRADIENTS FOR AIRFOIL DESIGN VIA OPTIMAL CONTROL,\u00a0T. Matsuzawa and M. Hafez,\u00a0<em>Computational Fluid Dynamics Journal\u00a0<\/em>, Vol. 8, No. 3, pp. 461-469 (50%)<\/em><\/p>\n<p>151b. \u00a0\u00a0\u00a0<strong>Also appeared as:<\/strong><\/p>\n<p>AIAA Applied Aerodynamics Conference, Norfolk , VA<\/p>\n<p>152a. \u00a0\u00a0A FINITE-ELEMENT APPROACH FOR MODELING INVISCID AND VISCOUS COMPRESSIBLE FLOWS USING PRISMATIC GRIDS,\u00a0S. Pandya and M. Hafez,\u00a0<em>Computatonal Fluid Dynamics Journal\u00a0<\/em>, Vol. 9, No. 2, pp. 43-54, (50%)<\/p>\n<p>152b. \u00a0\u00a0\u00a0<strong>Also appeared as:<\/strong><\/p>\n<p>AIAA CFD Conference, Norfolk , VA<\/p>\n<p>153. \u00a0\u00a0CONTRIBUTIONS OF ROBET W. MCCORMACK TO COMPUTATIONAL FLUID DYNAMICS,\u00a0D. Caughy and M. Hafez, Proceedings Frontier of Computational Fluid Dynamics by World Scientific (20%)<\/p>\n<p>&nbsp;<\/p>\n<p>154. \u00a0\u00a0ON THE INCOMPRESSIBLE LIMIT OF COMPRESSIBLE FLUID FLOW,<\/p>\n<p>M. Hafez, Proceedings Fluid Dynamics for the 21 st Century, published by Springer Verlag (100%)<\/p>\n<p><strong>2001<\/strong><\/p>\n<p>155. \u00a0\u00a0\u00a0\u00a0NUMERICAL SOLUTIONS OF THE INCOMPRESSIBLE NAVIER-STOKES EQUATIONS USING HELMHOLZ VELOCITY DECOMPOSITION,\u00a0K. Nikfetrat and M. Hafez\u00a0<em>Computational Fluid Dynamics Journal,\u00a0<\/em>Vol. 9, No. 3, pp. 266-280 (50%)<\/p>\n<p>156. \u00a0\u00a0NUMERICAL SIMULATION OF STEADY COMPRESSIBLE FLOWS USING A ZONAL FORMULATION PART I: INVISCID FLOWS,\u00a0C. Tang and M. Hafez,\u00a0<em>Computers and Fluids,\u00a0<\/em>Vol. 7-8, pp. 989-1001, (50%)<\/p>\n<p>157. \u00a0\u00a0NUMERICAL SIMULATION OF STEADY COMPRESSIBLE FLOWS USING A ZONAL FORMULATION PART II: VISCOUS FLOWS,\u00a0C. Tang and M. Hafez\u00a0<em>Computers and Fluids,\u00a0<\/em>Vol. 7-8, pp. 1003-1016, (50%)<\/p>\n<p>158. \u00a0\u00a0STABLE FINITE-ELEMENT SOLUTION OF THE INCOMPRESSIBLE NAVIER-STOKES EQUATIONS USING LINEAR INTERPOLATIONS FOR VELOCITY AND PRESSURE,\u00a0G. Fernandez and M. Hafez,\u00a0<em>Computer Methods in Applied Mechanics and Engineering,\u00a0<\/em>Vol. 191, No. 617 (50%)<\/p>\n<p>159. \u00a0\u00a0THREE DIMENSIONAL VISOUS INCOMPRESSIBLE FLOW SIMULATIONS USING HELMHOLTZ VELOCITY DECOMPOSITION,\u00a0K. Nikfetrat and M. Hafez,\u00a0<em>Computational Fluid Dynamics Journal,\u00a0<\/em>Vol. 10, No. 4, pp. 439-445, (50%)<\/p>\n<p><strong>2002 \u00a0<\/strong><\/p>\n<p>160. \u00a0\u00a0EXPLICIT METHODS FOR THE SOLUTION OF THE GENERALIZED CAUCHY\/RIEMANN EQUATIONS AND SIMULATION OF INVISCID ROTATIONAL FLOWS,\u00a0J. Roy, M. Hafez, and J.