2 - Advection
Advection = move some function along given velocity \(u\).
- - Advecting a scalar field \(f\) along \(u\)
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- \(\displaystyle \frac{\partial f}{\partial t}(p,t) + u(p,t) \cdot \nabla f = 0\)
- - Advecting a vector field \(f\) along \(u\)
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- \(\displaystyle \frac{\partial f}{\partial t}(p,t) + (u(p,t) \cdot \nabla)\, f = 0\)
- - In Navier-Stokes advect the velocity itself \(f=u\)
- - Can also advect density, color, texture coordinates, etc. to visualize the motion.
