Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6933351 | Journal of Computational Physics | 2013 | 23 Pages |
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 studied 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 (1980) 55-70], 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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Physical Sciences and Engineering
Computer Science
Computer Science Applications
Authors
Yann Moguen, Pascal Bruel, Erik Dick,