Lawrence Berkeley National Laboratory
High-order finite-volume methods for hyperbolic conservation laws on mapped multiblock grids
- Author(s): McCorquodale, P
- Dorr, MR
- Hittinger, JAF
- Colella, P
- et al.
Published Web Locationhttps://doi.org/10.1016/j.jcp.2015.01.006
© 2015 Elsevier Inc. 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)  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.