Abstract
Abstract In this article a finite-difference solution method for simulating incompressible two-dimensional and axisymmetric flow problems with rotation and moving boundary is developed. In this method conservative governing equations are approximated by a vertex-based control-volume discretization in a nonstaggered grid. The solutions for velocity field and pressure are coupled in a similar manner to the SIMPLE family. Moving boundaries are solved step by step from the kinematic boundary condition, and the changing flow domain is fitted by a curvilinear coordinate system with an updated grid. To avoid unrealistic distributions of velocity components and pressure, the Rhie-Chow interpolation is employed and the boundary value of pressure on solid surfaces is determined from the local mass conservation. The validation is carried out in simulating two-dimensional lid-driven square cavity flows and rotating coaxial disk flows with and without free surfaces.
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