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Publication 03-CNA-006
Chun Liu Noel J. Walkington Abstract: We consider numerical approximations of
incompressible Newtonian fluids having variable, possibly disocntinuous, density and viscosity. Since solutions of the equations with variable density and viscosity may not be unique,
numerical schemes may not converge. In two dimensions we show that if the solution is unique, then approximate solutions computed using the
discontinuous Galerkin method to approximate the convection of the
density and classical Taylor-Hood approximations ofthe momentum equation converge to the solution. If the solution is not unique a sub-sequence of these approximate solutions will converge to a solution.Get the paper in its entirety as 03-CNA-006.pdf |