PDE in time varying domain
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Hello all!
Is it in some way possible to specify a 2D PDE to be solved on a time varying domain? Something like this:
instant t=0: 2D pde on domain(t=0)
instant t=1: 2D pde on domain(t=1)
and so on. The evolution of the domain is known.
thank you!
回答（1 个）
Deepak Ramaswamy
2014-5-29
0 个投票
Patric,
It would be helpful to get details on the PDE formulation that shows how the domain evolves. I assume domain refers to geometry otherwise my comments that follow are not relevant. PDE Toolbox (for 2-D spatial problems) works directly with fixed geometry. Evolving geometries can sometimes be mapped to this fixed geometry via a transformation. Example: Lagrangian formulation for geometrically nonlinear problems. The general idea is to change the PDE (constitutive equations, Boundary conditions) such that the geometry is fixed.
Best, Deepak
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