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Domain embedding methods for incompressible viscous flow around moving rigid bodies. (English) Zbl 0946.76072

Summary: We discuss the application of a Lagrange multiplier based domain embedding method (also called fictitious domain method) to the numerical simulation of incompressible viscous flows modelled by the Navier-Stokes equations around moving bodies. The solution method combines finite element approximations, time discretization by operator splitting, and conjugate gradient algorithms for the solution of the linearly constrained quadratic minimization problems coming from the splitting method. The results of several numerical experiments for two-dimensional flow around a moving disk are presented.

MSC:

76M25 Other numerical methods (fluid mechanics) (MSC2010)
76D05 Navier-Stokes equations for incompressible viscous fluids
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