-J. Chattot,\u00a0<em>Computers and Fluids\u00a0<\/em>, Vol. 31, No. 4-7, pp. 769-788 (33%)<\/p>\n<p>161. \u00a0\u00a0\u00a0\u00a0NUMERICAL SIMULATIONS OF SONIC BOOMS IN NON-UNIFORM FLOWS,\u00a0Mohammed Hafez, Essam Wahba, Proceedings of the Second International Conference on Computational Fluid Dynamics, ICCFD, Sydney Australia<\/p>\n<p>162. \u00a0\u00a0\u00a0\u00a0THE SUPERBOOM AS A TRICOMI PROBLEM: EXTENSIONS AND APPLICATIONS,<\/p>\n<p>H. K. Cheng and M. M. Hafez, Proceedings of the IUTAM Symposium held in G\u00f6ttingen , Germany , 2-6 September, pp. 331-342<\/p>\n<p><strong><em>\u00a0<\/em>2003<\/strong><br \/>\n163. \u00a0\u00a0NUMERICAL SOLUTIONS OF CAUCHY-RIEMANN EQUATIONS FOR TWO AND THREE DIMENSIONAL FLOWS,\u00a0M. Hafez and J. Housman,\u00a0<em>Journal of\u00a0<\/em><em>Applied Mechanics\u00a0<\/em>, Vol. 70, No. 1, pp. 27-31 (50%)<\/p>\n<p>164. \u00a0\u00a0NUMERICAL SOLUTIONS FOR INCOMPRESSIBLE NAVIER-STOKES EQUATIONS USING MODIFED BERNOULLI&#8217;S LAW,\u00a0A. Shatalov and M. Hafez,\u00a0<em>International Journal for Numerical Methods in Fluids,\u00a0<\/em>Vol. 43, No. 9, pp 1107-1138<\/p>\n<p>165a. \u00a0\u00a0NON-UNIQUENESS PROBLEMS IN TRANSONIC FLOWS,\u00a0M. Hafez,\u00a0<em>Computational Fluid Dynamics Journal,\u00a0<\/em>ISSN 0918-6654, Vol. 11, No. 4, pp. 371-376<\/p>\n<p>165b. \u00a0\u00a0\u00a0<strong>Also appeared in:<\/strong><\/p>\n<p>Proceedings of IUTAM Symposium Transsonicum IV<\/p>\n<p>166a. \u00a0\u00a0HIERARCHIAL FORMULATIONS FOR TRANSONIC FLOW SIMULATIONS,\u00a0Mohamed Hafez and Essam Wahba,\u00a0<em>Computational Fluid Dynamics Journal,\u00a0<\/em>ISSN 0918-6654, Vol. 11, No. 4, pp. 377-382<\/p>\n<p>166b. \u00a0\u00a0\u00a0<strong>Also appeared in:\u00a0<\/strong><\/p>\n<p>Proceedings of IUTAM Symposium Transsonicum IV<\/p>\n<p><strong>2004 \u00a0\u00a0<\/strong><\/p>\n<p><em id=\"__mceDel\">167. \u00a0\u00a0INVISCID FLOWS OVER A CYLINDER,\u00a0Mohamed Hafez, Essam Wahba,\u00a0<em>Computer Methods in Applied Mechanics and Engineering,\u00a0<\/em>No. 193, pp. 1981-1995<\/em><\/p>\n<p>168. \u00a0\u00a0INCOMPRESSIBLE VISCOUS STEADY FLOW OVER FINITE FLAT PLATE AND ROTATING CYLINDER WITH SUCTION,\u00a0Mohamed Hafez and Essam Wahba,\u00a0<em>Computational Fluid Dynamics Journal,\u00a0<\/em>13(3): 74, pp. 571-584<\/p>\n<p><strong>2005<\/strong><\/p>\n<p><em id=\"__mceDel\">169. \u00a0\u00a0NUMERICAL SIMULATIONS OF TRANSONIC AERODYNAMIC FLOWS BASED ON A HIERARCHICAL FORMULATION,\u00a0M. Hafez and E. Wahba,\u00a0<em>International Journal for Numerical Methods in Fluids,\u00a0<\/em>Vol. 47, No. 6-7, pp. 491-516<\/em><\/p>\n<p>170. \u00a0\u00a0MULTRIGRID ACCELERATION FOR TRANSONIC AERODYNAMIC FLOW SIMULATIONS BASED ON A HIERARCHICAL FORMULATION,\u00a0M. Hafez and E. Wahba,\u00a0<em>International Journal for Numerical Methods in Fluids,\u00a0<\/em>Vol. 47, No. 6-7, pp. 517-542<\/p>\n<p>171. \u00a0\u00a0SIMULATION OF UNSTEADY INCOMPRESSIBLE FLOWS USING HELMHOLTZ-VELOCITY DECOMPOSITION,\u00a0A. Shatalov, M. Nakajima, M. Hafez,\u00a0<em>Computation Fluid Dynamics J.