Detecting Discontinuities Over Triangular Meshes Using Multiwavelets

Vuik, Mathea and Ryan, Jennifer (2017) Detecting Discontinuities Over Triangular Meshes Using Multiwavelets. In: Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2016. Lecture Notes in Computational Science and Engineering, 119 . Springer, BRA, pp. 383-395. ISBN 978-3-319-65869-8

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Abstract

It is well known that solutions to nonlinear hyperbolic PDEs develop discontinuities in time. The generation of spurious oscillations in such regions can be prevented by applying a limiter in the troubled zones. In earlier work, we constructed a multiwavelet troubled-cell indicator for one and (tensor-product) two dimensions (SIAM J. Sci. Comput. 38(1):A84–A104, 2016). In this paper, we investigate multiwavelet troubled-cell indicators on structured triangular meshes. One indicator uses a problem-dependent parameter; the other indicator is combined with outlier detection.

Item Type: Book Section
Uncontrolled Keywords: discontinuous galerkin,multi-wavelets,hyperbolic equations,multi-resolution analysis
Faculty \ School: Faculty of Science > School of Mathematics
Depositing User: Pure Connector
Date Deposited: 07 Jul 2017 05:07
Last Modified: 22 Jul 2020 03:26
URI: https://ueaeprints.uea.ac.uk/id/eprint/64058
DOI: 10.1007/978-3-319-65870-4_27

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