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Exploring SIMPLE algorithm for all speeds
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DOI：10.1016/j.asej.2022.101854.png)
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Abstract
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The segregated SIMPLE algorithm is developed on a curvilinear collocated grid using a cell-centered finite-volume D-formulation to speculate all-speed fluid flows. The occurrence of velocity-pressure decoupling is unraveled by invoking a consistently formulated dual-dissipation scheme. A modified flux-difference scheme calculates viscous fluxes at all speeds. A local Mach number based indicator is ini-tiated to impose a constraint on the actual state of compressibility, related to the density-updating in the corrector step of SIMPLE algorithm. The positivity in influence coefficients' diagonal-dominance with the corrector step is guaranteed by the current contrivance, preventing the need for an under-relaxation (UR) factor. For a selected low Mach number flow, comparisons reveal the relevance of incompressible approach, sprung from the unique compressible solver. (c) 2022 THE AUTHORS. Published by Elsevier BV on behalf of Faculty of Engineering, Ain Shams Uni-versity. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/).
Keywords:
SIMPLE algorithm
Under-relaxation
Compressibility
Diagonal dominance
Convergence and robustness
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