精華區beta Physics 關於我們 聯絡資訊
※ 引述《LucasArt (納粹3K黨的信徒覺悟吧)》之銘言: : This equation models the changes in the velocity field over time : due to the effects of viscosity 黏度(v), convection對流, density 密度(P),pressure壓力 (p), and gravity重力 (g). By solving (3.1) and (3.2) over time, : we can model the behavior of a volume of liquid. The new : algorithm we are proposing to do this consists of six 上述代號的解釋對嗎 (我查字典的),又在 公式中有何作用? 會對電腦模擬產生何種影響 : straightforward steps: : I. Model the static environment as a voxel grid. (Voxel Grid?不懂) : II. Model the liquid volume using a combination of : particles and an implicit surface (implicit surface? 不懂). : Then, for each simulation time step : III. Update the velocity field by solving 圖03 using finite : differences combined with a semi-Lagrangian method. : IV. Apply velocity constraints due to moving objects. : V. Enforce incompressibility by solving a linear system : built from 圖WaterEquation02 或 03 : VI. Update the position of the liquid volume (particles and : implicit surface) using the new velocity field. : Velocity是不是當速率,但在圖 : http://home.pchome.com.tw/world/blueharvest/WaterEquation03.jpg
: 這張圖裡,velocity好像又不是當速度解 : 因為在解釋步驟 I.的原文裡是講到 (下文) 1.velocity倒底是什麼? 因為圖3有提到 3 of it's six 'face velocity'. 2."conversation of mass"又是什麼? 3.'Isocontour' 又是指? (請看下圖) http://home.pchome.com.tw/world/blueharvest/isocontour.jpg
好難懂,我都是卡在一堆物理學或數學名詞不懂(查字典是有,但 是要了解意義並不只是知道中文翻成什麼,翻成中文只是中文字, 我還是不懂它的含義與用法). 流態力學真是不好懂 : Static Environment : Equations (圖2) and (圖3) model a liquid as two coupled dynamic : fields, velocity and pressure. The motion of the liquid we are : modeling will be determined by evolving these fields over time. : We start by representing the environment that we want the liquid : to move in as a rectangular grid of voxels with side length .o. The : grid does not have to be rectangular, but the overhead of unused : (non-liquid containing) cells will be low and so it is convenient. : Each cell has a pressure variable at its center and shares a velocity : variable with each of its adjacent neighbors (see figure 2). This : velocity is defined at the center of the face shared by the two : neighboring cells and represents the magnitude of the flow normal : to that face. This is the classic "staggered" MAC grid [15]. Each : cell is then either tagged as being empty (available to be filled : with liquid) or filled completely with an impermeable static : object. Despite the crude voxelized approximation of both objects : and the liquid volume itself, we'll show that we can still obtain : and track a smooth, temporally coherent liquid surface. : 麻煩各位高手指點一下對物理很不拿手的小弟,感激不盡 : 詳全文,可以下列位址下載PDF: : http://graphics.stanford.edu/%7Efedkiw/papers/stanford2001-02.pdf -- ※ Origin: 臺大電機 Maxwell 站 ◆ From: u46-74.u203-204.giga.net.tw