Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4967464 | Journal of Computational Physics | 2017 | 14 Pages |
Abstract
We discuss conservative and stable numerical approximations in summation-by-parts form for linear hyperbolic problems with variable coefficients. An extended setting, where the boundary or interface may or may not be included in the grid, is considered. We prove that conservative and stable formulations for variable coefficient problems require a boundary and interface conforming grid and exact numerical mimicking of integration-by-parts. Finally, we comment on how the conclusions from the linear analysis carry over to the nonlinear setting.
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Physical Sciences and Engineering
Computer Science
Computer Science Applications
Authors
Jan Nordström, Andrea A. Ruggiu,