Journal
JOURNAL OF COMPUTATIONAL PHYSICS
Volume 226, Issue 1, Pages 879-896Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jcp.2007.05.011
Keywords
limiters; high-resolution schemes; discontinuous galerkin methods; Euler equations
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We describe a limiter for the discontinuous Galerkin method that retains as high an order as possible, and does not automatically reduce to first order. The limiter is a generalization of the limiter introduced in [R. Biswas, K. Devine, J.E. Flaherty, Parallel adaptive finite element methods for conservation laws, Applied Numerical Mathematics 14 (1994) 255-284]. We present the one-dimensional case and extend it to two-dimensional problems on tensor-product meshes. Computational results for examples with both smooth and discontinuous solutions are shown. (C) 2007 Elsevier Inc. All rights reserved.
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