Derivation of Jump Conditions in Multiphase Incompressible Flows with Singular Forces

抄録

For conducting numerical simulations of plasma dynamics consisting of multiple phases, a new immersed interface method (IIM) scheme to solve multiphase flows with different viscosities and densities is being developed. The jump conditions for velocity, pressure, and their derivatives necessary for the finite difference approximations in the IIM are derived. The derivation results in sets of coupled equations that can be solved numerically by an iterative method.