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Mathematics > Numerical Analysis

arXiv:1804.08814 (math)
[Submitted on 24 Apr 2018]

Title:An Invariant-region-preserving (IRP) Limiter to DG Methods for Compressible Euler Equations

Authors:Yi Jiang, Hailiang Liu
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Abstract:We introduce an explicit invariant-region-preserving limiter applied to DG methods for compressible Euler equations. The invariant region considered consists of positivity of density and pressure and a maximum principle of a specific entropy. The modified polynomial by the limiter preserves the cell average, lies entirely within the invariant region and does not destroy the high order of accuracy for smooth solutions. Numerical tests are presented to illustrate the properties of the limiter. In particular, the tests on Riemann problems show that the limiter helps to damp the oscillations near discontinuities.
Comments: 12 pages, 3 figures, 2 tables, XVI International Conference on Hyperbolic Problems Theory, Numerics, Applications
Subjects: Numerical Analysis (math.NA)
MSC classes: 65M60, 35L65, 35L45
Cite as: arXiv:1804.08814 [math.NA]
  (or arXiv:1804.08814v1 [math.NA] for this version)
  https://doi.org/10.48550/arXiv.1804.08814

Submission history

From: Yi Jiang [view email]
[v1] Tue, 24 Apr 2018 02:34:15 UTC (111 KB)
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