JOURNAL PAPERS

*1. Hui, W.H., "Stability of oscillating wedges and caret wings in hypersonic and supersonic flows", AIAA Journal, 7, 1524-1530, 1969.  (This paper was singled out by the Journal editor for its excellence; see Astronautics and Aeronautics, Vol. 8, page 23, January 1970.)
2. Hui, W.H., "Interaction of a strong shock with Mach waves in unsteady flow", AIAA Journal, 7, 1605-1607, 1969.
3. Hui, W.H., "Large amplitude slow oscillation of wedges in inviscid hypersonic and supersonic flows", AIAA Journal, 8, 1530-1532, 1970.
4. Hui, W.H., "A Solution for hypersonic flow past slender bodies", Journal of Fluid Mechanics, 48, 23-31, 1971.
5. Hui, W.H., "Supersonic and hypersonic flow with attached shock waves over delta wings", Proceedings of the Royal Society of London, A325, 251-267, 1971.
6. Hui, W.H., "Stability derivatives of sharp wedges in viscous hypersonic flow", The Aeronautical Quarterly, 22, 127-145, 1972.
7. Hui, W.H., "Stability derivatives of sharp wedges in viscous hypersonic flow", The Aeronautical Quarterly, 22, 127-145, 1972.
8.

Hui, W.H., "Effects of upstream unsteadiness on hypersonic flow past a wedge", The Physics of Fluids, 15, 1747-1750, 1972.
9. Hui, W.H., "The caret wing at certain off-design conditions", The Aeronautical Quarterly, 23, 263-275, 1972.
10. Hui, W.H., "On Axisymmetric and two-dimensional flow with attached shock waves", The Astronautica Acta, 18, 35-44, 1973.
11. Hui, W.H., "Effects of yaw on supersonic and hypersonic flow over delta wings", Aeronautical Journal of the Royal Aeronautical Society, 77, 299-301, 1973.
12. Hui, W.H., "Methods for calculating nonlinear flow with attached shock waves over conical wings", AIAA Journal, 11, 1443-1445, 1973.
13. Hui, W.H., and Hamilton, J., "Higher order solutions for unsteady hypersonic and supersonic flows", Aeronautical Quarterly, 25, 59-68, 1974.
14.
¡@		 Hui, W.H., and Hemdan, H. T., "Higher order similarity solutions for hypersonic flow", in Symmetry, Similarity and Group-Theoretic Methods in Mechanics,  (Ed.) P.G. Glockner and M.C. Singh, pp. 403-417, 1974.
15. Hui, W.H., "Simple formulae for supersonic flow past a cone", The Aeronautical Quarterly, 26, 11-19, 1975.
16. Mahood, G.E. and Hui, W.H., "Remarks on Unsteady Newtonian Flow Theory", The Aeronautical Quarterly, 27, 66-74, 1976
17. Hui, W.H., and Mahood, G.E., "Modified thin shock layer method for supersonic flow past an cone", Journal of Spacecraft and Rockets, 13, 481-487, 1976.
18. D.D. Liu, and Hui, W.H., "Oscillating delta wings with attached shock waves", AIAA Journal, 15, 804-812, 1977.
19.
¡@		 Hemdan, H. T., and Hui, W.H., "Unsteady and steady aerodynamic forces of slender delta wings according to thin shock layer theory", Canadian Aeronautics and Space Journal.  (Transaction), 23, 238-251, 1977.
20. Tenti, G., and Hui, W.H., "Some classes of exact solutions of the nonlinear Boltzmann equation", Journal of Mathematical Physics, 19, 774-779, 1977.
21.
¡@		 .Hui, W.H., "An analytical theory of supersonic/hypersonic pitching stability", NATO AGARD Symposium on Dynamic Stability Parameters, CP-235, paper no. 22, 1978.
22.
¡@		 Hui, W.H., "Supersonic/hypersonic flow past an oscillating flat plate at large angles of attack", Journal of Applied Mathematics and Physics (ZAMP), 29, 414-427, 1978.
*23.
¡@		 Hui, W.H., and Hamilton, J., "Exact solutions of a three-dimensional nonlinear Schrodinger equation applied to gravity waves", Journal of Fluid Mechanics, 93, 117-133, 1979.
