The implicit lower-upper symmetric Gauss-Seidel (LU-SGS) method of Yoon and Jameson is modified for use on massively parallel computers. The method has been implemented on the Thinking Machines CM-5 and the MasPar MP-1 and MP-2, where large percentages of the theoretical peak floating point performance are obtained. It is shown that the new data-parallel LU relaxation method has better convergence properties than the original method for two different inviscid compressible flow simulations. The convergence is also improved for five-species reacting air computations. The performance of the method on various partitions of the CM-5 and on the MasPar computers is discussed. The new method shows promise for the efficient simulation of very large perfect gas and reacting flows.
Bibliographical noteFunding Information:
The first two authors were supported by the NASA Langley Re- search Center Contract NAG-1-1498. This work was supported in part by the Army Research Office Contract DAALO3-89-0038 with the University of Minnesota Army High Performance Computing Research Center (AHPCRC) and the Department of Defense Shared Resource Center at the AHPCRC. The time on the MasPar computers was granted by the MasPar Computer Corp.