Mohamed M. Hafez Professor of Mechanical Engineering B.S. (1967), Aeronautical Engineering, Cairo University, Egypt M.S. (1970), Aerospace Engineering, University of Southern California, U.S.A. Engr. (1971), Aerospace Engineering, University of Southern California, U.S.A. PhD. (1972), Aerospace Engineering, University of Southern California, U.S.A. M.S. (1973), Mathematics, University of Southern California, U.S.A. Mechanical & Aeronautical Engineering University of California, Davis Davis, CA 95616-5294 Office: 2092 Bainer, (530) 752-0212 Lab: Fax: (530) 752-4158 Email: mhafez@ucdavis.edu

• EAE-126 (Theoretical Aerodynamics)
• ENG-180 (Engineering Analysis)
• EAE-230 (Advanced Aerodynamics-Inviscid Flow)
• EAE-234 (Computational Aerodynamics)

Transonic aerodynamics, computational fluid dynamics.

1972

Three-Dimensional Structure and Equivalence Rule of Transonic Flows, H. K. Cheng and M. M. Hafez, AIAA Journal, 10:1115-1117.

Equivalence Rule and Transonic Flows Involving Lift, H. K. Cheng and M. M. Hafez, AIAA Paper 73-88, 11th AIAA Science Meeting, January 10-12, Washington, Dc.

Equivalence and Transonic Flow Theory Involving Lift, H. K. Cheng and M. M. Hafez, AIAA Journal, 11(8):1210-1212.

Transonic Equivalence Rule: a Nonlinear Theory Involving Lift, H. K. Cheng and M. M. Hafez, Journal of Fluid Mechanics, 72:161-187.

An Acceleration Technique Related to Wynn's Algorithm With Application to Transonic Flow Calculations, M. M. Hafez and H. K. Cheng, Proceedings of the 5th International Conference on Numerical Methods in Fluid Dynamics.

Mixed Finite Element Models and Dual Iterative Methods for Transonic Flow, L. C. Wellford and M. M. Hafez, Proceedings of Second International Symposium on Finite Element Methods in Flow Problems, Italy, June.

Application of Finite Element Approach to Transonic Flow Problems, M. M. Hafez, E. M. Murman, and L. C. Wellford, Proceedings of 13th Annual Meeting Society of Engineering Science, Hampton, Va, November (Nasa Cp-2001).

Convergence Acceleration of Relaxation Solutions for Transonic Flow Computations, M. M. Hafez and H. K. Cheng, AIAA Journal, 15(3):329-336.

Shock Fitting Applied to Relaxation Solutions of Transonic Small-Disturbance Equations, M. M. Hafez and H. K. Cheng, , 15(6):786-793.

A Shock-Fitting Algorithm for the Full Potential Equation, M. M. Hafez and E. M. Murman, AIAA 3rd Computational Fluid Dynamics Conference, Albuquerque, Nm, June.

A Finite Element First-Order Equation Formulation for the Small Disturbance Transonic Flow Problem, L. C. Wellford and M. M. Hafez, Computer Methods in Applied Mech. and Engr., 22:161-186, 1980.

Also appeared as:

Implicit Velocity Formulation for the Calculation of Transonic Flow By Finite Element Method, L. C. Wellford and M. M. Hafez, Symposium on Application of Computer Methods in Engineering, University of Southern California, Los Angeles, Ca, August.

Finite Elements and Finite Differences for Transonic Flow Calculations, M. M. Hafez, L. C. Wellford, and E. M. Murman, In: Finite Elements in Fluids, Vol. 3, R. H. Gallagher, J. T. Oden, C. Taylor, and O. C. Zinkiewicz (Eds.), John Wiley & Sons, Inc., London.

Artificial Compressibility Methods for Numerical Solution of Transonic Full Potential Equation, M. M. Hafez, J. C. South, and E. M. Murman, AIAA Journal, 17:838-844.

Also appeared in: AIAA Paper 78-1148, AIAA 11th Fluid and Plasma Dynamics Conference, Seattle, Wa, July.

