Calculation of cell face velocity of non-staggered grid system

Wang Li; Bo Yu; Xinran Wang; Shuyu Sun

doi:10.1007/s10483-012-1600-6

Calculation of cell face velocity of non-staggered grid system

Wang Li, Bo Yu, Xinran Wang, Shuyu Sun

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

4 Scopus citations

Abstract

In this paper, the cell face velocities in the discretization of the continuity equation, the momentum equation, and the scalar equation of a non-staggered grid system are calculated and discussed. Both the momentum interpolation and the linear interpolation are adopted to evaluate the coefficients in the discretized momentum and scalar equations. Their performances are compared. When the linear interpolation is used to calculate the coefficients, the mass residual term in the coefficients must be dropped to maintain the accuracy and convergence rate of the solution. © Shanghai University and Springer-Verlag Berlin Heidelberg 2012.

Original language	English (US)
Pages (from-to)	991-1000
Number of pages	10
Journal	Applied Mathematics and Mechanics
Volume	33
Issue number	8
DOIs	https://doi.org/10.1007/s10483-012-1600-6
State	Published - Jul 28 2012

Bibliographical note

KAUST Repository Item: Exported on 2020-10-01
Acknowledgements: Project supported by the National Natural Science Foundation of China (Nos. 51176204 and 51134006)

ASJC Scopus subject areas

Mechanics of Materials
Mechanical Engineering
Applied Mathematics

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10.1007/s10483-012-1600-6

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abstract = "In this paper, the cell face velocities in the discretization of the continuity equation, the momentum equation, and the scalar equation of a non-staggered grid system are calculated and discussed. Both the momentum interpolation and the linear interpolation are adopted to evaluate the coefficients in the discretized momentum and scalar equations. Their performances are compared. When the linear interpolation is used to calculate the coefficients, the mass residual term in the coefficients must be dropped to maintain the accuracy and convergence rate of the solution. {\textcopyright} Shanghai University and Springer-Verlag Berlin Heidelberg 2012.",

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AU - Yu, Bo

AU - Wang, Xinran

AU - Sun, Shuyu

N1 - KAUST Repository Item: Exported on 2020-10-01 Acknowledgements: Project supported by the National Natural Science Foundation of China (Nos. 51176204 and 51134006)

PY - 2012/7/28

Y1 - 2012/7/28

N2 - In this paper, the cell face velocities in the discretization of the continuity equation, the momentum equation, and the scalar equation of a non-staggered grid system are calculated and discussed. Both the momentum interpolation and the linear interpolation are adopted to evaluate the coefficients in the discretized momentum and scalar equations. Their performances are compared. When the linear interpolation is used to calculate the coefficients, the mass residual term in the coefficients must be dropped to maintain the accuracy and convergence rate of the solution. © Shanghai University and Springer-Verlag Berlin Heidelberg 2012.

AB - In this paper, the cell face velocities in the discretization of the continuity equation, the momentum equation, and the scalar equation of a non-staggered grid system are calculated and discussed. Both the momentum interpolation and the linear interpolation are adopted to evaluate the coefficients in the discretized momentum and scalar equations. Their performances are compared. When the linear interpolation is used to calculate the coefficients, the mass residual term in the coefficients must be dropped to maintain the accuracy and convergence rate of the solution. © Shanghai University and Springer-Verlag Berlin Heidelberg 2012.

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JO - Applied Mathematics and Mechanics

JF - Applied Mathematics and Mechanics

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ER -

Calculation of cell face velocity of non-staggered grid system

Abstract

Bibliographical note

ASJC Scopus subject areas

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