A stable and conservative nonlinear interface coupling for the incompressible Euler equations

Jan Nordström; Fredrik Laurén

doi:10.1016/j.aml.2022.108171

A stable and conservative nonlinear interface coupling for the incompressible Euler equations

Jan Nordström, Fredrik Laurén

Mathematics and Applied Mathematics

Linköping University

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

3 Citations (Scopus)

Abstract

Energy stable and conservative nonlinear weakly imposed interface conditions for the incompressible Euler equations are derived in the continuous setting. By discretely mimicking the continuous analysis using summation-by-parts operators, we prove that the numerical scheme is stable and conservative. The theoretical findings are verified by numerical experiments.

Original language	English
Article number	108171
Journal	Applied Mathematics Letters
Volume	132
DOIs	https://doi.org/10.1016/j.aml.2022.108171
Publication status	Published - Oct 2022

Keywords

Conservation
Incompressible Euler equations
Nonlinear interface conditions
Stability
Summation-by-parts

ASJC Scopus subject areas

Applied Mathematics

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10.1016/j.aml.2022.108171

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title = "A stable and conservative nonlinear interface coupling for the incompressible Euler equations",

abstract = "Energy stable and conservative nonlinear weakly imposed interface conditions for the incompressible Euler equations are derived in the continuous setting. By discretely mimicking the continuous analysis using summation-by-parts operators, we prove that the numerical scheme is stable and conservative. The theoretical findings are verified by numerical experiments.",

keywords = "Conservation, Incompressible Euler equations, Nonlinear interface conditions, Stability, Summation-by-parts",

author = "Jan Nordstr{\"o}m and Fredrik Laur{\'e}n",

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AU - Nordström, Jan

AU - Laurén, Fredrik

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N2 - Energy stable and conservative nonlinear weakly imposed interface conditions for the incompressible Euler equations are derived in the continuous setting. By discretely mimicking the continuous analysis using summation-by-parts operators, we prove that the numerical scheme is stable and conservative. The theoretical findings are verified by numerical experiments.

AB - Energy stable and conservative nonlinear weakly imposed interface conditions for the incompressible Euler equations are derived in the continuous setting. By discretely mimicking the continuous analysis using summation-by-parts operators, we prove that the numerical scheme is stable and conservative. The theoretical findings are verified by numerical experiments.

KW - Conservation

KW - Incompressible Euler equations

KW - Nonlinear interface conditions

KW - Stability

KW - Summation-by-parts

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DO - 10.1016/j.aml.2022.108171

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VL - 132

JO - Applied Mathematics Letters

JF - Applied Mathematics Letters

M1 - 108171

ER -

A stable and conservative nonlinear interface coupling for the incompressible Euler equations

Abstract

Keywords

ASJC Scopus subject areas

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