Algorithm 758: VLUGR2: A vectorizable adaptive-grid solver for PDEs in 2D

被引:41
作者
Blom, JG [1 ]
Trompert, RA [1 ]
Verwer, JG [1 ]
机构
[1] RUU,FAC EARTH SCI,NL-3508 TA UTRECHT,NETHERLANDS
来源
ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE | 1996年 / 22卷 / 03期
关键词
adaptive-grid methods; iterative solvers; method of lines; nonsymmetric sparse linear systems; partial differential equations; software; vectorization;
D O I
10.1145/232826.232850
中图分类号
TP31 [计算机软件];
学科分类号
081202 ; 0835 ;
摘要
This article deals with an adaptive-grid finite-difference solver for time-dependent two-dimensional systems of partial differential equations. It describes the ANSI Fortran 77 code, VLUGR2, autovectorizable on the Cray Y-MP, that is based on this method. The robustness and the efficiency of the solver, both for vector and scalar processors, are illustrated by the application of the code to two example problems arising from a groundwater-flow model.
引用
收藏
页码:302 / 328
页数:27
相关论文
共 17 条
[1]   VLUGR3 - A VECTORIZABLE ADAPTIVE-GRID SOLVER FOR PDES IN 3D, .1. ALGORITHMIC ASPECTS AND APPLICATIONS [J].
BLOM, JG ;
VERWER, JG .
APPLIED NUMERICAL MATHEMATICS, 1994, 16 (1-2) :129-156
[2]   VECTORIZING MATRIX OPERATIONS ARISING FROM PDE DISCRETIZATION ON 9-POINT STENCILS [J].
BLOM, JG ;
VERWER, JG .
JOURNAL OF SUPERCOMPUTING, 1994, 8 (01) :29-51
[3]  
BLOM JG, 1994, NMR9405 CWI
[4]  
BLOM JG, 1993, NMR9306 CWI
[5]  
BOONKKAMP JHM, 1988, THESIS U AMSTERDAM N
[6]  
*CARY, 1991, UNICOS PERF UT REF M
[7]  
DESTURLER E, 1993, NASA C PUBLICATION, V3324, P111
[8]  
HASSANIZADEH SM, 1990, 725206003 NAT I PUBL
[9]   COMPUTING BRINE TRANSPORT IN POROUS-MEDIA WITH AN ADAPTIVE-GRID METHOD [J].
TROMPERT, RA ;
VERWER, JG ;
BLOM, JG .
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, 1993, 16 (01) :43-63
[10]   ANALYSIS OF THE IMPLICIT EULER LOCAL UNIFORM GRID REFINEMENT METHOD [J].
TROMPERT, RA ;
VERWER, JG .
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 1993, 14 (02) :259-278