Wave computation in compressible flow using space-time conservation element and solution element method

The recently developed space-time conservation element solution element method has several attractive features for aeroacoustic computations. The scheme is robust, possesses almost no dispersion error, and the implementation of nonreflecting boundary conditions is simple and effective. The scheme is tested for several problems ranging from linear acoustic waves to strongly nonlinear phenomena, with special emphasis on mixing-layer instability, and good numerical results are achieved.

[1]  Chi-Wang Shu,et al.  Efficient Implementation of Weighted ENO Schemes , 1995 .

[2]  C. Tam,et al.  Dispersion-relation-preserving finite difference schemes for computational acoustics , 1993 .

[3]  J. Scott,et al.  Computational aeroacoustics via the space-time conservation element/solution element method , 1996 .

[4]  D. Bershader,et al.  Physical analysis of the two-dimensional compressible vortex-shock interaction , 1996 .

[5]  P. Moin,et al.  Sound generation in a mixing layer , 1997, Journal of Fluid Mechanics.

[6]  Elaine S. Oran,et al.  The interaction of a shock with a vortex: Shock distortion and the production of acoustic waves , 1995 .

[7]  Sin-Chung Chang,et al.  THE METHOD OF SPACE-TIME CONSERVATION ELEMENT AND SOLUTION ELEMENT — A NEW PARADIGM FOR NUMERICAL SOLUTION OF CONSERVATION LAWS , 1998 .

[8]  Kristine R. Meadows,et al.  Computational Study on the Interaction Between a Vortex and a Shock Wave , 1991 .

[9]  Sin-Chung Chang The Method of Space-Time Conservation Element and Solution Element-A New Approach for Solving the Navier-Stokes and Euler Equations , 1995 .

[10]  A. Majda,et al.  Absorbing boundary conditions for the numerical simulation of waves , 1977 .

[11]  Sin-Chung Chang,et al.  Regular Article: The Space-Time Conservation Element and Solution Element Method: A New High-Resolution and Genuinely Multidimensional Paradigm for Solving Conservation Laws , 1999 .

[12]  C. Loh,et al.  The space-time conservation element method - A new numerical scheme for computational aeroacoustics , 1996 .

[13]  Sin-Chung Chang,et al.  A space-time conservation element and solution element method for solving the two- and three-dimensional unsteady euler equations using quadrilateral and hexahedral meshes , 2002 .

[14]  Nan-Suey Liu,et al.  Direct calculations of waves in fluid flows using high-order compact difference scheme , 1993 .

[15]  Philip C. E. Jorgenson,et al.  Vortex dynamics simulation in aeroacoustics by the space-time conservation element and solution element method , 1999 .

[16]  K. Thompson Time-dependent boundary conditions for hyperbolic systems, II , 1990 .

[17]  F. Hu On Absorbing Boundary Conditions for Linearized Euler Equations by a Perfectly Matched Layer , 1995 .