A NETWORK METHOD FOR HOMOGENEOUS, THERMALLY EXPANDABLE 2-PHASE FLOW ON UNSTRUCTURED TRIANGULAR GRIDS

Recently, a numerical method was proposed for the solution of the equa tions of an incompressible fluid on a two dimensional grid consisting of Delaunay triangles. The method utilized the complementary grid of V oronoi polygons, as well as the dual variable reduction scheme develop ed by the authors. In this paper we generalize these ideas to thermall y expandable, homogeneous, two-phase flow. This includes a derivation of the semi-discrete system, and the dual variable methodology that is used to solve it.