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Consistent second-order time-accurate non-iterative PISO-algorithm. (English) Zbl 1390.76525

Summary: A new variant of the non-iterative PISO-algorithm for the solution of implicitly discretised fluid flow equations is proposed. The governing equations are discretised in space using a second-order accurate finite volume method. A second-order accurate three-level implicit temporal discretisation scheme is used to discretise the momentum equation, where the non-linear convection term is linearised using a second-order explicit approximation of mass flux at the new time level, based on the results from previous two time steps. In order to ensure temporal consistency on collocated meshes, a consistent Rhie-Chow interpolation for the computation of mass fluxes is used, which is here extended to moving meshes. The proposed non-iterative PISO-algorithm is tested on three fixed and moving mesh test cases, demonstrating its second order accuracy in time.

MSC:

76M12 Finite volume methods applied to problems in fluid mechanics
65M08 Finite volume methods for initial value and initial-boundary value problems involving PDEs

Software:

OpenFOAM
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Full Text: DOI

References:

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