A parallel pressure implicit splitting of operators algorithm applied to flows at all speeds
International Journal for Numerical Methods in Fluids, 36, (5), . (doi:10.1002/fld.140).
A parallel implementation of the pressure-based implicit splitting of operators (PISO) method is described and applied to both compressible and incompressible flows. The treatment of variables at the interfaces between adjacent blocks is highlighted, and, for compressible flow, a straightforward method for the implicit handling of density is described. Steady state and oscillatory flow through a sudden expansion are considered at low speeds for both two- and three-dimensional geometries. Extension of the incompressible method to compressible flow is assessed for subsonic, transonic and supersonic flow through a two-dimensional bump. Although good accuracy is achieved in these high-speed flows, including the automatic capturing of shock waves, the method is deemed unsuitable for simulating steady state high-speed flows on fine grids due to the requirement of very small time steps.
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