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

JOURNAL OF COMPUTATIONAL PHYSICS

卷:288

Article

McCorquodale, P.¹  Dorr, M. R.²  Hittinger, J. A. F.²  Colella, P.¹ 

[1] Univ Calif Berkeley, Lawrence Berkeley Natl Lab, Computat Res Div, Berkeley, CA 94720 USA

[2] Lawrence Livermore Natl Lab, Ctr Appl Sci Comp, Livermore, CA 94551 USA

关键词: Finite-volume method;    High-order discretization;    Mapped grids;    Multiblock;    Hyperbolic partial differential equations;   

DOI  :  10.1016/j.jcp.2015.01.006

来源: Elsevier

【 摘 要 】

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. (C) 2015 Elsevier Inc. All rights reserved.

【 授权许可】

Free