*24.
¡@		 Dungey, J.C., and Hui, W.H., "Nonlinear transfer of energy in a narrow gravity-wave spectrum", Proceedings of the Royal Society of London, A368, 239-265, 1979.
25.
¡@		 Hamilton, J., and Hui, W.H., "A statistical model for groupiness in wind waves", Journal of Geophysical Research, Oceans and Atmospheres, 84, (C8), 4875-4884, 1979.
26. Hui, W.H., "Exact envelope-solution solutions of a two-dimensional wave equation", Journal of Applied Mathematics and Physics (ZAMP), 30, 929-936, 1979.
27.
¡@		 Hui, W.H., "Three-dimensional nonlinear evolution of water waves", in Nonlinear partial differential equations in Engineering and Applied Sciences, (ed.) R.L. Sternberg, Marcel Dekker Inc. NY, pp. 167-187, 1980.
*28.
¡@		 Hui, W.H., and Tobak, M., "Unsteady Newton-Busemann flow theory, Part I: Aerofoils", AIAA Journal, 19, 311-318, 1980.  (See also Applied Mechanics     Reviews, Vol. 35, p. 1787, Letters to Editors.  AMR 35 (1982) 12103).
29.
¡@		 Hui, W.H., and Tobak, M., "Unsteady Newton-Busemann flow theory, Part II:  Bodies of revolution", AIAA Journal, 19, 1272-73, 1981. (Synoptic; the full paper is available from National Technical Information Service, Springfiled, VA. 22151, or NASA TM-80459).
30. Hui, W.H., Platzer, M.G., and Youroukos, E., "Stability of oscillating supersonic/hypersonic wings at arbitrary angles of attack", AIAA Journal, 20, 299-304, 1982.
31. Riley, D.S., Donelan, M.A., and Hui, W.H., "An extended Miles' theory for wave generation by wind", Boundary Layer Meteorology, 22, 209-225, 1982.
32. Hui, W.H., and Tenti, G., "A new approach to steady flows with free surfaces", Journal of Applied Mathematics and Physics (ZAMP), 33, 569-589, 1982.
33. Hui, W.H., "Unsteady Newton-Busemann flow theory, Part III: Frequency dependence and indicial response", the Aeronautical Quarterly, 33, 311-328, 1982.
34. Hui, W.H., "Unified unsteady supersonic/hypersonic theory of flow past double wedge aerofoils", Journal of Applied Mathematics and Physics (ZAMP), 34, 458-488, 1983.
*35.
¡@		 Hui, W.H., and Tobak, M., "Bifurcation analysis of aircraft pitching motions about large mean angles of attack", Journal of Guidance, Control and Dynamics, 7, 113-122, 1984.
36.
¡@		 Hui, W.H., and Van Roessel, H.J., "Unsteady Newton-Busemann flow theory, Part IV:  Three-dimensional", AIAA Journal, 22, 577-578, 1984.  (Synoptic; the full paper is available from National Technical Information Service, Springfiled, VA, 22151, U.S.A.)
37. Al-Zanaidi, M.A., and Hui, W.H., "Turbulent air flow over water waves -- a numerical study", Journal of Fluid Mechanics, 148, 225-246, 1984.
38.
¡@		 Hui, W.H., and Van Roessel, H.J., "Limiting gasdynamic theory and its applications", in Wave phenomena: modern theory and applications, (Ed,) C. Rogers and T.B. Moodie, Elsevier Science Publishers, pp. 319-328, 1984.
39. Hui, W.H., and Tenti, G., "Nonlinear water wave theory via pressure formulation", in The Ocean Surface:  Wave Breaking, Turbulent Mixing, and Radio Probing of the Ocean Surface, (Ed.) Y. Toba and H. Mitsuyasu, Reidel Publishing, 1985, pp. 17-24, 1985.
40. Hui, W.H., and Tenti, G., "Symbolic computation of the Stokes water wave", in Applications of Computer Algebra, (Ed.) R. Pavelle, Kluwer Academic Publishers, 1985, pp. 329-337, 1985.
*41.

