Revisiting well-posed boundary conditions for the shallow water equations

Sarmad Ghader; Jan Nordström

doi:10.1016/j.dynatmoce.2014.01.002

Revisiting well-posed boundary conditions for the shallow water equations

Sarmad Ghader, Jan Nordström

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

12 Citations (Scopus)

Abstract

We derive a general form of well-posed open boundary conditions for the two-dimensional shallow water equations by using the energy method. Both the number and the type of boundary conditions are presented for subcritical and supercritical flows on a general domain. The boundary conditions are also discussed for a rectangular domain. We compare the results with a number of often used open boundary conditions and show that they are a subset of the derived general form.

Original language	English
Pages (from-to)	1-9
Number of pages	9
Journal	Dynamics of Atmospheres and Oceans
Volume	66
DOIs	https://doi.org/10.1016/j.dynatmoce.2014.01.002
Publication status	Published - Jun 2014
Externally published	Yes

Keywords

Boundary conditions
Energy method
Shallow water equations
Subcritical
Supercritical
Well-posedness

ASJC Scopus subject areas

Oceanography
Geology
Computers in Earth Sciences
Atmospheric Science

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10.1016/j.dynatmoce.2014.01.002

Cite this

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abstract = "We derive a general form of well-posed open boundary conditions for the two-dimensional shallow water equations by using the energy method. Both the number and the type of boundary conditions are presented for subcritical and supercritical flows on a general domain. The boundary conditions are also discussed for a rectangular domain. We compare the results with a number of often used open boundary conditions and show that they are a subset of the derived general form.",

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AU - Ghader, Sarmad

AU - Nordström, Jan

PY - 2014/6

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N2 - We derive a general form of well-posed open boundary conditions for the two-dimensional shallow water equations by using the energy method. Both the number and the type of boundary conditions are presented for subcritical and supercritical flows on a general domain. The boundary conditions are also discussed for a rectangular domain. We compare the results with a number of often used open boundary conditions and show that they are a subset of the derived general form.

AB - We derive a general form of well-posed open boundary conditions for the two-dimensional shallow water equations by using the energy method. Both the number and the type of boundary conditions are presented for subcritical and supercritical flows on a general domain. The boundary conditions are also discussed for a rectangular domain. We compare the results with a number of often used open boundary conditions and show that they are a subset of the derived general form.

KW - Boundary conditions

KW - Energy method

KW - Shallow water equations

KW - Subcritical

KW - Supercritical

KW - Well-posedness

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U2 - 10.1016/j.dynatmoce.2014.01.002

DO - 10.1016/j.dynatmoce.2014.01.002

M3 - Article

AN - SCOPUS:84893408349

SN - 0377-0265

VL - 66

SP - 1

EP - 9

JO - Dynamics of Atmospheres and Oceans

JF - Dynamics of Atmospheres and Oceans

ER -

Revisiting well-posed boundary conditions for the shallow water equations

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

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