Detecting Discontinuities Over Triangular Meshes Using Multiwavelets

Mathea Vuik; Jennifer Ryan

doi:10.1007/978-3-319-65870-4_27

Detecting Discontinuities Over Triangular Meshes Using Multiwavelets

Mathea Vuik, Jennifer Ryan

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

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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.

Original language	English
Title of host publication	Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2016
Editors	Marco L. Bittencourt, Ney A. Dumont, Jan S. Hesthaven
Publisher	Springer
Pages	383-395
Number of pages	13
Volume	119
ISBN (Electronic)	978-3-319-65870-4
ISBN (Print)	978-3-319-65869-8
DOIs	https://doi.org/10.1007/978-3-319-65870-4_27
Publication status	Published - 2017
Event	ICOSAHOM conference - Rio de Janeiro, Brazil Duration: 27 Jun 2016 → 1 Jul 2016

Publication series

Name	Lecture Notes in Computational Science and Engineering
Publisher	Springer
Volume	119
ISSN (Print)	1439-7358

Conference

Conference	ICOSAHOM conference
Country/Territory	Brazil
City	Rio de Janeiro
Period	27/06/16 → 1/07/16

Keywords

discontinuous Galerkin
Multi-wavelets
Hyperbolic Equations
Multi-Resolution analysis

Access to Document

10.1007/978-3-319-65870-4_27

Accepted manuscriptAccepted author manuscript, 509 KB

Cite this

Vuik, M., & Ryan, J. (2017). Detecting Discontinuities Over Triangular Meshes Using Multiwavelets. In M. L. Bittencourt, N. A. Dumont, & J. S. Hesthaven (Eds.), Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2016 (Vol. 119, pp. 383-395). (Lecture Notes in Computational Science and Engineering; Vol. 119). Springer. https://doi.org/10.1007/978-3-319-65870-4_27

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Vuik, M & Ryan, J 2017, Detecting Discontinuities Over Triangular Meshes Using Multiwavelets. in ML Bittencourt, NA Dumont & JS Hesthaven (eds), Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2016. vol. 119, Lecture Notes in Computational Science and Engineering, vol. 119, Springer, pp. 383-395, ICOSAHOM conference, Rio de Janeiro, Brazil, 27/06/16. https://doi.org/10.1007/978-3-319-65870-4_27

Detecting Discontinuities Over Triangular Meshes Using Multiwavelets. / Vuik, Mathea; Ryan, Jennifer.
Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2016. ed. / Marco L. Bittencourt; Ney A. Dumont; Jan S. Hesthaven. Vol. 119 Springer, 2017. p. 383-395 (Lecture Notes in Computational Science and Engineering; Vol. 119).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

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