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High Performance Computing and Grid in Asia Pacific Region, International Conference on (2005)
Beijing, China
Nov. 30, 2005 to Dec. 3, 2005
ISBN: 0-7695-2486-9
pp: 153-160
Marvin D. Watts , Marvin D. Watts
Shahrouz Aliabadi , Shahrouz Aliabadi
Shuangzhang Tu , Shuangzhang Tu
ABSTRACT
This paper reports the performance of our parallel implicit finite volume solver for compressible flows. The Jacobian-free Generalized Minimal Residual method (GMRES) is used to solve the linear system resulting from the discretization. Furthermore, the matrix-free Lower-Upper Symmetric Gauss Seidel (LU-SGS) method is employed as a preconditioning technique to the GMRES solver. A new slope limiting procedure is designed to suppress the unphysical overshoots and undershoots of the numerical solution while not hampering the convergence of the steady-state simulation. The solver is also parallelized using mesh partitioning and Message Passing Interface (MPI) functions. The Cray X1 is used to measure the performance of the flow solver. A few 2D and 3D numerical examples are presented to demonstrate the performance of the present solver.
INDEX TERMS
Finite Volume Method, Generalized Minimal Residual Method, Lower-Upper Symmetric Gauss Seidel Preconditioning, Message Passing Interface
CITATION
Marvin D. Watts, Shahrouz Aliabadi, Shuangzhang Tu, "High Performance Computing of Compressible Flows", High Performance Computing and Grid in Asia Pacific Region, International Conference on, vol. 00, no. , pp. 153-160, 2005, doi:10.1109/HPCASIA.2005.46
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