BOUNDARY CONDITIONS FOR SEMI-IMPLICIT LOW MACH NUMBER FLOW CALCULATION

Abstract : For low Mach number flow calculation, when acoustic waves have to be captured, semi-implicit methods allow to avoid the time-step limitation that arises when explicit schemes are used. A method is suggested to solve the boundary equations so that the semi-implicitness of the algorithm is maintained, as well as its pressure-velocity coupling. This method is stud- ied theoretically and numerically, in the low Mach number regime. Partially non-reflective characteristic-based boundary conditions, with the linear relaxation form suggested by Rudy and Strikwerda, [J. Comput. Phys. 36:55-70, 1980], are considered. It is shown that their properties, well known in the framework of explicit schemes, are recovered with the proposed semi-implicit treatment and an acoustic CFL number significantly larger than unity.
Type de document :
Communication dans un congrès
European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS 2012), Sep 2012, Vienna, Austria. 2012
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https://hal.inria.fr/hal-00768523
Contributeur : Yann Moguen <>
Soumis le : vendredi 21 décembre 2012 - 17:45:31
Dernière modification le : jeudi 11 janvier 2018 - 06:23:37

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  • HAL Id : hal-00768523, version 1

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Yann Moguen, Pascal Bruel, Erik Dick. BOUNDARY CONDITIONS FOR SEMI-IMPLICIT LOW MACH NUMBER FLOW CALCULATION. European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS 2012), Sep 2012, Vienna, Austria. 2012. 〈hal-00768523〉

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