P36

A Summary For the Day

  • The Eulerian grid presentation is very friendly with finite differencing. This makes calculus a lot easier.

  • For velocity fields, we can use staggered grid.

  • For low-speed, incompressible, viscous flow, we need to solve the Navier-Stokes equations.

  • To solve the equations, we can do this in step-by-step (method of characteristics).

  • To simulate air and water, we need to advect some physical quantities.

    • Smoke (density); water (volume-of-fluid, or signed distance function)
    • Volume loss issue in water (how to fix it?)
    • If you need to create a mesh from grid for rendering, you need something like marching cube.

✅ 用有限元方法也能模拟水,但难以模拟流动性。流动需要对四面体重新构造,成本很高。


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