Compact cell-centered discretization stencils at fine-coarse block structured grid interfaces
Pletzer, A., Jamroz, B., Crockett, R., Sides, S.. (2014). Compact cell-centered discretization stencils at fine-coarse block structured grid interfaces. Journal of Computational Physics, doi:10.1016/j.jcp.2013.12.020
| Title | Compact cell-centered discretization stencils at fine-coarse block structured grid interfaces |
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| Author(s) | Alexander Pletzer, Benjamin Jamroz, Robert Crockett, Scott Sides |
| Abstract | Different strategies for coupling fine-coarse grid patches are explored in the context of the adaptive mesh refinement (AMR) method. We show that applying linear interpolation to fill in the fine grid ghost values can produce a finite volume stencil of comparable accuracy to quadratic interpolation provided the cell volumes are adjusted. The volume of fine cells expands whereas the volume of neighboring coarse cells contracts. The amount by which the cells contract/expand depends on whether the interface is a face, an edge, or a corner. It is shown that quadratic or better interpolation is required when the conductivity is spatially varying, anisotropic, the refinement ratio is other than two, or when the fine-coarse interface is concave. |
| Publication Title | Journal of Computational Physics |
| Publication Date | Mar 1, 2014 |
| Publisher's Version of Record | https://dx.doi.org/10.1016/j.jcp.2013.12.020 |
| OpenSky Citable URL | https://n2t.net/ark:/85065/d7m909n2 |
| OpenSky Listing | View on OpenSky |
| CISL Affiliations | TDD, ASAP |