Open boundary conditions for nonlinear initial boundary value problems

Jan Nordström

doi:10.1016/j.jcp.2025.113909

Open boundary conditions for nonlinear initial boundary value problems

Jan Nordström

Mathematics and Applied Mathematics

Linköping University

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

Abstract

We present a straightforward energy stable weak implementation procedure of open boundary conditions for nonlinear initial boundary value problems. It is mathematically identical, reduces the number of parameters and simplifies previous work and its practical implementation.

Original language	English
Article number	113909
Journal	Journal of Computational Physics
Volume	530
DOIs	https://doi.org/10.1016/j.jcp.2025.113909
Publication status	Published - 1 Jun 2025

Keywords

Energy stability
Euler equations
Navier-Stokes equations
Nonlinear boundary conditions
Shallow water equations
Summation-by-parts

ASJC Scopus subject areas

Numerical Analysis
Modeling and Simulation
Physics and Astronomy (miscellaneous)
General Physics and Astronomy
Computer Science Applications
Computational Mathematics
Applied Mathematics

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10.1016/j.jcp.2025.113909

Cite this

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title = "Open boundary conditions for nonlinear initial boundary value problems",

abstract = "We present a straightforward energy stable weak implementation procedure of open boundary conditions for nonlinear initial boundary value problems. It is mathematically identical, reduces the number of parameters and simplifies previous work and its practical implementation.",

keywords = "Energy stability, Euler equations, Navier-Stokes equations, Nonlinear boundary conditions, Shallow water equations, Summation-by-parts",

author = "Jan Nordstr{\"o}m",

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KW - Energy stability

KW - Euler equations

KW - Navier-Stokes equations

KW - Nonlinear boundary conditions

KW - Shallow water equations

KW - Summation-by-parts

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DO - 10.1016/j.jcp.2025.113909

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VL - 530

JO - Journal of Computational Physics

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ER -

Open boundary conditions for nonlinear initial boundary value problems

Abstract

Keywords

ASJC Scopus subject areas

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