Numerical Simulation of Free Seepage Flow on Non-matching Grids
نویسندگان
چکیده
A new domain decomposition technique on non-matching grids for free boundary problems is considered. An iterative DD scheme is used to reduce the original free boundary problem to a sequence of problems on two sub-domains, one of which includes the free boundary and is described by a variational inequality and the other includes the remainder of the problem and is described by a second order partial differential equation. In the sub-domain which contains the free boundary, a fine grid is utilized in order to capture the free boundary more precisely; while in the other sub-domain, a coarse grid is used in order to speed up the computation. At each step of the iteration, two sub-problems are solved by using a Robin boundary condition on the interface.
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