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Journal of Scientific Computing
Published in: Journal of Scientific Computing 1/2018

29-11-2017

Flux-Conservative Hermite Methods for Simulation of Nonlinear Conservation Laws

Authors: Adeline Kornelus, Daniel Appelö

Published in: Journal of Scientific Computing | Issue 1/2018

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Abstract

A new class of Hermite methods for solving nonlinear conservation laws is presented. While preserving the high order spatial accuracy for smooth solutions in the existing Hermite methods, the new methods come with better stability properties. Artificial viscosity in the form of the entropy viscosity method is added to capture shocks.
previous article Adjoint-Based Functional Correction for Unstructured Mesh Finite Volume Methods
next article Anisotropic Meshes and Stabilization Parameter Design of Linear SUPG Method for 2D Convection-Dominated Convection–Diffusion Equations

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Appendix
Available only for authorised users
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Metadata
Title
Flux-Conservative Hermite Methods for Simulation of Nonlinear Conservation Laws
Authors
Adeline Kornelus
Daniel Appelö
Publication date
29-11-2017
Publisher
Springer US
Published in
Journal of Scientific Computing / Issue 1/2018
Print ISSN: 0885-7474
Electronic ISSN: 1573-7691
DOI
https://doi.org/10.1007/s10915-017-0613-6

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