Vector Processor Algorithms for Transonic Flow Calculations, J. C. South, J. D. Keller, and M. M. Hafez, AIAA Journal, 18:786-792.

Also appeared in: Proceedings of AIAA Computational Fluid Dynamics Conference, Williamsburg, Va, July, 1979.

Perturbation of Transonic Flow With Shocks, M. Hafez, In: Numerical and Physical Aspects of Aerodynamic Flows, T. Cebeci (Ed.), Springer-Verlag, January.

Transonic Small Disturbance Calculations Including Entropy Corrections, M. Hafez and D. Lovell, In: Numerical and Physical Aspects of Aerodynamics Flows II, T. Cebeci (Ed.), Springer-Verlag, January.

Conjugate Gradient Methods Applied to Transonic Finite Difference and Finite Element Calculations, Y. Wong and M. Hafez, AIAA Journal, 20(11):1526-1534.

Finite Element Solutions of Transonic Flow Problems, W. Habashi and M. Hafez, AIAA Journal, 20(10):1368-1377.

Preconditioned Conjugate Gradients for Transonic Flow Calculations, Y. Wong and M. Hafez, In: Preconditioning Methods: Analysis and Applications, Gordon and Breach Science Publishers.

Transonic Wind Tunnel Wall Interference Corrections for Three-Dimensional Models, M. Rizk, M. Hafez, E. Murman, and D. Lovell, AIAA Paper 82-0588.

Finite Element Stream Function Solutions of Transonic Rotational Internal and External Flows, W. Habashi and M. Hafez, Journal of Numerical Methods for Partial Differential Equations, 1(2), 1985.

Also appeared in: AIAA Paper 82-1268.

Numerical Solution of Transonic Stream Function Equation, M. Hafez and D. Lovell, AIAA Journal, 21(3):327-336.

Improved Relaxation Schemes for Transonic Potential Calculations, M. Hafez and D. Lovell, International Journal for Numerical Methods in Fluids, 8:1-16, 1988.

Also appeared in: AIAA Paper 83-0372.

Finite Element Methods for Internal Flow Calculations, W. Habashi and M. Hafez, AIAA Paper 83-1404.

Computation of Three-Dimensional Transonic Flows Using Two Stream Functions, A. Sherif and M. Hafez, International Journal for Numerical Methods in Fluids, 8:17-29, 1988.

Also appeared in: AIAA Paper 83-1948.

Stability Analysis of Intermediate Boundary Conditions in Approximate Factorization Schemes, J. South, and M. Hafez, Applied Num. Math., 2:181-192, 1986.

Also appeared in: AIAA Paper 83-1898.

Entropy and Vorticity Corrections for Transonic Flows, M. Hafez and D. Lovell, International Journal for Numerical Methods in Fluids, 8:31-53, 1988.

Also appeared in: AIAA Paper 83-1926.

Progress in Finite Elements for Transonic Flows, M. Hafez, AIAA Paper 83-1919.

Improved Finite-Difference Schemes for Transonic Potential Flow Calculations, M. Hafez, W. Whitlow, and S. Osher, AIAA Journal, 25(11):1456-1462, 1987.

Also appeared in: AIAA Paper 84-0092, 1984.

A Rule for Selecting Analytical Boundary Conditions for the Conservative Quasi-One Dimensional Nozzle Flow Equations, S. Wornom and M. Hafez, AIAA Paper 84-0431.

Calculation of Quasi-One Dimensional Flows With Shocks, S. Wornom and M. Hafez, Computers & Fluids, 24(5), 1986.

Also appeared in: AIAA Paper 84-1245.

Conservative Calculations of Non-Isentropic Transonic Flows, M. M. Hafez, W. G. Habashi, and P. L. Kotuga, International Journal for Numerical Methods in Fluids, 5:1047-1057, 1985.

Calculation of Separation Bubbles Using Boundary Layer-Type Equations, Part I, A. Halim and M. Hafez, In: Recent Advances in Numerical Methods in Fluids, Vol. 3.

Calculation of Separation Bubbles Using Boundary Layer-Type Equations, Part II, A. Halim and M. Hafez, AIAA Journal, 24(4):385, 1986.

