# A simple finite difference method for time-dependent, variable coefficient Stokes flow on irregular domains

@inproceedings{Batty2010ASF, title={A simple finite difference method for time-dependent, variable coefficient Stokes flow on irregular domains}, author={Christopher Batty and Robert Bridson}, year={2010} }

We present a simple and efficient variational finite difference method for simulating time-dependent Stokes flow in the presence of irregular free surfaces and moving solid boundaries. The method uses an embedded boundary approach on staggered Cartesian grids, avoiding the need for expensive remeshing operations, and can be applied to flows in both two and three dimensions. It uses fully implicit backwards Euler integration to provide stability and supports spatially varying density and… CONTINUE READING

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