A note on benchmarking of numerical models for density dependent flow in porous media

B. Ataie-Ashtiani; M. M. Aghayi

doi:10.1016/j.advwatres.2006.01.009

A note on benchmarking of numerical models for density dependent flow in porous media

B. Ataie-Ashtiani, M. M. Aghayi

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5 Citations (Scopus)

Abstract

Verification of numerical models for density dependent flow in porous media (DDFPM) by the means of appropriate benchmark problems is a very important step in developing and using these models. Recently, Infinite Horizontal Box (IHB) problem was suggested as a possible benchmark problem for verification of DDFPM codes. IHB is based on Horton-Rogers-Lapwood (HRL) problem. Suitability of this problem for the benchmarking purpose has been investigated in this paper. It is shown that the wavelength of instabilities fails to be a proper criterion to be considered for this problem. However, the threshold of instability formation has been found to be appropriate for benchmarking purpose.

Original language	English
Pages (from-to)	1918-1923
Number of pages	6
Journal	Advances in Water Resources
Volume	29
Issue number	12
DOIs	https://doi.org/10.1016/j.advwatres.2006.01.009
Publication status	Published - 1 Dec 2006
Externally published	Yes

Keywords

Benchmark problem
Density dependent flow
Groundwater
Horton-Rogers-Lapwood problem
Numerical model
Porous media
Rayleigh number

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title = "A note on benchmarking of numerical models for density dependent flow in porous media",

abstract = "Verification of numerical models for density dependent flow in porous media (DDFPM) by the means of appropriate benchmark problems is a very important step in developing and using these models. Recently, Infinite Horizontal Box (IHB) problem was suggested as a possible benchmark problem for verification of DDFPM codes. IHB is based on Horton-Rogers-Lapwood (HRL) problem. Suitability of this problem for the benchmarking purpose has been investigated in this paper. It is shown that the wavelength of instabilities fails to be a proper criterion to be considered for this problem. However, the threshold of instability formation has been found to be appropriate for benchmarking purpose.",

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AU - Ataie-Ashtiani, B.

AU - Aghayi, M. M.

PY - 2006/12/1

Y1 - 2006/12/1

N2 - Verification of numerical models for density dependent flow in porous media (DDFPM) by the means of appropriate benchmark problems is a very important step in developing and using these models. Recently, Infinite Horizontal Box (IHB) problem was suggested as a possible benchmark problem for verification of DDFPM codes. IHB is based on Horton-Rogers-Lapwood (HRL) problem. Suitability of this problem for the benchmarking purpose has been investigated in this paper. It is shown that the wavelength of instabilities fails to be a proper criterion to be considered for this problem. However, the threshold of instability formation has been found to be appropriate for benchmarking purpose.

AB - Verification of numerical models for density dependent flow in porous media (DDFPM) by the means of appropriate benchmark problems is a very important step in developing and using these models. Recently, Infinite Horizontal Box (IHB) problem was suggested as a possible benchmark problem for verification of DDFPM codes. IHB is based on Horton-Rogers-Lapwood (HRL) problem. Suitability of this problem for the benchmarking purpose has been investigated in this paper. It is shown that the wavelength of instabilities fails to be a proper criterion to be considered for this problem. However, the threshold of instability formation has been found to be appropriate for benchmarking purpose.

KW - Benchmark problem

KW - Density dependent flow

KW - Groundwater

KW - Horton-Rogers-Lapwood problem

KW - Numerical model

KW - Porous media

KW - Rayleigh number

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DO - 10.1016/j.advwatres.2006.01.009

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VL - 29

SP - 1918

EP - 1923

JO - Advances in Water Resources

JF - Advances in Water Resources

IS - 12

ER -

A note on benchmarking of numerical models for density dependent flow in porous media

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Keywords

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