\u00a0<\/em>, Vol. 14, No. 3, pp. 246-254<\/p>\n<p><strong>2006<\/strong><\/p>\n<p>172a. \u00a0\u00a0SIMULATIONS OF VISCOUS TRANSONIC FLOWS OVER LIFTING AIRFOILS AND WINGS,\u00a0Mohamed Hafez and Essam Wahba,\u00a0<em>Computers and Fluids\u00a0<\/em>, Vol. 36, No. 182<\/p>\n<p>172b. \u00a0\u00a0\u00a0<strong>Also appeared in:<\/strong><\/p>\n<p>AIAA Theoretical Fluid Dynamics Conference, 2005<\/p>\n<p>173. \u00a0\u00a0NUMERICAL SIMULATIONS OF INCOMPRESSIBLE AERODYNAMIC FLOWS USING VISCOUS\/INVISCID INTERACTION PROCEDURES,\u00a0M. Hafez, A. Shatalov, E. Wahba.\u00a0<em>Computer Methods in Applied Mechanics &amp; Engineering\u00a0<\/em>, Vol. 195. pp 3110-3127<\/p>\n<p>174. \u00a0\u00a0VISCOUS\/INVISCID INTERACTION PROCEDURES FOR COMPRESSIBLE AERODYNAMIC FLOW SIMULATIONS,\u00a0Mohamed Hafez and Essam Wahba, 100 Years of Boundary Layer Research, Springer, 2006, Computers and Fluids, Vol. 35, No. 7, Aug, pp. 755-761<\/p>\n<p>175. \u00a0\u00a0REVIEW OF DAVID CAUGHEY&#8217;S CONTRIBUTIONS TO CFD,\u00a0M. Hafez, Frontiers of Computational Fluid Dynamics, 2006 World Scientific<\/p>\n<p><em id=\"__mceDel\">176. \u00a0IMPROVED NUMERICAL SIMULATIONS OF STEADY AND UNSTEADY INCOMPRESSIBLE FLOWS BASED ON VISCOUS\/INVISCID INTERACTION PROCEDURE,\u00a0<em id=\"__mceDel\">M. Hafez, A. Shatalov, M. Nakajima, ICCFD4, Belgium , 2006<\/em><\/em><\/p>\n<p>2009\u00a0\u00a0\u00a0 177.\u00a0\u00a0\u00a0\u00a0 Preconditioned methods for simulations of low speed compressible flows<\/p>\n<p>Housman, J. ,Kiris,C., and Hafez, M.<em>Computers &amp; Fluids<\/em> Vol.38,pp 1411-1423,<\/p>\n<p>&nbsp;<\/p>\n<ol start=\"178\">\n<li>Time-Derivative Preconditioning Methods for Multicomponent Flows-<\/li>\n<\/ol>\n<p>Part I:Riemann Problems,<\/p>\n<p>Housman,J.,Kiris,C.,and Hafez,M., Journal of Applied Mechanics Vol.76 ,021210 (1-13)<\/p>\n<p>&nbsp;<\/p>\n<ol start=\"179\">\n<li>Time-Derivative Preconditioning Methods for Multicomponent Flows- Part II:Two Dimensional Applications,<\/li>\n<\/ol>\n<p>Housman,J.,Kiris,C.,and Hafez,M., Journal of Applied Mechanics Vol.76, 031013 (1-12)<\/p>\n<p>&nbsp;<\/p>\n<p>2011\u00a0\u00a0\u00a0 180.\u00a0\u00a0\u00a0\u00a0 Experiments with a Class of Nonlinear Anti-Diffusion Schemes<\/p>\n<p>Yekta,s.,and Hafez,M., Computational Fluid Dynamics Journal,Vol.18,No.2,pp 213-237<\/p>\n<ol start=\"181\">\n<li>Experiments with a Class of Nonlinear Anti-Diffusion Schemes<\/li>\n<\/ol>\n<p>Part II Turbulent Flows,<\/p>\n<p>Yekta,S., and Hafez,M., Computational Fluid Dynamics Journal,Vol.18,No.2,pp 238&#8211;250<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>2012\u00a0\u00a0\u00a0 182.\u00a0\u00a0\u00a0\u00a0 A Numerical Study of Chaotic Dynamics in Thermal Ignition and Chemically Reactive Swirling Flows<\/p>\n<p>Tavernetti, W., and Hafez, M., Seventh International Conference on Computational Fluid Dynamics, Hawaii,\u00a0 July 9-13<\/p>\n<p>&nbsp;<\/p>\n<ol start=\"183\">\n<li>Numerical Simulation of Incompressible Viscous Flow using a Velocity-Pressure-Vorticity Variational Formulation and Direct Solver,<\/li>\n<\/ol>\n<p>Chacon, B. and Hafez, M., Seventh International Conference on Computational Fluid Dynamics, Hawaii, July 9-13<\/p>\n<p>&nbsp;<\/p>\n<ol start=\"184\">\n<li>Finite Volumes Simulations of Aerodynamic Flows Based on Velocity\/Vorticity Formulations,<\/li>\n<\/ol>\n<p>Mihaylov, T. and Hafez, M., International Journal of Aerodynamics ,Vol.