上流型有限要素法による非圧縮性二流体モデルの数値解析

抄録

This paper presents a two-dimensional upstream finite element method for an incompressible two-fluid model. The solution algorithm is based on a fractional step method, and the Petrov-Galerkin method using an exponential weighting function is employed for the formulation. Quadrilateral element with four nodes is used for the discretization of calculating domain. The present method is applied to the simulation of air-water two-phase flows around a rectangular cylinder located in a plane channel. The predicted flows exhibit a periodical change including the von Karman vortices. The volumetric fraction of the gas-phase takes maximum at the center of the vortices, where the pressure reaches minimum. These results are favorably compared with the existing calculations by a finite difference method, showing the present method's applicability to the two-phase flow analyses.