High-order finite-volume methods for hyperbolic conservation laws on mapped multiblock grids
Abstract
We present an approach to solving hyperbolic conservation laws by finite-volume methods on mapped multiblock grids, extending the approach of Colella, Dorr, Hittinger, and Martin (2011) [10] for grids with a single mapping. We consider mapped multiblock domains for mappings that are conforming at inter-block boundaries. By using a smooth continuation of the mapping into ghost cells surrounding a block, we reduce the inter-block communication problem to finding an accurate, robust interpolation into these ghost cells from neighboring blocks. We demonstrate fourth-order accuracy for the advection equation for multiblock coordinate systems in two and three dimensions.
- Authors:
-
- Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
- Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
- Publication Date:
- Research Org.:
- Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States); Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR)
- OSTI Identifier:
- 1249128
- Alternate Identifier(s):
- OSTI ID: 1236619; OSTI ID: 1247035; OSTI ID: 1407349
- Report Number(s):
- LLNL-JRNL-652819; LBNL-182615
Journal ID: ISSN 0021-9991
- Grant/Contract Number:
- AC52-07NA27344; AC02-05CH11231
- Resource Type:
- Journal Article: Accepted Manuscript
- Journal Name:
- Journal of Computational Physics
- Additional Journal Information:
- Journal Volume: 288; Journal Issue: C; Journal ID: ISSN 0021-9991
- Publisher:
- Elsevier
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 97 MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE; finite-volume method; high-order discretization; mapped grids; multiblock; hyperbolic partial differential equations
Citation Formats
McCorquodale, P. W., Colella, P., Dorr, M. R., and Hittinger, J. A. F. High-order finite-volume methods for hyperbolic conservation laws on mapped multiblock grids. United States: N. p., 2015.
Web. doi:10.1016/j.jcp.2015.01.006.
McCorquodale, P. W., Colella, P., Dorr, M. R., & Hittinger, J. A. F. High-order finite-volume methods for hyperbolic conservation laws on mapped multiblock grids. United States. https://doi.org/10.1016/j.jcp.2015.01.006
McCorquodale, P. W., Colella, P., Dorr, M. R., and Hittinger, J. A. F. 2015.
"High-order finite-volume methods for hyperbolic conservation laws on mapped multiblock grids". United States. https://doi.org/10.1016/j.jcp.2015.01.006. https://www.osti.gov/servlets/purl/1249128.
@article{osti_1249128,
title = {High-order finite-volume methods for hyperbolic conservation laws on mapped multiblock grids},
author = {McCorquodale, P. W. and Colella, P. and Dorr, M. R. and Hittinger, J. A. F.},
abstractNote = {We present an approach to solving hyperbolic conservation laws by finite-volume methods on mapped multiblock grids, extending the approach of Colella, Dorr, Hittinger, and Martin (2011) [10] for grids with a single mapping. We consider mapped multiblock domains for mappings that are conforming at inter-block boundaries. By using a smooth continuation of the mapping into ghost cells surrounding a block, we reduce the inter-block communication problem to finding an accurate, robust interpolation into these ghost cells from neighboring blocks. We demonstrate fourth-order accuracy for the advection equation for multiblock coordinate systems in two and three dimensions.},
doi = {10.1016/j.jcp.2015.01.006},
url = {https://www.osti.gov/biblio/1249128},
journal = {Journal of Computational Physics},
issn = {0021-9991},
number = C,
volume = 288,
place = {United States},
year = {Tue Jan 13 00:00:00 EST 2015},
month = {Tue Jan 13 00:00:00 EST 2015}
}
Web of Science
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