An adaptive multiblock high-order finite-volume method for solving the shallow-water equations on the sphere

McCorquodale, Peter; Ullrich, Paul; Johansen, Hans; Colella, Phillip

doi:10.2140/camcos.2015.10.121

Title: An adaptive multiblock high-order finite-volume method for solving the shallow-water equations on the sphere

Journal Article · Fri Sep 04 00:00:00 EDT 2015 · Communications in Applied Mathematics and Computational Science

DOI:https://doi.org/10.2140/camcos.2015.10.121· OSTI ID:1236078

McCorquodale, Peter ^[1]; Ullrich, Paul ^[2]; Johansen, Hans ^[1]; Colella, Phillip ^[1]

Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States). Computational Research Div.
Univ. of California, Davis, CA (United States). Dept. of Land, Air and Water Resources

Here we present a high-order finite-volume approach for solving the shallow-water equations on the sphere, using multiblock grids on the cubed sphere. This approach combines a Runge-Kutta time discretization with a fourth-order-accurate spatial discretization and includes adaptive mesh refinement and refinement in time. Results of tests show fourth-order convergence for the shallow-water equations as well as for advection in a highly deformational flow. Hierarchical adaptive mesh refinement allows solution error to be achieved that is comparable to that obtained with uniform resolution of the most refined level of the hierarchy but with many fewer operations.

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Research Organization:: Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States). Computational Research Division; Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR)

Grant/Contract Number:: AC02-05CH11231

OSTI ID:: 1236078

Alternate ID(s):: OSTI ID: 1407277

Report Number(s):: LBNL-183366; ir:183366

Journal Information:: Communications in Applied Mathematics and Computational Science, Vol. 10, Issue 2; ISSN 1559-3940

Publisher:: Mathematical Sciences PublishersCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 17 works

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Title: An adaptive multiblock high-order finite-volume method for solving the shallow-water equations on the sphere

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