Also appeared in: AIAA Paper 84-1585.

Finite Element Solutions of Inviscid Transonic External and Internal Flows, W. Habashi and M. Hafez, In: Recent Advances in Numerical Methods in Fluids, Vol. 4.

Numerical Algorithms for Transonic Inviscid Flow Calculations, M. Hafez, In: Recent Advances in Numerical Methods in Fluids, Vol. 4.

Numerical Procedures for Viscous/Inviscid Interaction Problems, M. Hafez and E. Parlette, 3rd Symposium on Numerical and Physical Aspects of Aerodynamics Flows, Long Beach, Ca, January.

Analysis of Strongly Interacting Viscous-Inviscid Flows Including Separation, J. Carter, D. Edwards, R. Davis, and M. Hafez, Proceedings of Ninth International Conference on Numerical Methods in Fluid Dynamics, Springer-Verlag, January.

Computation of Choked and Supersonic Turbomachinery Flows By a Modified Potential Method, W. G. Habashi, M. M. Hafez, and P. L. Kotuga, AIAA Journal, 23(2):214-220.

Convergence Acceleration of Iterative Solutions of Euler Equations for Transonic Flow Computations, M. Hafez, E. Parlette, and M. Salas, Computational Mechanics, 1:165-176.

Relaxation Algorithms for the Euler Equations, S. Wornom and M. Hafez, AIAA Journal, 25(4):523-524.

Calculation of Internal Viscous Flows, W. Habashi, M. Hafez, and L. Mclean, AIAA Paper 85-1124.

Entropy Condition Satisfying Approximations for the Full Potential Equation of Transonic Flow, S. Ohsher, M. Hafez, and W. Whitlow, Jr., Math. Computat., 44(169):1-29.

A Modified Least Squares Formulation for a System of First-Order Equations, M. M. Hafez and T. N. Phillips, Applied Numerical Mathematics, Vol. 1, Pp. 339-347, North-Holland.

Implicit Conservative Schemes for the Euler Equations, S. F. Wornom and M. M. Hafez, AIAA Journal, 24(2):215.

A Minimal Residual Method for Transonic Potential Flows, Y. S. Wong and M. M. Hafez, 8th International Conference on Numerical Methods in Fluid Dynamics, Lecture Notes in Physics, Vol. 170, Springer Verlag, 1983.

Some Iterative Schemes for Transonic Potential Flows, Y. S. Wong and M. M. Hafez, AIAA Journal, 21(5):808. (50%)

Numerical Study of Vortex Breakdown, M. Hafez, G. Kuruvila, and M. D. Salas, Applied Num. Math., 2:291-302. (33%)

Viscous/Inviscid Analysis of Transonic Shock-Induced Separation Including Normal Pressure Gradients, D. E. Edwards, J. E. Carter, and M. M. Hafez, AIAA Journal, 24(5), May. (33%)

Time Accurate Solutions of the Navier-Stokes Equations for Reacting Flows, H. S. Dwyer, M. Soliman, and M. Hafez, Proceedings of the 10th International Conference on Numerical Methods in Fluid Mechanics, Beijing, China, June. (20%)

Vortex Breakdown Simulation Based on a Nonlinear Inviscid Model, M. Hafez and M. Salas, In: Studies of Vortex Dominated Flows, Springer Verlag, January. (50%)

Finite Element Solutions of the Compressible Navier-Stokes Equations, W. G. Habashi, M. F. Peeters, G. Guevremont, and M. Hafez, AIAA Journal, 25(7):944-948. (25%)

Compressible Inviscid Flows, W. G. Habashi and M. Hafez, In: Finite Element Handbook, H. Kardestuncer and D. H. Norrie (Eds.), Pp. 3.218-3.228, Mcgraw-Hill Book Company. (50%)

Transonic Flow With Shock Waves: Mixed-Type Algorithms, M. Hafez and W. G. Habashi, In: Finite Element Handbook, H. Kardestuncer and D. H. Norrie (Eds.), Pp. 3.259-3.268, Mcgraw-Hill Book Company. (50%)