#3, 2013<\/p>\n<p>&nbsp;<\/p>\n<p>185\u00a0\u00a0\u00a0\u00a0\u00a0 An Informal Introduction to Basic Concepts of Aerodynamics: Part I\u00a0 Incompressible Two-Dimensional Flows<\/p>\n<p>Hafez, M. International Journal of Aerodynamics ,Vol.#4,2013<\/p>\n<p>&nbsp;<\/p>\n<ol start=\"186\">\n<li>\u00a0\u00a0\u00a0\u00a0\u00a0 An Informal Introduction to Basic Concepts of Aerodynamics: Part II\u00a0 Thin Airfoils and<\/li>\n<\/ol>\n<p>Wings in Incompressible Fluid Flows<\/p>\n<p>Hafez, M. International Journal of Aerodynamics,Vol.#4,2013<\/p>\n<p>&nbsp;<\/p>\n<p>New since last action<\/p>\n<p>&nbsp;<\/p>\n<p>Aa4\u00a0\u00a0\u00a0 \u00a02015\u00a0\u00a0 *187. \u00a0 Theoretical and Applied Aerodynamics.<\/p>\n<p>J.J. Chattot and M. M. Hafez, Springer<\/p>\n<p>&nbsp;<\/p>\n<p>Aa1\u00a0 \u00a0 2016\u00a0\u00a0\u00a0 *188.\u00a0\u00a0 Transonic Flows with Friction and Heat Addition,<\/p>\n<p>W.E.Tavernetti and M.M.Hafez (Co-author-responsible for 50% of the paper)<\/p>\n<p>Acta Aerodynamica Sinica 2,pp 175-181 (2016)<\/p>\n<p>&nbsp;<\/p>\n<p>Aa1\u00a0\u00a0\u00a0\u00a0 2017\u00a0\u00a0\u00a0\u00a0 *189.\u00a0\u00a0 Semi-Implicit Numerical Simulations of Geometrically Nonlinear Beam, Plate, and Shell\u00a0Dynamical Systems<\/p>\n<p>T.Alexeev and M.M.Hafez (Co-author-responsible for 50% of the paper)<\/p>\n<p>International Journal for Computational Methods in Engineering Science and Mechanics, 18, pp117-127, (2017)<\/p>\n<p>&nbsp;<\/p>\n<p>Aa1\u00a0 \u00a0\u00a0 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 *190.\u00a0\u00a0 A Numerical Study of Chaotic Dynamics of Incompressible Chemically Reactive Swirling\u00a0Flows,<\/p>\n<p>W.E.Tavernetti and M.M.Hafez (Co-author responsible for 50% of the paper)<\/p>\n<p>Advances and Applications in Fluid Mechanics 20, pp 421-446 (2017)<\/p>\n<p>&nbsp;<\/p>\n<p>Aa1\u00a0 \u00a0 \u00a0 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 *191. \u00a0 A Numerical Study of Axisymmetric Compressible Non-Isothermal and Reactive Swirling\u00a0Flow,<\/p>\n<p>W.E. Tavernetti and M.M.Hafez (Co-author-responsible for 50% of the paper)<\/p>\n<p>International Journal for Computational Methods in Engineering Science and Mechanics,18, 238- 249 (2017)<\/p>\n<p>&nbsp;<\/p>\n<p>Aa1\u00a0 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 *192.\u00a0\u00a0 Numerical Modeling and Simulation of Combustion Phenomena Related to Thermal\u00a0Ignition and Flame Front,<\/p>\n<p>W.E. Tavernetti and M.M. Hafez (Co-author-responsible for 50% of the paper)<\/p>\n<p>International Journal of Computational Methods 15,No.1 pp 38-65 (2018)<\/p>\n<p>&nbsp;<\/p>\n<p>Aa2\u00a0 \u00a0 \u00a0 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0\u00a0*193.