Abstract
Abstaining from a corrector step of SIMPLE-like algorithms, a coupled pressure-based algorithm is designed using a cell-centered finite-volume Δ-approximation on a collocated grid to predict all-speed fluid flows. A consistently formulated cell-face dissipation scheme is invoked to unravel the occurrence of pressure–velocity decoupling. Modified Rusanov, Roe and Lax–Wendroff flux-difference schemes accompanied by a newly devised differentiable slope limiter function are used to compute inviscid fluxes over the entire spectrum of subsonic to hypersonic flow. Numerical experiments in reference to incompressible and compressible flows demonstrate that the proposed algorithm maintains an excellent consistency with analytic solutions and available literature data. The method is anticipated to be stable for an extensive range of Mach numbers with an avoidance of under-relaxation (UR) factors.
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