本文選題：穩(wěn)定流 + SPH　； 參考：《湖南師范大學(xué)》2010年碩士論文

【摘要】： 隨著影視、游戲和虛擬現(xiàn)實(shí)行業(yè)的迅速發(fā)展,這些行業(yè)對(duì)新技術(shù)、新效果有了更多的追求,好的效果能帶給人們更多的身臨其境的感受。 在影視、游戲和虛擬現(xiàn)實(shí)領(lǐng)域,基于物理的模擬在特效制作中漸漸成為主流。一方面,人們追求更高質(zhì)量的特效,物理模型能夠更好的反應(yīng)物理規(guī)律,呈現(xiàn)更自然的活動(dòng)規(guī)律；另一方面,早期的特效制作耗費(fèi)成本很大。例如建立一個(gè)城堡模型,通常是建一個(gè)按比例縮放的真實(shí)模型,然后采用一系列手段來產(chǎn)生真實(shí)的效果,效率低下。流體模擬作為影視動(dòng)漫特效的重要元素,具有重要意義。例如在《怪物史萊克》,《指環(huán)王》,《水世界》等電影大片中,流體模擬震撼人心,游戲行業(yè)同樣也極為重視流體模擬的實(shí)時(shí)效果。 由于流體模擬的建模和模擬計(jì)算復(fù)雜,方法眾多,本文在對(duì)前人方法的總結(jié)和歸納的基礎(chǔ)上提出了一種新的耦合的計(jì)算模型來模擬兩種流體的交互。文中比較歐拉方法和拉格朗日方法各自的優(yōu)劣,對(duì)流體受熱運(yùn)動(dòng)進(jìn)行了深入分析,把整個(gè)運(yùn)動(dòng)分為兩部分：第一部分是溫度場(chǎng)自身的溫度擴(kuò)散和對(duì)流產(chǎn)生的速度,第二部分是流體自身所受的壓力、浮力、粘滯力、表面張力等。綜合這兩部分的計(jì)算特點(diǎn),分別使用穩(wěn)定流方法和SPH方法來進(jìn)行模擬計(jì)算,然后建立數(shù)學(xué)模型對(duì)這兩種方法進(jìn)行耦合。同時(shí)這種耦合的方式能修正N-S方程,以達(dá)到使流體運(yùn)動(dòng)更自然的效果,然后使用Maching cubes算法來進(jìn)行表面重構(gòu),最后繪制等值面,使用光照模型進(jìn)行光照計(jì)算機(jī),實(shí)現(xiàn)真實(shí)感效果,能取得比Level Set方法更優(yōu)的時(shí)間效率。 本文第一章簡述了流體模擬的發(fā)展歷史和前人的研究成果,第二章介紹了基于物理模型的流體模擬的理論基礎(chǔ),第三章針對(duì)流體受熱運(yùn)動(dòng)進(jìn)行理論分析、建立物理模型,對(duì)歐拉和拉格朗日方法進(jìn)行耦合。第四章實(shí)現(xiàn)模擬過程,并針對(duì)熱傳播過程修正物理模型,給出實(shí)驗(yàn)結(jié)果。第五章是對(duì)實(shí)驗(yàn)的分析和對(duì)理論發(fā)展的展望。
[Abstract]:With the rapid development of film and television, game and virtual reality industry, these industries have more pursuit of new technology and new effect. In the field of film and television, games and virtual reality, physical-based simulation is gradually becoming the mainstream in the production of special effects. On the one hand, people seek higher quality special effects, physical models can better reflect the physical laws, showing a more natural law of activity; on the other hand, the early special effects production costs a lot. For example, building a castle model, usually a scale scale real model, and then using a series of measures to produce real effects, inefficient. Fluid simulation as an important element of video animation special effects, has important significance. In movie blockbusters such as Shrek, Lord of the Rings, and the World of Water, fluid simulation is striking, and the game industry also attaches great importance to the real-time effects of fluid simulation. Because the modeling and simulation of fluid simulation is complicated and there are many methods, this paper presents a new coupled computational model to simulate the interaction of two kinds of fluids based on the summary and induction of previous methods. In this paper, the advantages and disadvantages of Euler method and Lagrangian method are compared, and the fluid heated motion is deeply analyzed. The whole motion is divided into two parts: the first part is the velocity of temperature diffusion and convection in the temperature field itself. The second part is the pressure, buoyancy, viscous force, surface tension and so on. Based on the characteristics of the two parts, the steady flow method and the SPH method are used to simulate the two methods, and then a mathematical model is established to couple the two methods. At the same time, the N-S equation can be modified in order to make the fluid move more naturally. Then the surface is reconstructed by using Maching cubes algorithm. Finally, the isosurface is drawn, the illumination model is used to illuminate the computer, and the realistic effect is realized. It can achieve better time efficiency than Level Set method. In the first chapter, the development history of fluid simulation and the previous research results are briefly introduced. In chapter 2, the theoretical basis of fluid simulation based on physical model is introduced. In chapter 3, the theoretical analysis of fluid heated motion is carried out, and the physical model is established. Euler and Lagrange methods are coupled. In chapter 4, the simulation process is realized, and the physical model is modified for the heat propagation process, and the experimental results are given. The fifth chapter is the analysis of the experiment and the prospect of the development of the theory.
【學(xué)位授予單位】：湖南師范大學(xué)
【學(xué)位級(jí)別】：碩士
【學(xué)位授予年份】：2010
【分類號(hào)】：O35;TP391.9

【引證文獻(xiàn)】

相關(guān)碩士學(xué)位論文 前1條

1 蔡振雷;氣淬液態(tài)鋼渣換熱規(guī)律的研究[D];河北聯(lián)合大學(xué);2013年

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本文編號(hào)：1817717