Arbitrarily high-order accurate entropy stable essentially nonoscillatory schemes for systems of conservation laws
type: Item
instance of: scholarly article
zbMATH Open document ID: 1252.65150
DOI: 10.1137/110836961
author: Siddhartha Mishra
author: Eitan Tadmor
author: Ulrik S. Fjordholm
published in: SIAM Journal on Numerical Analysis
publication date: 2012-08-23T00:00:00Z
Mathematics Subject Classification ID: 65M08
Mathematics Subject Classification ID: 35L65
Mathematics Subject Classification ID: 65M12
zbMATH DE Number: 6070586
zbMATH Keywords: conservation laws
zbMATH Keywords: high-order nonoscillatory schemes
zbMATH Keywords: entropy conservation
zbMATH Keywords: numerical examples
zbMATH Keywords: compressible Euler equation
zbMATH Keywords: finite volume technique
zbMATH Keywords: stability
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1137/110836961
OpenAlex ID: W2041983391
title: Arbitrarily high-order accurate entropy stable essentially nonoscillatory schemes for systems of conservation laws
review text: The paper deals with the numerical solution of conservation laws, namely the compressible Euler equations, with the aid of the finite volume technique. The authors develop the so-called TeCNO scheme, which represents a combination of ENO (essentially nonoscillatory) reconstruction and the entropy conservation. Such scheme is constructed and analysed, the third order of accuracy and the entropy stability are proven. Finally, several experiments using the TeCNO scheme up to 5th order are presented. The experiments indicate the accuracy and robustness of the numerical method.
reviewed by: Vit Dolejsi
description: scientific article; zbMATH DE number 6070586