\u00a0\u00a0 Integrated Design, Manufacturing and Analysis of Airfoil and Nozzle Shapes in an\u00a0Undergraduate Course<\/p>\n<ol>\n<li>\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 Linke, I. Garretson, F.Jan and M. M. Hafez (Co-author responsible for 25% of the paper)\u00a045th SME N. American Manufacturing Research Conference, NAMRC 45,\u00a0 \u00a0Los Angeles,\u00a0 \u00a0 Procedia Manufacturing 10, 1077-1086 (2017)<\/li>\n<\/ol>\n<p>&nbsp;<\/p>\n<p>Aa2\u00a0 \u00a0 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 *194.\u00a0\u00a0 Design and Manufacturing of Nozzles and Airfoil Shapes for Compressible Flow\u00a0 Visualization in a New Engineering Course<\/p>\n<ol>\n<li>\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 Linke, I. Garretson, F. Jan. L. Martin and M. M. Hafez (Co-author-responsible for 20% of the\u00a0 paper), ASEE Paper ID # 17859, American\u00a0Society for Engineering Education (2017)<\/li>\n<\/ol>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>Aa1.\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 2018\u00a0\u00a0 *195. Hydraulic Analogy and Visualization of Two-Dimensional Compressible Fluid Flows<\/p>\n<p>Part I :Theoretical Aspects<\/p>\n<p>M.M. Hafez (Sole Author-100%)<\/p>\n<p>International Journal of Aerodynamics Vol.6,pp 41-66,(2018)-\u00a0 Available Electronically<\/p>\n<p>&nbsp;<\/p>\n<p>Aa1.\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0\u00a0\u00a0 *196.\u00a0 Hydraulic Analogy and Visualization of Two-Dimensional Compressible Fluid Flows<\/p>\n<p>Part II :Water Table Experiments<\/p>\n<p>M.M.Hafez,F.Jan.B.Linke and I.Garretson (Co-author-responsible for 50% of the paper)<\/p>\n<p>International Journal of Aerodynamics Vol.6,pp 67-82,(2018)-\u00a0 Available Electronically<\/p>\n<p>&nbsp;<\/p>\n<p>Aa1 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0*197.\u00a0 Transonic Combustion:Steady and Unsteady Potential Models<\/p>\n<p>W.E.Tavernetti and M.M.Hafez (Co-author-responsible for 50% of the paper)<\/p>\n<p>Journal of Computational Methods in Science and Engineering Vol.18, pp 1-15, (2018)-<\/p>\n<p>Available Electronically.<\/p>\n<p>Aa1 2019 *198. Introduction to Computer Simulations for Integrated STEM College Education,<\/p>\n<p>by M.M.Hafez and W.E.Tavernetti,World Scientific,Singapore,Oct.2019.<\/p>\n<p>Aa1 2020 *199. Simulations of Shallow Water Surface Waves and Comparison with Water Table Experiments,<\/p>\n<p>by M.M.Hafez , A.Chuen and A.Burkhead ,International J. Aerodynamics Vol.7 .No.1 , pp.18-35<\/p>\n<p>Aa1 2021 * 200. Visualization of Inviscid Transonic Flows Using A Water Table ,<\/p>\n<p>by A.Burkhead and M.M.Hafez , International Journal of Aerodynamics Vol.7 ,No.2, pp.151-175<\/p>\n<p>Aa1 2021* 201.Numerical Simulations of Transonic Flows with Non-Unique Solutions,<\/p>\n<p>by A.Chuen and M.M.Hafez , International Journal of Aerodynamics Vol.7 ,No.2, pp.127-150<\/p>\n<p>Aa1 2022* 202.Numerical Simulation of Unsteady Inviscid Flows and Nonlinear Wave Propagation<\/p>\n<p>by Aaron C. Burkhead, M.Hafez , Internayional Journal of Aerodynamics Vol.7 ,No.4 ,In Press &#8211; available electronically.