Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
520023 | Journal of Computational Physics | 2015 | 15 Pages |
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.
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Physical Sciences and Engineering
Computer Science
Computer Science Applications
Authors
P. McCorquodale, M.R. Dorr, J.A.F. Hittinger, P. Colella,