A numerical study on level set based multiphase flow simulation

Abstract

This thesis concerns numerical methods for simulating multiphase flow using level set method. The motion of multiphase flow can be expressed as the incompressible Navier-Stokes equation. First, we survey numerical methods that can approximately solve the governing equations. Also, we introduce level set method for describing interface of fluid and show how to combine level set method with the Navier-Stokes equations. Finally, we show numerical simulation by core-annular flow in horizontal pipe problem.