High-order finite-volume methods for hyperbolic conservation laws on mapped multiblock grids

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 in...

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Bibliographic Details
Published in:Journal of computational physics 2015-05, Vol.288, p.181-195
Main Authors: McCorquodale, P., Dorr, M.R., Hittinger, J.A.F., Colella, P.
Format: Article
Language:English
Subjects:
Blocking
Boundaries
Conservation laws
Ghosts
Interpolation
Mapping
Mathematical analysis
MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE
Multiblock grids
Three dimensional
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Summary: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.
ISSN:0021-9991
1090-2716
DOI:10.1016/j.jcp.2015.01.006