Development of fundamental computational methods for high accuracy simulation of high speed flow and aerodynamic noise:
The key to successful high accuracy flow and acoustic simulation is to employ high order numerical methods. They are capable of maintaining low numerical dispersion and dissipation errors without using excessive number of grid points. This drastic departure from traditional CFD methods brings exciting new opportunities as well as difficult challenges. Main investigation topics include high order finite difference methods, dispersion relation preserving method, nonreflecting numerical boundary conditions, spectral element method based on orthogonal polynomials, shock capture schemes for high order methods.

References:
H. Shen and C.K.W. Tam, "ThreeDimensional Numerical Simulation of the Jet Screech Phenomenon", AIAA Journal, v40, n1,pp.3341, January 2002.
H. Shen and C.K.W. Tam, "The Effects of Jet Temperature and Nozzle Lip Thickness on Screech Tones", AIAA Journal, v38, n5, pp.762767, February 2000.
H. Shen and C.K.W. Tam, "Numerical Simulation of the Generation of Axisymmetric Mode Jet Screech Tones", AIAA Journal, v36, n10, pp.18011807, October 1998.
H. Shen and C.K.W. Tam, "Numerical Simulation of the Jet Screech Phenomenon by Computational Aeroacoustics Method", Advances in DNS/LES, ed. by C. Liu and Z. Liu, pp. 581588, 1997.
H. Shen, C.K.W. Tam and G. Raman, "Screech Tones of Supersonic Jets from Bevelled Rectangular Nozzles", AIAA Journal, v35, n7, pp.11191125, July 1997.
H. Shen and C.K.W. Tam, "Direct Computation of Nonlinear Acoustic Pulses Using High Order Finite Difference Schemes", AIAA Paper 934325, October 1993.
