等位函數處理兩相流的數值研究

Abstract

本論文介紹使用等位函數結合Navier-Stokes方程處理兩相流問題的方法，尤其是針對幾何結構有較大變動的流體，展現了良好的掌握能力。我們使用WENO五階精度來處理空間項，以及TVD Runge-Kutta三階精度來處理時間項。此外，我們也嘗試使用等位函數來處理Moving Contact Line的問題。在最後，我們給了許多流體的例子，來觀察使用等位函數的優點。

In this paper, we introduce that how to use level set function and Navier-Stokes equations to solve two phase flows problems. Here, we will show the efficiency of level set methods describe interface with large topological change. We use Hamilton-Jacobi WENO, which allows us to discretize the spatial terms to fifth-order accuracy. And we use TVD Runge-Kutta which is third-order accurate in time. Additionally, we attempt to use level set function to solve moving contact line problem. Finally, we show many numerical examples of two phase flow and verify the excellence of level set function.