Open boundary conditions for nonlinear channel flow

Jonas Nycander; Andrew Mc C. Hogg; Leela M. Frankcombe

doi:10.1016/j.ocemod.2008.06.003

Open boundary conditions for nonlinear channel flow

Jonas Nycander^*, Andrew Mc C. Hogg, Leela M. Frankcombe

^*Corresponding author for this work

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

18 Citations (Scopus)

Abstract

Open boundary conditions are derived for the one-dimensional nonrotating two-layer shallow-water equations. The conditions are based on characteristics of the external and internal modes. It is possible to find exact nonlinear characteristic conditions for the external mode, as well as approximate nonlinear conditions for the internal mode. These conditions can also be linearised by Taylor expansion; the approximate linear conditions are similar to those used in several previous studies. Both of the nonlinear and linearised conditions perform well, indicating that either the nonlinear or linearised conditions may potentially be extended to the more general case of multi-layer flows.

Original language	English
Pages (from-to)	108-121
Number of pages	14
Journal	Ocean Modelling
Volume	24
Issue number	3-4
DOIs	https://doi.org/10.1016/j.ocemod.2008.06.003
Publication status	Published - 2008

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10.1016/j.ocemod.2008.06.003

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abstract = "Open boundary conditions are derived for the one-dimensional nonrotating two-layer shallow-water equations. The conditions are based on characteristics of the external and internal modes. It is possible to find exact nonlinear characteristic conditions for the external mode, as well as approximate nonlinear conditions for the internal mode. These conditions can also be linearised by Taylor expansion; the approximate linear conditions are similar to those used in several previous studies. Both of the nonlinear and linearised conditions perform well, indicating that either the nonlinear or linearised conditions may potentially be extended to the more general case of multi-layer flows.",

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author = "Jonas Nycander and Hogg, {Andrew Mc C.} and Frankcombe, {Leela M.}",

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T1 - Open boundary conditions for nonlinear channel flow

AU - Nycander, Jonas

AU - Hogg, Andrew Mc C.

AU - Frankcombe, Leela M.

PY - 2008

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N2 - Open boundary conditions are derived for the one-dimensional nonrotating two-layer shallow-water equations. The conditions are based on characteristics of the external and internal modes. It is possible to find exact nonlinear characteristic conditions for the external mode, as well as approximate nonlinear conditions for the internal mode. These conditions can also be linearised by Taylor expansion; the approximate linear conditions are similar to those used in several previous studies. Both of the nonlinear and linearised conditions perform well, indicating that either the nonlinear or linearised conditions may potentially be extended to the more general case of multi-layer flows.

AB - Open boundary conditions are derived for the one-dimensional nonrotating two-layer shallow-water equations. The conditions are based on characteristics of the external and internal modes. It is possible to find exact nonlinear characteristic conditions for the external mode, as well as approximate nonlinear conditions for the internal mode. These conditions can also be linearised by Taylor expansion; the approximate linear conditions are similar to those used in several previous studies. Both of the nonlinear and linearised conditions perform well, indicating that either the nonlinear or linearised conditions may potentially be extended to the more general case of multi-layer flows.

KW - Boundary conditions

KW - Hydraulic flow

KW - Ocean model

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U2 - 10.1016/j.ocemod.2008.06.003

DO - 10.1016/j.ocemod.2008.06.003

M3 - Article

SN - 1463-5003

VL - 24

SP - 108

EP - 121

JO - Ocean Modelling

JF - Ocean Modelling

IS - 3-4

ER -

Open boundary conditions for nonlinear channel flow

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