A stable and accurate Davies-like relaxation procedure using multiple penalty terms for lateral boundary conditions

Hannes Frenander; Jan Nordström

doi:10.1016/j.dynatmoce.2015.11.002

A stable and accurate Davies-like relaxation procedure using multiple penalty terms for lateral boundary conditions

Hannes Frenander, Jan Nordström

Linköping University

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

4 Citations (Scopus)

Abstract

A lateral boundary treatment using summation-by-parts operators and simultaneous approximation terms is introduced. The method is similar to Davies relaxation technique used in the weather prediction community and have similar areas of application, but is also provably stable. In this paper, it is shown how this technique can be applied to the shallow water equations, and that it reduces the errors in the computational domain.

Original language	English
Pages (from-to)	34-46
Number of pages	13
Journal	Dynamics of Atmospheres and Oceans
Volume	73
DOIs	https://doi.org/10.1016/j.dynatmoce.2015.11.002
Publication status	Published - 1 Mar 2016
Externally published	Yes

Keywords

Boundary conditions
Boundary layers
Convergence
Energy method
Shallow water equations
Summation-by-parts

ASJC Scopus subject areas

Oceanography
Geology
Computers in Earth Sciences
Atmospheric Science

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10.1016/j.dynatmoce.2015.11.002

Cite this

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abstract = "A lateral boundary treatment using summation-by-parts operators and simultaneous approximation terms is introduced. The method is similar to Davies relaxation technique used in the weather prediction community and have similar areas of application, but is also provably stable. In this paper, it is shown how this technique can be applied to the shallow water equations, and that it reduces the errors in the computational domain.",

keywords = "Boundary conditions, Boundary layers, Convergence, Energy method, Shallow water equations, Summation-by-parts",

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AU - Frenander, Hannes

AU - Nordström, Jan

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N2 - A lateral boundary treatment using summation-by-parts operators and simultaneous approximation terms is introduced. The method is similar to Davies relaxation technique used in the weather prediction community and have similar areas of application, but is also provably stable. In this paper, it is shown how this technique can be applied to the shallow water equations, and that it reduces the errors in the computational domain.

AB - A lateral boundary treatment using summation-by-parts operators and simultaneous approximation terms is introduced. The method is similar to Davies relaxation technique used in the weather prediction community and have similar areas of application, but is also provably stable. In this paper, it is shown how this technique can be applied to the shallow water equations, and that it reduces the errors in the computational domain.

KW - Boundary conditions

KW - Boundary layers

KW - Convergence

KW - Energy method

KW - Shallow water equations

KW - Summation-by-parts

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DO - 10.1016/j.dynatmoce.2015.11.002

M3 - Article

AN - SCOPUS:84949818429

SN - 0377-0265

VL - 73

SP - 34

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JO - Dynamics of Atmospheres and Oceans

JF - Dynamics of Atmospheres and Oceans

ER -

A stable and accurate Davies-like relaxation procedure using multiple penalty terms for lateral boundary conditions

Abstract

Keywords

ASJC Scopus subject areas

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