On physical realizability and uncertainty of numerical solutions

Andreas Dömbrack; James D. Doyle; Todd P. Lane; Robert D. Sharman; Piotr K. Smolarkiewicz

doi:10.1002/asl.100

On physical realizability and uncertainty of numerical solutions

Andreas Dömbrack, James D. Doyle, Todd P. Lane, Robert D. Sharman, Piotr K. Smolarkiewicz

Aviation Applications Program

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15 Scopus citations

Abstract

Numerical experiments of the stratified flow past a bell-shaped mountain with a shallow shear layer aloft are performed. Two different approximations of the entropy equation (explicit vs implicit numerical treatment of gravity waves) lead to a substantial discrepancy of the numerical results. As the flow is metastable, it turns out that both solutions are physically realizable and the quality of the solution changes in response to small variations in the accuracy of the numerical approximation.

Original language	English
Pages (from-to)	118-122
Number of pages	5
Journal	Atmospheric Science Letters
Volume	6
Issue number	2
DOIs	https://doi.org/10.1002/asl.100
State	Published - Apr 2005

Keywords

Atmospheric dynamics
Computational fluid dynamics
Numerical methods
Orographic flow

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10.1002/asl.100

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abstract = "Numerical experiments of the stratified flow past a bell-shaped mountain with a shallow shear layer aloft are performed. Two different approximations of the entropy equation (explicit vs implicit numerical treatment of gravity waves) lead to a substantial discrepancy of the numerical results. As the flow is metastable, it turns out that both solutions are physically realizable and the quality of the solution changes in response to small variations in the accuracy of the numerical approximation.",

keywords = "Atmospheric dynamics, Computational fluid dynamics, Numerical methods, Orographic flow",

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AU - Dömbrack, Andreas

AU - Doyle, James D.

AU - Lane, Todd P.

AU - Sharman, Robert D.

AU - Smolarkiewicz, Piotr K.

PY - 2005/4

Y1 - 2005/4

N2 - Numerical experiments of the stratified flow past a bell-shaped mountain with a shallow shear layer aloft are performed. Two different approximations of the entropy equation (explicit vs implicit numerical treatment of gravity waves) lead to a substantial discrepancy of the numerical results. As the flow is metastable, it turns out that both solutions are physically realizable and the quality of the solution changes in response to small variations in the accuracy of the numerical approximation.

AB - Numerical experiments of the stratified flow past a bell-shaped mountain with a shallow shear layer aloft are performed. Two different approximations of the entropy equation (explicit vs implicit numerical treatment of gravity waves) lead to a substantial discrepancy of the numerical results. As the flow is metastable, it turns out that both solutions are physically realizable and the quality of the solution changes in response to small variations in the accuracy of the numerical approximation.

KW - Atmospheric dynamics

KW - Computational fluid dynamics

KW - Numerical methods

KW - Orographic flow

UR - https://www.scopus.com/pages/publications/27544478173

U2 - 10.1002/asl.100

DO - 10.1002/asl.100

M3 - Article

AN - SCOPUS:27544478173

SN - 1530-261X

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JO - Atmospheric Science Letters

JF - Atmospheric Science Letters

IS - 2

ER -

On physical realizability and uncertainty of numerical solutions

Abstract

Keywords

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