Journal article
An artificial compressibility method for viscous incompressible and low Mach number flows
Laboratory of Applied Thermodynamics, Department of Mechanical Engineering, Helsinki University of Technology, Sähkömiehentie 4, FIN-02015 HUT Espoo, Finland1
Within the framework of the pressure-based algorithm, an artificial compressibility method is developed on a non-orthogonal grid for incompressible and low Mach number fluid flow problems, using cell-centered finite-volume approximation. Resorting to the traditional pseudo-compressibility concept, the continuity constraint is perturbed by the time derivative of pressure, the physical relevance of which is to invoke matrix preconditionings.
The approach provokes density perturbations, assisting the transformation between primitive and conservative variables. A dual-dissipation scheme for the pressure–velocity coupling is contrived, which has the expediences of greater flexibility and increased accuracy in a way similar to the monotone upstream-centered schemes for conservation laws approach.
To account for the flow directionality in the upwinding, a rotational matrix is introduced to evaluate the convective flux. Numerical experiments in reference to a few well-documented laminar flows demonstrate that the entire contrivance expedites enhanced robustness and improved overall damping properties of the factored pseudo-time integration procedure.
Copyright © 2008 John Wiley & Sons, Ltd.
Language: | English |
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Publisher: | John Wiley & Sons, Ltd. |
Year: | 2008 |
Pages: | 1320-1340 |
ISSN: | 10970207 and 00295981 |
Types: | Journal article |
DOI: | 10.1002/nme.2302 |