Navier Stokes equation with free boundaries
The efficient solution of the Navier Stokes equation provides many challenges. Of particular interest is the efficient description and implementation of free boundaries.
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Investigate the methods for solving the Navier Stokes equation. Consider implementation issues. Look at general computational Fluid Dynamical methods and apply this to the solution of the Navier Stokes equation with free boundaries. n particular high order methods based on the Discontinuous Galerkin method.