Abstract
In this paper, a Petrov-Galerkin formulation for a viscous, compressible fluid using the meshless reproducing kernel particle method (RKPM) is first presented. The location of shocks is determined from the high-scale part of the solution using multiresolution analysis. A parallel computer implementation for distributed memory architectures is then proposed, including a discussion of handling boundary conditions in parallel. Preliminary results for 1-16 processors of an IBM SP computer are presented, and future directions for a massively parallel implementation are outlined.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 279-303 |
| Number of pages | 25 |
| Journal | Computer Methods in Applied Mechanics and Engineering |
| Volume | 190 |
| Issue number | 3-4 |
| DOIs | |
| State | Published - Oct 27 2000 |
Funding
This work was supported in part by NSF, AFOSR, DOE, and ONR. Further, this work was partially funded by Sandia National Laboratories. Sandia is a multiprogram laboratory operated by Sandia Corporation for the United States Department of Energy under contract DE-AC04-94AL85000. This paper was also sponsored in part by the Army High Performance Computing Research Center under the auspices of the Department of the Army, Army Research Laboratory, cooperative agreement number DAAH04-95-2-0003/contract number DAAH04-95-C-0008. Its content does not necessarily reflect the position or the policy of the government of the United States of America, and no official endorsement should be inferred. The authors gratefully acknowledge Lois Curfman McInnes of Argonne National Laboratory for advice regarding the parallel implementation and use of the PETSc software package. We also acknowledge use of the IBM SP computer in the Center for Computational Science and Technology at Argonne National Laboratory.
ASJC Scopus subject areas
- Computational Mechanics
- Mechanics of Materials
- Mechanical Engineering
- General Physics and Astronomy
- Computer Science Applications