Analysis and Design of Subsonic and Supersonic Turbomachinery, W. G. Habashi and M. Hafez, In: Finite Element Handbook, H. Kardestuncer and D. H. Norrie (Eds.), Pp. 3.107-3.117, Mcgraw-Hill Book Company. (50%)

Compressible Viscous Internal Flow Calculations By a Finite Element Method, M. Hafez and W. Habashi, AIAA Paper 87-1665, AIAA Aerospace Meeting, Reno, Nv, January. (50%)

Some Uses of Direct Solvers in Computational Fluid Mechanics, H. A. Dwyer, K. Matsuno, S. Ibrani, and M. Hafez, AIAA Paper 87-0594, AIAA Aerospace Meeting, Reno, Nv, January. (20%)

Also appeared in: Proceedings of the 18th Annual Conference of the Japanese Society of Aeronautics and Astronautics (In Japanese). (20%)

Three-Dimensional Viscous Flow Solutions With a Vorticity-Stream Function Formulation, R. L. Davis, J. E. Carter, and M. Hafez, AIAA Journal, 27(7):892-900, 1989. (33%)

Also appeared in: AIAA Paper 87-0601, AIAA 25th Aerospace Sciences Meeting, Reno, Nv, January. (33%)

Vortex Breakdown Simulation, M. Hafez, J. Ahmad, G. Kuravila, and M. Salas, AIAA Paper 87-1343, AIAA Fluid Dynamics Meeting, Hawaii, June. (30%)

Applications of Wynn's Algorithm to Transonic Flow Calculations, M. Hafez, S. Palaniswamy, G. Kuravila, and M. Salas, AIAA Paper 87-1143, AIAA Computational Fluid Dynamics Meeting, Hawaii, June. (30%)

Calculations of Transonic Flows With Shocks Using Newton's Method and Direct Solver: Part I. Potential Flow, M. Hafez and S. Palaniswamy, 6th Imacs International Symposium on Computer Methods for Partial Differential Equations, Lehigh University, Bethlehem, Pa, June. (50%)

An Entropy Correction Method for Unsteady Full Potential Flows With Strong Shocks, W. Whitlow, Jr., M. M. Hafez, and S. J. Osher, Journal of Fluids and Structures, 1:401-414. (33%)

Calculations of Transonic Flows With Shocks Using Newton's Method and Direct Solver: Part II. Solution of Euler Equations, M. Hafez, S. Palaniswamy, and P. Mariani, AIAA Paper 88-0226, AIAA 26th Aerospace Sciences Meeting, January 11-14, Reno, Nv. (33%)

Calculation of Viscous Flows With Separation Using Newton's Method and Direct Solver, C. P. Van Dam, M. Hafez, and J. Ahmad, AIAA Journal, 28(5):937-939, 1990. (33%)

Also appeared in: AIAA Paper 88-0412, AIAA 26th Aerospace Sciences Meeting, January 11-14, Reno, Nv. (33%)

Vortex Breakdown Simulation, Part II, M. Hafez and J. Ahmad, AIAA Paper 88-0508, AIAA 26th Aerospace Sciences Meeting, January 11-14, Reno, Nv. (50%)

Vector Potential Methods, M. Hafez, Transonic Symposium: Theory, Application, and Experiment, Nasa Conference Publication 3020, Vol. 1, Part 1, April 19-21, Hampton, Va. (100%)

A Velocity-Vorticity Finite Element Formulation of the Compressible Navier-Stokes Equations, G. Guevermont, W. G. Habashi, M. M. Hafez, and M. F. Peeters, In: Computational Mechanics '88: Theory and Applications, Proceedings of the International Conference on Computational Engineering Science, S. N. Atluri and G. Yagawa (Eds.), April 10-14, At Lanta, Ga, Springer-Verlag. (25%)

Numerical Simulation of Rotational Flows, M. Hafez, and J. Ahmad, Symposium Transsonicum III, Iutam Symposium, Pp. 339-354, May 24-27, Gottingen, Germany. (50%)

