Improvements of Vortex in Cell Method for Incompressible Flow Simulation

概要

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This study is concerned with the improvements of the Vortex in Cell (VIC) method for incompressible flow simulation. A discretization method employing a staggered grid is proposed to ensure the consistency between the discretized equations as well as to prevent the numerical oscillation of the solution. A method to modify the vorticity is presented to compute the vorticity field satisfying the solenoidal condition. A single-stage calculation method for the convection of vortex element is also proposed to reduce the computational time. To demonstrate the validity and applicability of these methods, the flows in a cubic cavity are simulated by the VIC method. The simulation demonstrates that the solenoidal condition for the vorticity is satisfied and that the velocity fields are in good agreement with the existing results. The Taylor-Görtler-Like vortices are successfully captured at Re=3200. It is also confirmed that the calculation for the convection of vortex element requires less computational time than the 2-stage Runge-Kutta method.
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