Donelan, M. A., Hamilton, J., and Hui, W.H., "Directional spectra of wind-generated waves". Philosophical Transactions of the Royal Society, A315, 509-562, 1985.
42.
¡@		 Hui, W.H., and Van Roessel, H.J., "Transient motion of a hypersonic wedge, including time history effects", Journal of Guidance, Control and Dynamics, 9, 205-212, 1986.
43. Tong, B.G., and Hui, W.H., "Unsteady Embedded Newton-Busemann Flow Theory", Journal of Spacecraft and Rockets, 23, 129-135, see also "Reply by Authors to L.E. Ericsson", 24, 96, 1987.
44.
¡@		 Lamb, K.G., Tenti, G, and Hui, W.H., "General theory of the wavemaker:  I. Theoretical results", Journal of Applied Mathematics and Physics (ZAMP), 38, 391- 408, 1987.
45.
¡@		 Li, J.C., Hui, W.H., and Donelan, M.A., "Effects of velocity shear on the stability of surface water wave trains", IUTAM Symposium on Nonlinear Water Waves, (Ed.) Horikawa, K. and Maruo, H., pp. 213-218, 1987.
46. Hui, W.H., "Exact solutions of the unsteady two-dimensional Navier-Stokes equation", Journal of Applied Mathematics and Physics (ZAMP), 38, 689-702, 1987.
47.
¡@		 Hui, W.H., and Tobak, M., "Topology of Three-Dimensional Unsteady Separated Flows", US Air Force AFOSR Workshop on Unsteady Separated Flows, Frank J. Seiler Research laboratory Report FJSRL-TR-88-0004, US Air Force Systems Command, pp. 255-262, 1987.
48.
¡@		 Hui, W.H., and Tobak, M., "Topology of steady and unsteady three-dimensional incompressible separated flows", (Invited paper) in Continuum Mechanics and Its Applications, (Ed.) Graham, G.A.C. and Malik, S.K., pp. 519-542, 1988.
49.
¡@		 Ma, P.K.H., and Hui, W.H., "Similarity solutions of the unsteady boundary layer equations", in Continuum Mechanics and Its Applications, (Ed.) Graham, G.A.C. and Malik, S.K., pp. 557-567, 1988.
50.
¡@		 Drennan, W.M., and Hui, W.H., "Accurate calculations of Stokes water waves," in Continuum Mechanics and Its Applications, (Ed.) Graham, G.A.C. and Malik, S.K., pp. 463-473, 1988.
51.
¡@		 Van Roessel, H.J., and Hui, W.H., "A Lagrangian formulation for steady three-dimensional Newton-Busemann flow", Journal of Applied Mathematics and Physics (ZAMP), 40, 677-710, 1989.
52.
¡@		 Loh, C.Y., and Hui, W.H., "A new Lagrangian method for steady supersonic flow computation Part I: Godunov scheme", Journal of Computational Physics, 89, 207-240, 1990.
*53.

Ma, P.K.H., and Hui, W.H., "Similarity solutions of the two-dimensional unsteady boundary layer equations", Journal of Fluid Mechanics, 216, 537-559, 1990.
54.
¡@		 Donelan, M.A., and Hui, W.H., "Mechanics of Ocean Surface Waves", Chapter 7 of monograph titled Surface Waves and Fluxes:  Current Theory and Remote Sensing, (Ed.) Geernuert, G.L. and Plant, W.J., Reidel Publishing Co. 209-246, 1990.
55.
¡@		 Van Roessel, H.J., and Hui, W.H., "Unsteady three-dimensional Newton-Busemann flow using material functions", International Journal of Non-linearMechanics, 26, 73-87, 1991.
*56.
¡@		 Hui, W.H., and Loh, C.Y., "A new Lagrangian method for steady supersonic flow computation, Part II: slip-line resolution", Journal of Computational Physics, 103, 450-464, 1992.
57.
¡@		 Hui, W.H., and Loh, C.Y., "A new Lagrangian method for steady supersonic flow computation, Part III:  strong shocks", Journal of Computational Physics, 103, 465-471, 1992.
58.
