Open boundary conditions for nonlinear initial boundary value problems

Jan Nordström

doi:10.1016/j.jcp.2025.113909

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Open boundary conditions for nonlinear initial boundary value problems

Journal article

Open access

Peer reviewed

Open boundary conditions for nonlinear initial boundary value problems

Jan Nordström

Journal of computational physics, Vol.530, p.113909

01/06/2025

DOI: https://doi.org/10.1016/j.jcp.2025.113909

Handle:

https://hdl.handle.net/10210/516995

Abstract

Energy stability

Euler equations

Navier-Stokes equations

Nonlinear boundary conditions

Shallow water equations

Summation-by-parts

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.

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Details

Title: Open boundary conditions for nonlinear initial boundary value problems
Creators - without role: Jan Nordström - University of Johannesburg
Publication Details: Journal of computational physics, Vol.530, p.113909
Publisher: Elsevier Inc
Identifiers: 9957406007691
Publication Details: 0021-9991
Academic Unit: University of Johannesburg; Faculty of Science; Department of Mathematics and Applied Mathematics
Language: English
Resource Type: Journal article