Three-Dimensional Adaptive Mesh Refinement  (Bell et al.)

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SIAM Journal on Scientific Computing
Volume 15-1, January 1994, pp.  127-138
(C) 1994 by Society for Industrial and Applied Mathematics
All rights reserved


Title:            Three-Dimensional Adaptive Mesh Refinement for 
                  Hyperbolic Conservation Laws

Author:           John Bell, Marsha Berger, Jeff Saltzman, and 
                  Mike Welcome

AMS Subject
Classifications:  65M06, 65M50, 76N15

Key words:        adaptive methods, mesh refinement


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ABSTRACT

A local adaptive mesh refinement algorithm for solving
hyperbolic systems of conservation laws in three space dimensions 
is described. The method is based on the use of local grid patches 
superimposed on a coarse grid to achieve sufficient resolution in the 
solution. A numerical example computing the interaction of a shock 
with a dense cloud in a supersonic inviscid regime is presented.
Detailed timings are given to illustrate the performance of the
method in three dimensions.


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