¡@		 Drennan, W.M., Hui, W.H., and Tenti, G., "Accurate calculations of Stokes water waves of large amplitude", Journal of Applied Mathematics and Physics (ZAMP) 43, 367-384, 1992.
59.

Pierson, W. J., Donelan, M. A., and Hui, W.H., ¡§Linear and nonlinear propagation of water wave group", Journal of Geophysical Research, 97, C4, 5607-5621, 1992.
60.
¡@		 Lepage C. Y., and Hui, W.H., "Discontinuity-Adaptive Godunov Scheme" (invited paper), Computations of Differential Equations and Dynamical Systems, (Eds) K. Feng and Z.C. Shi, pp. 119-124, World Scientific, 1992.
61.
¡@		 Drennan, W. M., Hui, W.H., and Tenti, G., "Do Stokes' double series converge for large amplitude waves?", in 'Breaking waves', (Eds. M.L. Banner and R.H.J. Grimshaw), Springer, Berlin, pp. 187-192, 1992.
62.
¡@		 Hui, W.H., "A generalized Lagrangian method for computational gasdynamics", in Some New Trends on Fluid Mechanics and Theoretical Physics,(Ed.) C. C. Lin, Beijing University Press, 1993, pp. 257-265.
63.
¡@		 Hui, W.H., and Zhao, Y. C., "A generalized Lagrangian method for solving the Euler equations",in Nonlinear Hyperbolic Problems: Theoretical, Applied, and Computational Aspects" (Eds.) A Donato and F. Oliveri. Vieweg 1993, pp. 336-345.
64.
¡@		 Yang, J.Y., Chang, S. H., and Hui, W.H., "A new Lagrangian method for steady supercritical shallow water flow computation", Computational Methods in Applied Mechanics and Engineering, 104, 333-355, 1993.
65.

Yang, J.Y., Hsu, C. A., and Hui, W.H., "Solution of steady Euler equations in generalized Lagrangian formulation", AIAA Journal, 31, 266-272, 1993.
66.
¡@		 Loh, C.Y., and Hui, W.H., "A new Lagrangian random choice method for steady two-dimensional, supersonic/hypersonic flow", AIAA Journal, 31, 2193-2194, 1993.
67.
¡@		 Yang, J.Y., Hsu, C. A., and Hui, W.H., "A generalized Lagrangian method for solving the steady shallow water equations", Mathematics and Computers in Simulation 35, 43-61, 1993.
68.
¡@		 Lepage, C.Y., and Hui, W.H., "A shock-adaptive Godunov scheme based on the generalized Lagrangian Formulation", Proceedings of the 5th International Symposium of Computational Fluid Dynamics, (Editor: Daiguji, H) Volume II, pp. 126-131, 1993.
69. Loh, C.Y., and Hui, W.H., "A new Lagrangian random choice method for solving the steady Euler equations¡¨ Computational Fluid Dynamics Journal, 2, 247-268, 1993.
70. Hui, W.H., and Zhao, Y. C., "Flux vector splitting based on the generalized Lagrangian Formulation", Computational Fluid Dynamics Journal, 2, 435-450, 1994.
71.
¡@		 Hui, W.H., "The generalized Lagrangian formulation of computational fluid dynamics", Computational Fluid Dynamics Review 1995.  (Eds: M. Hafez and K. Oshima). John Wiley. 382-398, 1995.
72.
¡@		 Lepage, C.Y., and Hui, W.H., "A shock-adaptive Godunov scheme based on the generalized Lagrangian formulation", Journal of Computational Physics. 122, 291-299, 1995.
73. Hui, W.H., and Chu, D.L., "Optimum grid for the steady Euler equations", Computational Fluid Dynamics Journal, 4, 403-426, 1996.
74.
¡@		 Hui, W.H., "Optimal Grid of the 2-D and 3-D Steady Supersonic Euler Equations" in "Numerical Grid Generation Computational Field Simulations". (Eds. Soni, B.K., Thompson, J.F., Hauser, J., Eiseman, P.R.), pp. 621-627, 1996.
75.
¡@		 Hui, W.H., and He, Y., "Hyperbolicity and optimal coordinates of the three-dimensional steady Euler equations", SIAM Journal on Applied Mathematics,         57, 893-928, 1997.
