應用volume-of-fluid approach 模擬不可壓縮流通過固體

Abstract

在這篇論文中，我們先複習流體方程的傳統數值方法，進而發展了一個由投影法及流體體積估計法所組成的簡單二階精確的方法，並將流體與固體看成雙流體來模擬流體通過固體的情形。在處理流體方程時，主要架構是隱式的投影法，而流體通過固體的速度，則在中間步驟引入流體體積估計法作修正。這個方法有效地模擬了流體通過靜止固體的情形，以及其相關的物理量。

In this thesis, we first review some traditional numerical methods of fluid equations. Second, we develop a simple second-order scheme which combined by the projection method and volume-of-fluid approach(VOF) to simulate the flow around a solid body by treating the fluid-solid as a binary fluid. The fluid equations are constructed by an implicit version of the projection method where velocities are modified in the intermediate step by the presence of the solid body. This method is validated by the simulation of the fluid around a solid body and physical quantities.