High Performance Computation Of Compressible
Flows On The Cray X1
Author(s)
S. Tu, S. Aliabadi, A. Johnson & M. Watts
Abstract
This paper reports our development of a fully parallelized and vectorized finite volume
code for compressible flows on the Cray X1 parallel/vector/multi-streaming
architecture. Our code is based on the Jacobian-free GMRES iterative solver with
matrix-free Lower Upper-Symmetric Gauss-Seidel (LU-SGS) preconditioner. Two
main vectorization techniques, the face coloring algorithm and the truncated Neumann
expansions of the inverse of preconditioning matrices, are used to vectorize
the long face loops and the LU-SGS preconditioner, respectively. Several numerical
examples will be provided to demonstrate the performance of the new vectorized
code on the Cray X1 compared with the old nonvectorized code on the Cray
T3E-1200.
Keywords: compressible flows, finite volume method, GMRES, LU-SGS, preconditioning,
high performance computing, Cray X1, parallel, vectorization.
1 Introduction
Parallel computing usingmultiple processors simultaneouslymakes computational
scientists be able to solve larger problemswith less time. If the parallel computer is
also equippedwith multistreaming and vector processors, the process of simulating
and analyzing large problems will be further accelerated.
The Cray X1 is such a supercomputer built using a hybrid parallel, vector,
and multi-streaming design. The basic component of the Cray X1 is the Multi-
Streaming Processor (MSP), which is a multi-module chip composed of four
Single-Streaming Processor (SSP) modules and four cache modules. The MSP is
the user-addressable processing element, and the division of work (i.e. streaming)
of the four SSP modules is directed by the compiler (however, the user does have
Keywords
compressible flows, finite volume method, GMRES, LU-SGS, preconditioning,
high performance computing, Cray X1, parallel, vectorization.
Related Book
Other papers in this volume
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