A Velocity/Vorticity Method for Viscous Incompressible Flow Calculations, M. Hafez, J. Dacles, and M. Soliman, In: Lecture Notes in Physics, Proceedings of the 11th International Conference on Numerical Methods in Fluid Dynamics, D. L. Dwyer, M. Y. Hussaini, and R. G. Voigt (Eds.), Pp. 288-296, Williamsburg, Va, June. (33%)

Non-Unique Solutions of the Euler Equations, G. Baruzzi. W. G. Habashi, and M. M. Hafez, In: Advances in Fluid Dynamics, Proceedings of the Symposium in Honor of Maurice Holt on His 70th Birthday, W. F. Ballhaus, Jr., and M. Y. Hussaini (Eds.), Pp. 1-10, Williamsburg, Va, June. (33%)

Analysis of the Convergence History of Flow Through Nozzles With Shocks, A. Y. Cheer, M. Saleem, T. H. Pulliam, and M. Hafez, AIAA Paper 88-3795-Cp, AIAA/Asme/Siam/Aps First National Fluid Dynamics Congress, Pp. 620-629, July 25-28, Cincinnati, Oh. (25%)

Finite Element Solution of the Navier-Stokes Equations By a Velocity-Vorticity Method, W. G. Habashi, G. Guevremont, and M. M. Hafez, International Journal for Numerical Methods in Fluids, 10:461-475, 1990. (33%)

Also appeared in: Proceedings of the International Conference on Computational Method in Flow Analysis, Volume 1, H. Niki and M. Kawahara (Eds.), September 5-8, Okayama, Japan. (33%)

Comparison of Iterative and Direct Solution Methods for Viscous Flow Problems, C. P. Van Dam, and M. Hafez, AIAA Journal, 27(10):1459-1461. (50%)

Also appeared in: Proceedings of International Conference on Comp. Techniques and Applications With Special Emphasis on Computational Fluid Dynamics, G. Davis and C. Fletcher (Eds.), North Holland. (50%)

Calculations of Rotational Flows Using Stream Function, M. Hafez, C. Yam, K. Tang, and H. Dwyer, AIAA Paper 89-0474, 27th Aerospace Sciences Meeting, January 9-12, Reno, Nv. (30%)

Unsteady Navier-Stokes Calculations Using Biharmonic Formulation and Direct Solver, C. P. Van Dam, M. Hafez, and D. Brucker, AIAA Paper 89-0465, 27th Aerospace Sciences Meeting, January 9-12, Reno, Nv. (33%)

Vortex Breakdown Simulation, Part III: Compressibility Effects, M. Hafez, and J. Ahmad, 4th Symposium on Numerical and Physical Aspects of Aerodynamic Flows, January 16-19, Long Beach, Ca. (50%)

A Velocity Decomposition Method for Viscous Incompressible Flow Calculations, M. Hafez and M. Soliman, Proceedings of the Seventh International Conference on Finite Element Methods in Flow Problems, T. J. Chung and G. R. Karr, Eds., April 3-7, Huntsville, Al. (50%)

Finite Element Vorticity Based Methods for the Solution of the Compressible Navier-Stokes Equations, W. G. Habashi, G. Guevremont, M. F. Peeters, S. M. Przybytkowski, and M. M. Hafez, In: Computational Methods in Viscous Aerodynamics, T. K. S. Murthy and C. A. Brebbia (Eds.), Elsevier Publishers, Pp. 198-230. (20%)

A Velocity Decomposition Method for Viscous Incompressible Flow Calculations, Part II, M. Hafez and M. Soliman, AIAA 9th Computational Fluid Dynamics Conference, June 13-15, Buffalo, Ny. (50%)

Convergence Acceleration of Viscous and Inviscid Hypersonic Flow Calculations, S. Cheung, A. Cheer, M. Hafez, and J. Flores, AIAA Journal, 29(8):1214-1222. (33%)

Also appeared in: AIAA Paper 89-1875, AIAA 20th Fluid Dynamics, Plasma Dynamics and Lasers Conference, June 12-14, Buffalo, Ny. (33%)