<\/p>\n<p>Aa1 2022* 203. Numerical Simulations of Laminar Separated Flows Based on Compressible &amp; Incompressible Navier-Stokes Equations<\/p>\n<p>for Engineering Education by A. Chuen, M.Hafez , International Journal of Aerodynamics\u00a0 Vol.7 ,No.4 , In Press- available electronically.<\/p>\n<p>Aa1 2023* 204. Numerical Simulations of 2D Steady Laminar Compressible and Incompressible Flows with Separation for Engineering Education<\/p>\n<p>by J.Chai and M.M.Hafez, Advances and Applications in Fluid Mechanics Vol.30, Number 2, 2023, Pages 121-146<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p><a href=\"http:\/\/mae.ucdavis.edu\/faculty\/hafez\/\">\u00a0<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Publications: 1972 1. \u00a0\u00a0THREE-DIMENSIONAL STRUCTURE AND EQUIVALENCE RULE OF TRANSONIC FLOWS,\u00a0H. K. Cheng and M. M. Hafez,\u00a0AIAA Journal\u00a0, 10:1115-1117. 1973 2. \u00a0\u00a0EQUIVALENCE RULE AND TRANSONIC FLOWS INVOLVING LIFT,\u00a0H. K. Cheng and M. M. Hafez,\u00a0AIAA Paper 73-88\u00a0, 11th AIAA Science Meeting, January 10-12, Washington , DC . 3.\u00a0\u00a0 \u00a0EQUIVALENCE AND TRANSONIC \u2026 <a class=\"continue-reading-link\" href=\"https:\/\/faculty.engineering.ucdavis.edu\/mhafez\/publications\/\"> Continue reading <span class=\"meta-nav\">&rarr; <\/span><\/a><\/p>\n","protected":false},"author":3,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"open","template":"","meta":{"inline_featured_image":false,"ngg_post_thumbnail":0,"footnotes":""},"class_list":["post-17","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/faculty.engineering.ucdavis.edu\/mhafez\/wp-json\/wp\/v2\/pages\/17","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/faculty.engineering.ucdavis.edu\/mhafez\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/faculty.engineering.ucdavis.edu\/mhafez\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/faculty.engineering.ucdavis.edu\/mhafez\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/faculty.engineering.ucdavis.edu\/mhafez\/wp-json\/wp\/v2\/comments?post=17"}],"version-history":[{"count":16,"href":"https:\/\/faculty.engineering.ucdavis.edu\/mhafez\/wp-json\/wp\/v2\/pages\/17\/revisions"}],"predecessor-version":[{"id":277,"href":"https:\/\/faculty.engineering.ucdavis.edu\/mhafez\/wp-json\/wp\/v2\/pages\/17\/revisions\/277"}],"wp:attachment":[{"href":"https:\/\/faculty.engineering.ucdavis.edu\/mhafez\/wp-json\/wp\/v2\/media?parent=17"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}