Adaptive time-stepping algorithms for the scalar auxiliary variable scheme of Navier-Stokes equations

Adaptive time stepping is an important tool for controlling the simulation error and enhancing its efficiency in computational fluid dynamics. In this paper, we introduce two adaptive time-stepping algorithms based on the scalar auxiliary variable scheme for the Navier-Stokes equation. One way is to...

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Bibliographic Details
Published inJournal of algorithms & computational technology Vol. 16; p. 174830262210939
Main Authors Chen, Hongtao, Wang, Weilong
Format Journal Article
LanguageEnglish
Published London, England SAGE Publications 01.08.2022
Sage Publications Ltd
SAGE Publishing
Subjects
Adaptive algorithms
Computational fluid dynamics
Computing time
Fluid flow
Navier-Stokes equations
adaptive time-stepping method
relative error
energy equidistribution
65M60
76M10
Navier-Stokes equation
scalar auxiliary variable approach
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Summary:Adaptive time stepping is an important tool for controlling the simulation error and enhancing its efficiency in computational fluid dynamics. In this paper, we introduce two adaptive time-stepping algorithms based on the scalar auxiliary variable scheme for the Navier-Stokes equation. One way is to take equidistribution of energy decay to control the variance of the time steps, and in the other way, the relative error is involved to produce time steps. The numerical experiments show that the computational time is significantly saved by these methods.
ISSN:1748-3018
1748-3026
DOI:10.1177/17483026221093956