Unsteady Viscous Flow Calculations Including Surface Heating and Cooling Effects, C. P. Van Dam, M. Hafez, D. Brucker, and S. Elli, Proceedings of the Eighth Gamm-Conference on Numerical Methods in Fluid Mechanics, P. Wesseling (Ed.), Pp. 79-88, Vieweg. (33%)

Non-Unique Solution of Inviscid Flow in Two Dimensional Nozzles, K. Nikfetrat and M. Hafez, AIAA Paper 90-0443, 28th Aerospace Sciences Meeting, January 8-11, 1990, Reno, Nv. (50%)

Numerical Methods for 3-D Viscous Incompressible Flows Using Velocity/Vorticity Formulation, J. Dacles and M. Hafez, AIAA Paper 90-0237, 28th Aerospace Sciences Meeting, January 8-11, Reno, Nv. (50%)

Finite Element Solution of the 3-D Compressible Navier-Stokes Equations By a Velocity-Vorticity Method, G. Guevremont, W. G. Habashi, P. L. Kotiuga and M. M. Hafez, Journal of Computational Physics, 107(1):176-187, 1993. (25%)

Also appeared in: AIAA Paper 90-0404, 28th Aerospace Sciences Meeting, January 8-11, Reno, Nv. (25%)

Finite Element Solutions of the Euler Equations for Transonic External Flows, G. Baruzzi, W. G. Habashi, and M. M. Hafez, AIAA Journal, 29(11):1886-1893, 1991. (33%)

Also appeared in: AIAA Paper 90-0405, 28th Aerospace Sciences Meeting, January 8-11, Reno, Nv. (33%)

Design of Airfoils in Transonic Flows, M. Hafez and J. Ahmad, 12th International Conference on Numerical Methods in Fluid Dynamics, the University of Oxford, England, July 9-13. (50%)

A Newton-Galerkin Direct Scheme for the Solution of the Euler and Navier-Stokes Equations, W. G. Habashi, G. Baruzzi, M. M. Hafez, and M. F. Peeters, Proceedings of the Soviet-American Workshop in Computational Aerodynamics, October 22-28, 1989, Tashkent, Uzbekistan. (25%)

Numerical Solution of the Incompressible Navier-Stokes Equations in Primitive Variables on Unstaggered Grids, M. Hafez and M. Soliman, AIAA Paper 91-1561, AIAA 10th Computational Fluid Dynamics Conference, June 24-27, 1991, Honolulu, Hi. (50%)

Also appeared in: Incompressible Computational Fluid Dynamics, M. Gunzburger and R. Nicolaides (Eds.), Cambridge University Press, 1993. (50%)

The Effect of Artificial Vorticity on the Discrete Solution of Euler Equations, M. Hafez and D. Brucker, AIAA Paper 91-1553, AIAA 10th Computational Fluid Dynamics Conference, June 24-27, 1991, Honolulu, Hi. (50%)

Also Accepted to Appear In: Computational Mechanics.

Finite Element Simulation of Compressible Flows With Shocks, G. Fernandez and M. Hafez, AIAA Paper 91-1551, AIAA 10th Computational Fluid Dynamics Conference, June 24-27, 1991, Honolulu, Hi. (50%)

Also appeared in: Computational Nonlinear Mechanics in Aerospace Engineering, Progress in Aeronautics and Astronautics, Vol. 146, 1992. (50%)

Numerical Solution of the Incompressible Navier Stokes Equations in Velocity-Vorticity Variables on Unstaggered Grids, J. Dacles and M. M. Hafez, Presented in Institute of Mathematics and Its Application Conference on Numerical Methods for Fluid Dynamics, Reading, England. (50%)

Finite Element Solution of Incompressible Navier-Stokes Equations Using Simple Linear Elements, G. Fernandez and M. Hafez, AIAA Paper 91-0121, 29th Aerospace Sciences Meeting, January 7-10, 1991, Reno, Nv. (50%)

Finite Element Solution of Compressible Navier Stokes Equations, G. Fernandez and M. M. Hafez, In: Advances in Fluid Dynamics, Published By Asme. (50%)

