# Adaptive mesh and algorithm refinement using direct simulation Monte Carlo

## Abstract

Adaptive mesh and algorithm refinement (AMAR) embeds a particle method within a continuum method at the finest level of an adaptive mesh refinement (AMR) hierarchy. The coupling between the particle region and the overlaying continuum grid is algorithmically equivalent to that between the fine and coarse levels of AMR. Direct simulation Monte Carlo (DSMC) is used as the particle algorithm embedded within a Godunov-type compressible Navier-Stokes solver. Several examples are presented and compared with purely continuum calculations.

- Authors:

- Publication Date:

- Research Org.:
- Lawrence Berkeley National Lab., CA (US)

- Sponsoring Org.:
- National Science Foundation (NSF); USDOE

- OSTI Identifier:
- 20000630

- DOE Contract Number:
- AC03-76SF00098; W-7405-ENG-48

- Resource Type:
- Journal Article

- Journal Name:
- Journal of Computational Physics

- Additional Journal Information:
- Journal Volume: 154; Journal Issue: 1; Other Information: PBD: 1 Sep 1999; Journal ID: ISSN 0021-9991

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 66 PHYSICS; 99 MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE; MESH GENERATION; ALGORITHMS; MONTE CARLO METHOD; NAVIER-STOKES EQUATIONS; FLUID MECHANICS

### Citation Formats

```
Garcia, A.L., Bell, J.B., Crutchfield, W.Y., and Alder, B.J.
```*Adaptive mesh and algorithm refinement using direct simulation Monte Carlo*. United States: N. p., 1999.
Web. doi:10.1006/jcph.1999.6305.

```
Garcia, A.L., Bell, J.B., Crutchfield, W.Y., & Alder, B.J.
```*Adaptive mesh and algorithm refinement using direct simulation Monte Carlo*. United States. doi:10.1006/jcph.1999.6305.

```
Garcia, A.L., Bell, J.B., Crutchfield, W.Y., and Alder, B.J. Wed .
"Adaptive mesh and algorithm refinement using direct simulation Monte Carlo". United States. doi:10.1006/jcph.1999.6305.
```

```
@article{osti_20000630,
```

title = {Adaptive mesh and algorithm refinement using direct simulation Monte Carlo},

author = {Garcia, A.L. and Bell, J.B. and Crutchfield, W.Y. and Alder, B.J.},

abstractNote = {Adaptive mesh and algorithm refinement (AMAR) embeds a particle method within a continuum method at the finest level of an adaptive mesh refinement (AMR) hierarchy. The coupling between the particle region and the overlaying continuum grid is algorithmically equivalent to that between the fine and coarse levels of AMR. Direct simulation Monte Carlo (DSMC) is used as the particle algorithm embedded within a Godunov-type compressible Navier-Stokes solver. Several examples are presented and compared with purely continuum calculations.},

doi = {10.1006/jcph.1999.6305},

journal = {Journal of Computational Physics},

issn = {0021-9991},

number = 1,

volume = 154,

place = {United States},

year = {1999},

month = {9}

}

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