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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.
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Contributor : Yann Moguen Connect in order to contact the contributor
Submitted on : Friday, December 21, 2012 - 5:45:31 PM
Last modification on : Wednesday, May 11, 2022 - 3:16:31 AM


  • HAL Id : hal-00768523, version 1



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. ⟨hal-00768523⟩



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