Finite Element Method in the Solution of the Euler and Navier Stokes Equations for Internal Flow, W. G. Habashi, G. Baruzzi, M. F. Peeters, and M. M. Hafez, Numerical Methods for Pde, 7:193-207. (25%)

Transonic Viscous-Inviscid Interaction By a Finite Element Method, M. M. Hafez, W. G. Habashi, and S. M. Przybytkowski, International Journal for Numerical Methods in Fluids, 13:309-319. (33%)

Finite Element Simulation of Compressible Viscous Flows Over Lifting Airfoils, D. Kinney and M. Hafez, AIAA Paper 92-0669, 30th Aerospace Sciences Meeting, Reno, Nv, January. (50%)

Cfd, An Academic Perspective, J. Steger and M. M. Hafez, Aerospace America, 30(1):38-42. (40%)

A Unified Approach for Numerical Simulation of Viscous Compressible and Incompressible Flows Over Adiabatic and Isothermal Walls, M. M. Hafez, M. Soliman, and S. White, 5th Symposium on Numerical and Physical Aspects of Aerodynamic Flows, Long Beach, Ca, January. (50%)

Also Accepted to Appear In: International Journal for Numerical Methods in Fluids.

Finite Element Simulation of Transonic Flows With Shock Waves, M. M. Hafez and D. Kinney, Proceedings of the 13th International Conference on Numerical Methods in Fluid Dynamics, Rome, Italy, July. (50%)

Numerical Simulation of Unsteady Incompressible Viscous Axisymmetric Internal Flow With Swirl, M. M. Hafez and E. Shabana, Proceedings of the 1st European Computational Fluid Dynamics Conference, Brussels, Belgium, September. (50%)

Also Accepted to Appear In: Computational Fluid Dynamics Journal.

A Numerical Scheme for Integration of Maxwell's Equations, M. M. Hafez and P. English, Proceedings of the 1st European Conference on Numerical Methods in Engineering, Brussels, Belgium, September. (50%)

An Improved Finite Element Method for the Solution of the Compressible Euler and Navier Stokes Equations, G. S. Baruzzi, W. G. Habashi, and M. M. Hafez, Proceedings of the 1st European Computational Fluid Dynamics Conference, Brussels, Belgium, September. (33%)

A Second Order Method for the Finite Element Solution of the Euler and Navier Stokes Equations, G. S. Baruzzi, W. G. Habashi, and M. M. Hafez, Proceedings of the 13th International Conference on Numerical Methods in Fluid Dynamics, Rome Italy, July. (33%)

A Time Domain Method for Electromagnetic Wave Propagation and Scattering, P. English, and M. Hafez, Ieee Antennas and Propagation Society International Symposium, Chicago, Il, July. (50%)

Numerical Simulation of Supersonic Flow Around a Thin Body in a Dispersive Medium, R. Winterstein, M. M. Hafez, and J. Brewer, AIAA Paper 93-0773, 31st Aerospace Sciences Meeting, Reno, Nv, January. (50%)

Application of Explicit Finite Elements to Maxwell's Equations, M. M. Hafez and P. English, Proceedings of the 9th Annual Review of Progress in Applied Computational Electromagnetics, Monterey, Ca, March. (50%)

Time Domain Calculations of Electromagnetic Wave Propagation and Scattering Using Finite Volumes and Triangular Meshes, P. English and M. M. Hafez, Ieee Antennas and Propagation Society International Symposium, Ann Arbor, Mi, June. (50%)

Euler Solution for Blunt Bodies Using Triangular Meshes: Artificial Viscosity Forms and Numerical Boundary Conditions, R. Winterstein and M. M. Hafez, Proceedings of the 11th AIAA Computational Fluid Dynamics Conference, Orlando, Fl, July. (50%)

Also Accepted to Appear In: Computational Mechanics.

