An extensional formulation for a diffusive solution of the level-set equation by considering a relation to the scalar conservation equation

Abstract

This paper investigates a relation between the scalar conservation equation and the level-set equation based on Liu's local interface speed model for a premixed combustion flame. A new model formulation is introduced for the source term of the conservation equation in three-dimensional interface phenomena, which gives the solution of the level-set equation coupled with a re-initialization procedure for the physical interface problems governed by conservation law. It may be an extensional formulation for a diffusive solution of the level-set equation.