Level Set methods introduction
- Eulerian models (ex. stable fluids) do not handle natively free boundaries such as fluid/air.
- Idea: Track surface boundary using implicit surfaces
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- - Encode fluid volume by \(\Omega=\{p\in\mathbb{R}^3, \varphi(p)=0\}\), \(\varphi\) stored within a 3D grid.
- - Solve Navier-Stokes equation within \(\Omega\)
- - Deform fluid volume using implicit surface deformation \(\displaystyle \frac{\partial \varphi}{\partial t}+u\cdot \nabla \varphi=0\)
