Summary
In this article we briefly discuss a fictitious domain method for the numerical solution of the Navier-Stokes equations modelling incompressible viscous flow. The methodology described here takes a systematic advantage of time discretization by operator splitting in order to treat separately advection and incompressibility; it seems well suited to moving boundary flow problems. Indeed, due to the decoupling, fast elliptic solvers can be used to treat the incompressibility condition even if the original problem is taking place on a non regular geometry. Preliminary numerical results show that this new method looks quite promising.
An erratum to this chapter is available at http://dx.doi.org/10.1007/978-3-662-10326-5_66)
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Glowinski, R., Pan, T.W., Periaux, J., Ravachol, M. (1991). A Fictitious Domain Method for the Incompressible Navier-Stokes Equations. In: Oñate, E., Periaux, J., Samuelsson, A. (eds) The finite element method in the 1990’s. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-10326-5_41
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DOI: https://doi.org/10.1007/978-3-662-10326-5_41
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