An adaptive multiblock high-order finite-volume method for solving the shallow-water equations on the sphere
Journal Article
·
· Communications in Applied Mathematics and Computational Science
- 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.
- 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
Cited by: 17 works
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