Title :
High performance computing of compressible flows
Author :
Aliabadi, Shahrouz ; Tu, Shuangzhang ; Watts, Marvin D.
Author_Institution :
Northrop Grumman Center for High Performance Comput. of Ship Syst. Eng., Jackson State Univ., MS
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 XI 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
Keywords :
Mach number; Navier-Stokes equations; application program interfaces; compressible flow; computational fluid dynamics; distributed memory systems; finite volume methods; iterative methods; mesh generation; message passing; parallel algorithms; supersonic flow; Cray X1; compressible flows; generalized minimal residual method; high performance computing; implicit finite volume solver; lower-upper symmetric Gauss-Seidel preconditioning; mesh partitioning; message passing interface; numerical solution; parallel algorithm; slope limiting procedure; steady-state simulation; Computational fluid dynamics; Gaussian processes; High performance computing; Iterative methods; Jacobian matrices; Linear systems; Marine vehicles; Message passing; Robustness; Systems engineering and theory; Finite Volume Method; Generalized Minimal Residual Method; Lower-Upper Symmetric Gauss Seidel Preconditioning; Message Passing Interface;
Conference_Titel :
High-Performance Computing in Asia-Pacific Region, 2005. Proceedings. Eighth International Conference on
Conference_Location :
Beijing
Print_ISBN :
0-7695-2486-9
DOI :
10.1109/HPCASIA.2005.46