發信人LucasArt@bbs.ee.ntu.edu.tw (納粹3K黨的信徒覺悟吧),
看板Physics
標 題Re: 有人懂的水的物理數學方程式嗎 ?
發信站台大電機 Maxwell BBS (Wed Jan 8 13:42:19 2003)
轉信站Ptt!news.ntu!bbs.ee.ntu!Maxwell
※ 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