Visualization of Internal Swirling Flows, R. Potter, V. Watson, and M. M. Hafez, Proceedings of the 11th AIAA Computational Fluid Dynamics Conference, Orlando, Fl, July. (20%)

A Semi-Implicit Finite Volume Scheme for Solution of Euler Equations on 3-D Prismatic Grids, S. A. Pandya and M. M. Hafez, AIAA Paper 93-3431, AIAA Applied Aerodynamics Conference, Monterey, Ca, August. (50%)

A Solution Adaptive Relaxation Algorithm for Structured Grids, D. Banks and M. M. Hafez, Proceedings of the 5th International Symposium on Cfd, Sendai, Japan, August. (50%)

Finite Element/Finite Volume Simulations of Viscous Flows Based on Zonal Navier Stokes Formulations - Part I. Incompressible Flows, C. Tang and M. M. Hafez, Presented At the Winter Annual Meeting of the Asme, New Orleans, La, November 1993. (50%)

Also Accepted to Appear In: Computers and Fluids.

Simulation of Compressible Inviscid Flows Over Stationary and Rotating Cylinders, M. M. Hafez and A. Dimanlig, Acta Mechanica, 4:241-249. (50%)

Finite Element/Finite Volume Simulations of Viscous Flows Based on a Zonal Formulation: Part II, C. Y. Tang and Mohamed M. Hafez, Presented At the 32nd Aerospace Sciences Meeting & Exhibit of AIAA, Reno, Nevada, January, AIAA 94-0815. (50%)

A Zonal Procedure for Predicting the Hovering Performance of a Helicopter, Marvin A. Moulton, M. Hafez, and F. Caradonna, Proceedings of Boundary Layer and Shear Flows, Asme Fed-Vol. 184. (30%)

A Review of Jameson's Contributions to Computational Fluid Dynamics, David A. Caughey and Mohamed M. Hafez, Proceedings of Conference on Computing the Future (Held in Honor of Jameson's 60th Birthday), Ithaca, Ny, November. (90%)

The Cfd Problem of Sonic Boom Propagation in a Stratified Atmosphere, H. 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%)

Applications of Generalized Coordinates Boundary-Layer Code to Fortified Navier-Stokes Equations, T. H. Olsen and M. M. Hafez, Presented At the 13th AIAA Applied Aerodynamic Conference, San Diego, Ca, June. (50%)

Validation of a New Unstructured Full Potential Formulation, D. J. Kinney, M. M. Hafez, and P. A. Gelhausen, Presented At the 13th AIAA Applied Aerodynamic Conference, San Diego, Ca, June. (40%)

Shock Fitting for Sonic Boom Calculations, W. H. Guo and M. M. Hafez, Proceedings of Computational Mechanics '95, Hawaii, August. (50%)

Numerical Simulation of Heat Transfer in a Divertor With Non-Linear Inner Wall Boundary Conditions, Y. Lee, M. Hafez, and M. Hoffman, Proceedings of the 6th International Symposium on Cfd, Lake Tahoe, Nevada, September. (30%)

Finite Element/Finite Volume Solutions of Full Potential, Euler and Navier-Stokes Equations for Compressible and Incompressible Flows, M. Hafez, International Journal for Numerical Methods in Fluids, 20:713-741. (100%)

A Second Order Finite Element Method for the Solution of the Transonic Euler and Navier-Stokes Equations, G. S. Baruzzi, W. G. Habashi, J. G. Guevremont, and M. M. Hafez, International Journal for Numerical Methods in Fluids, 20:671-693. (30%)

Finite Element Computations of Transonic Potential Flow, D. J. Kinney and M. M. Hafez, Proceedings of the 9th International Conference on Finite Elements in Fluids, Venice, Italy, October. (40%)

Simulation of Steady Compressible Flows Based on Cauchy/Riemann Equations and Crocco's Relations, M. M. Hafez and W. H. Guo, Proceedings of the 9th International Conference on Finite Elements in Fluids, Venice, Italy, October. (50%)

The Development of a Hybrid Cfd Method for the Prediction of Hover Performance, Marvin A. Moulton, K. Ramachandran, Mohamed Hafez, and Frances X. Caradonna, Presented At the 2nd International Aeromechanics Specialist's Conference, American Helicopter Society, Bridgeport, Ct, October. (15%)

Numerical Simulation of the Super Boom Problem, W. G. Guo and M. M. Hafez, In: Symposium on Recent Developments in Engineering Science, New Orleans, La, November. (50%)

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