電腦圖學中流體噴濺、泡沫與氣泡模擬方法探討

Abstract

本論文的主軸，在於探討電腦圖學中流體模擬的發展與演變，並找出直到現今，在流體模擬的視覺表現上，仍舊缺乏或難以妥善處理的地方。首先須了解流體力學的基礎理論與公式，再研究數十年來以電腦模擬流體動態的各種方法，每一個重大突破改善了前一種方法的哪些不足之處。不過，雖然最新的方法已經可以幾近真實的以電腦圖學理論模擬流體動態，但在處理噴濺、泡沫、與氣泡上，卻與真實水中這些效果的呈現有所差距。本文也探討了當今主流的各種模擬方法，並透過Blender套件實作倒水、河流、與海浪等不同場景的呈現效果，比較其差異並找出各場景最適合的方法。

The main goal of this thesis is finding out the shortcomings of the visual result of fluid simulation in computer graphics until now, after studying the progression and history of it. First, we need to understand the basic theories and formulas of hydromechanics. Then do the research of all kinds of methods of computer simulating the fluid motion and figure out how every important breakthrough improve the method before it. However, the newest method can simulate fluid motion using computer graphics theories almost like real water, but it still has difficulty simulating spray, foam and bubble. We also studied the mainstream simulation methods nowadays and created scenes in different scales such as scene of pouring water into a glass, river, and wave on the beach with these methods using Blender. In the end, we provide the best choice of method of each scene.