Plasma and Fusion Research

Volume 3, S1052 (2008)

Regular Articles

Derivation of Jump Conditions in Multiphase Incompressible Flows with Singular Forces
Caesar O. HARAHAP and Hideaki MIURA1)
The Graduate University for Advanced Studies (SOKENDAI), Toki 509-5292, Japan
1)
National Institute for Fusion Science, Toki 509-5292, Japan
(Received 21 November 2007 / Accepted 10 March 2008 / Published 1 August 2008)

Abstract

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.

Keywords

discontinuity, jump condition, immersed interface method

DOI: 10.1585/pfr.3.S1052

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This paper may be cited as follows:

Caesar O. HARAHAP and Hideaki MIURA, Plasma Fusion Res. 3, S1052 (2008).