WENOスキームを用いた界面捕獲法による界面不安定解析

抄録

This paper presents numerical simulations of the interface instability in consideration of surface tension effects using a new surface capturing method that has been developed by the present Authors. The surface capturing method is based on the high order WENO scheme. This method couples the incompressible Navier-Stokes equations with the VOF method, and takes account of the surface tension using the continuum surface force method. The present surface capturing method is applied to a Rayleigh-Taylor instability problem. The growth rate of interface obtained by inviscid flow simulations is in good agreement with the theoretical result. In the viscous flow simulations, the interface grows into the shape of a mushroom with time, and the rolling of vortex is observed in the interface tip. The numerical smearing caused by the numerical diffusion occurs around the interface.