Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
10356000 | Journal of Computational Physics | 2014 | 20 Pages |
Abstract
A high order discretization strategy for solving hyperbolic initial-boundary value problems on hybrid structured-unstructured grids is proposed. The method leverages the capabilities of two distinct families of polynomial elements: discontinuous Galerkin discretizations which can be applied on elements of arbitrary shape, and Hermite discretizations which allow highly efficient implementations on staircased Cartesian grids. We demonstrate through numerical experiments in 1+1 and 2+1 dimensions that the hybridized method is stable and efficient.
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Physical Sciences and Engineering
Computer Science
Computer Science Applications
Authors
Xi (Ronald) Chen, Daniel Appelö, Thomas Hagstrom,