76.
¡@		 Loh, C.Y., and Hui, W.H., "A new Lagrangian method for time dependent inviscid flow computation", AIAA paper 97-1974, Proceedings of the 13th AIAA Computational Fluid Dynamics Conference, pp 722-732, 1997.
*77.
¡@		 Hui, W.H., Li, P.Y., and Li, Z.W., ¡§A unified coordinate system for solving the two-dimensional Euler equations¡¨, Journal of Computational Physics, 153, 596-637, 1999.
78.
¡@		 Loh, C.Y., M. S. Liou, and Hui, W.H., "An investigation of random choice method for 3-D steady supersonic flow", International Journal for Numerical Methods in Fluids.  29,  97-119, 1999.
79.
¡@		 Wu, J.K., Hui, W.H., and Ding, H. L., ¡§Arc-length method for differential equation¡¨, Journal of Applied Mathematics and Mechanics, (English Edition) 20, 936-942, 1999.
80.
¡@		 Hui, W.H., and Koudriakov, S., ¡§The role of coordinates in the computation of discontinuities in one-dimensional flow¡¨, Computational Fluid Dynamics Journal, 8, 495-510, 2000.
81. Loh, C.Y., and Hui, W.H., ¡§A new Lagrangian method for time-dependent inviscid flow computation¡¨, SIAM Journal on Scientific Computing, 22 330-350, 2001.
82.
¡@		 Hui, W.H., and Kudriakov, S., ¡§A unified coordinate system for solving the three-dimensional Euler equations¡¨, Journal of Computational Physics, 172, 235-260, 2001.
83.
¡@		 Hui, W.H., and Kudriakov, S., ¡§On contact overheating and other computational difficulties of shock-capturing methods¡¨, Computational Fluid Dynamics, 10, 192-209, 2001.
84. Hui, W.H., and Kudriakov, S., ¡§Computation of shallow water waves using the unified coordinates¡¨, SIAM Journal on Scientific Computing, 23, 1615-1654, 2002.
85. Rogers, C., Schief, W.K., and Hui, W.H., ¡§On complex-lamellar motion of a Prim Gas¡¨, Journal of Mathematical Analysis and Applications, 266, 55-69, 2002.
86. Hui, W.H., ¡§A unified coordinates approach to computing multi-dimensional flow¡¨, Computational Fluid Dynamics Journal, 10, 607-615, 2002.
87.
¡@		 Hu, Wenrui, and Hui, W.H., ¡§Rheological effect on thermocapillary flow of a liquid film jet painted on a moving boundary¡¨, Science in China (Series A), 45, 1171-1182, 2002
88. Hui, W.H. and Pan, Cun Hong, ¡§Water level-bottom topography formulation for the shallow-water flow¡¨, Computational Fluid Dynamics Journal, 10, 549-554, 2003.
89. Hui, W.H., ¡§A unified coordinates approach to computational fluid dynamics¡¨, Journal of computational and applied mathematics, 163, 15-28, 2004.
90.
¡@		 Hui, W.H. and Hu, J.J., ¡§Space-Marching Gridless Computation of Steady Supersonic/Hypersonic Flow¡¦, International Journal of Computational Fluid Dynamics, 20, 55-59, 2006.
91.
¡@		 Hui, W.H., Wu, Z.N. and B. Gao, ¡§Preliminary Extension of the Unified Coordinate Approach to Computation of Viscous Flows¡¨, Journal of Scientific Computing, 30, no. 2, Feb 2007.
*92.
¡@		 Hui, W.H., ¡§The unified coordinate system in computational fluid dynamics¡¨, Review Article,  Communications in Computational Physics, 2, 577-610, Aug. 2007.
93.
¡@		 Hui, W.H., Hu, J.J. and Shyue, K.M., ¡§Role of Coordinates in Computational Fluid Dynamics¡¨, International Journal of Computational Fluid Dynamics, Feb. 2008.
94. Kudriakov, S. and Hui, W.H., ¡§On a new defect of shock-capturing methods¡¨, Journal of Computational Physics, 227, 2105-2117, 2008.

* 10 Representative papers