Entropy Stability and the No-Slip Wall Boundary Condition

Magnus Svärd; Mark H. Carpenter; Matteo Parsani

doi:10.1137/16M1097225

Entropy Stability and the No-Slip Wall Boundary Condition

Magnus Svärd, Mark H. Carpenter, Matteo Parsani

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

Abstract

We present an entropy stable numerical scheme subject to no-slip wall boundary conditions. To enforce entropy stability only the no-penetration boundary condition and a temperature condition are needed at a wall, and this leads to an L bound on the conservative variables. In this article, we take the next step and design a finite difference scheme that also bounds the velocity gradients. This necessitates the use of the full no-slip conditions.

Original language	English (US)
Pages (from-to)	256-273
Number of pages	18
Journal	SIAM Journal on Numerical Analysis
Volume	56
Issue number	1
DOIs	https://doi.org/10.1137/16M1097225
State	Published - Jan 18 2018

Bibliographical note

KAUST Repository Item: Exported on 2021-02-19
Acknowledgements: This work was partially supported by King Abdullah University of Science and Technology (KAUST) in Thuwal, Saudi Arabia.

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10.1137/16M1097225

https://repository.kaust.edu.sa/bitstream/10754/627364/1/16m1097225.pdf

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title = "Entropy Stability and the No-Slip Wall Boundary Condition",

abstract = "We present an entropy stable numerical scheme subject to no-slip wall boundary conditions. To enforce entropy stability only the no-penetration boundary condition and a temperature condition are needed at a wall, and this leads to an L bound on the conservative variables. In this article, we take the next step and design a finite difference scheme that also bounds the velocity gradients. This necessitates the use of the full no-slip conditions.",

author = "Magnus Sv{\"a}rd and Carpenter, {Mark H.} and Matteo Parsani",

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AU - Carpenter, Mark H.

AU - Parsani, Matteo

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PY - 2018/1/18

Y1 - 2018/1/18

N2 - We present an entropy stable numerical scheme subject to no-slip wall boundary conditions. To enforce entropy stability only the no-penetration boundary condition and a temperature condition are needed at a wall, and this leads to an L bound on the conservative variables. In this article, we take the next step and design a finite difference scheme that also bounds the velocity gradients. This necessitates the use of the full no-slip conditions.

AB - We present an entropy stable numerical scheme subject to no-slip wall boundary conditions. To enforce entropy stability only the no-penetration boundary condition and a temperature condition are needed at a wall, and this leads to an L bound on the conservative variables. In this article, we take the next step and design a finite difference scheme that also bounds the velocity gradients. This necessitates the use of the full no-slip conditions.

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UR - http://www.scopus.com/inward/record.url?scp=85043473915&partnerID=8YFLogxK

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JO - SIAM Journal on Numerical Analysis

JF - SIAM Journal on Numerical Analysis

IS - 1

ER -

Entropy Stability and the No-Slip Wall Boundary Condition

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