# Software for the parallel adaptive solution of conservation laws by discontinous Galerkin methods.

## Abstract

The authors develop software tools for the solution of conservation laws using parallel adaptive discontinuous Galerkin methods. In particular, the Rensselaer Partition Model (RPM) provides parallel mesh structures within an adaptive framework to solve the Euler equations of compressible flow by a discontinuous Galerkin method (LOCO). Results are presented for a Rayleigh-Taylor flow instability for computations performed on 128 processors of an IBM SP computer. In addition to managing the distributed data and maintaining a load balance, RPM provides information about the parallel environment that can be used to tailor partitions to a specific computational environment.

- Authors:

- Publication Date:

- Research Org.:
- Argonne National Lab., IL (US)

- Sponsoring Org.:
- US Department of Energy (US)

- OSTI Identifier:
- 11936

- Report Number(s):
- ANL/MCS/CP-99808

TRN: AH200119%%131

- DOE Contract Number:
- W-31109-ENG-38

- Resource Type:
- Conference

- Resource Relation:
- Conference: International Symposium on Discontinuous Galerkin Methods, Newport, RI (US), 05/24/1999--05/26/1999; Other Information: PBD: 17 Aug 1999

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE; COMPRESSIBLE FLOW; CONSERVATION LAWS; R CODES; PARALLEL PROCESSING; GALERKIN-PETROV METHOD; RAYLEIGH-TAYLOR INSTABILITY

### Citation Formats

```
Flaherty, J. E., Loy, R. M., Shephard, M. S., and Teresco, J. D.
```*Software for the parallel adaptive solution of conservation laws by discontinous Galerkin methods.*. United States: N. p., 1999.
Web.

```
Flaherty, J. E., Loy, R. M., Shephard, M. S., & Teresco, J. D.
```*Software for the parallel adaptive solution of conservation laws by discontinous Galerkin methods.*. United States.

```
Flaherty, J. E., Loy, R. M., Shephard, M. S., and Teresco, J. D. Tue .
"Software for the parallel adaptive solution of conservation laws by discontinous Galerkin methods.". United States. https://www.osti.gov/servlets/purl/11936.
```

```
@article{osti_11936,
```

title = {Software for the parallel adaptive solution of conservation laws by discontinous Galerkin methods.},

author = {Flaherty, J. E. and Loy, R. M. and Shephard, M. S. and Teresco, J. D.},

abstractNote = {The authors develop software tools for the solution of conservation laws using parallel adaptive discontinuous Galerkin methods. In particular, the Rensselaer Partition Model (RPM) provides parallel mesh structures within an adaptive framework to solve the Euler equations of compressible flow by a discontinuous Galerkin method (LOCO). Results are presented for a Rayleigh-Taylor flow instability for computations performed on 128 processors of an IBM SP computer. In addition to managing the distributed data and maintaining a load balance, RPM provides information about the parallel environment that can be used to tailor partitions to a specific computational environment.},

doi = {},

journal = {},

number = ,

volume = ,

place = {United States},

year = {1999},

month = {8}

}

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