## A smoothed two- and three-dimensional interface reconstruction method

## Abstract

The Patterned Interface Reconstruction algorithm reduces the discontinuity between material interfaces in neighboring computational elements. This smoothing improves the accuracy of the reconstruction for smooth bodies. The method can be used in two- and three-dimensional Cartesian and unstructured meshes. Planar interfaces will be returned for planar volume fraction distributions. Finally, the algorithm is second-order accurate for smooth volume fraction distributions.

- Authors:

- Sandia National Lab. (SNL-NM), Albuquerque, NM (United States). Computational Shock and Multiphysics
- Sandia National Lab. (SNL-NM), Albuquerque, NM (United States). HEDP Theory

- Publication Date:

- Research Org.:
- Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)

- Sponsoring Org.:
- USDOE National Nuclear Security Administration (NNSA)

- OSTI Identifier:
- 1426998

- Report Number(s):
- SAND2007-0567J

Journal ID: ISSN 1432-9360; 524054

- Grant/Contract Number:
- AC04-94AL85000

- Resource Type:
- Accepted Manuscript

- Journal Name:
- Computing and Visualization in Science

- Additional Journal Information:
- Journal Volume: 12; Journal Issue: 7; Journal ID: ISSN 1432-9360

- Publisher:
- Springer

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 97 MATHEMATICS AND COMPUTING; stability point; unstructured grid; unstructured mesh; hexahedral element; neighboring element

### Citation Formats

```
Mosso, Stewart, Garasi, Christopher, and Drake, Richard. A smoothed two- and three-dimensional interface reconstruction method. United States: N. p., 2008.
Web. doi:10.1007/s00791-008-0108-y.
```

```
Mosso, Stewart, Garasi, Christopher, & Drake, Richard. A smoothed two- and three-dimensional interface reconstruction method. United States. doi:10.1007/s00791-008-0108-y.
```

```
Mosso, Stewart, Garasi, Christopher, and Drake, Richard. Tue .
"A smoothed two- and three-dimensional interface reconstruction method". United States. doi:10.1007/s00791-008-0108-y. https://www.osti.gov/servlets/purl/1426998.
```

```
@article{osti_1426998,
```

title = {A smoothed two- and three-dimensional interface reconstruction method},

author = {Mosso, Stewart and Garasi, Christopher and Drake, Richard},

abstractNote = {The Patterned Interface Reconstruction algorithm reduces the discontinuity between material interfaces in neighboring computational elements. This smoothing improves the accuracy of the reconstruction for smooth bodies. The method can be used in two- and three-dimensional Cartesian and unstructured meshes. Planar interfaces will be returned for planar volume fraction distributions. Finally, the algorithm is second-order accurate for smooth volume fraction distributions.},

doi = {10.1007/s00791-008-0108-y},

journal = {Computing and Visualization in Science},

number = 7,

volume = 12,

place = {United States},

year = {2008},

month = {4}

}

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