Simulation of flow and heat transfer with phase boundaries and complex geometries on cartesian gridas

摘要

Thsi paper is an extension of our previous work on simulation of complex phase front evolution in the diffusion-dominated situation. The Navier-Stokes equations are solved using a finite-volume method based on a second-order accurate central-difference scheme in conjunction with a two-step fractional-step procedure. The key aspects that need to be considered in developing such a solver are impoition of boundary conditions on the immersed boundaries and accurate discretization of the governing equation in cells that are cut by these boundaries.