Some implementations of projection methods for Navier-Stokes equations

Danchin: On the well-posedness of the full compressible Navier-Stokes system in critical Besov spaces, Journal of Differential Equations, (2015).

We show the stability of the scheme and that the pressure and velocity converge towards a limit when the penalty parameter ε, which induces a small divergence and the time step δt

Keywords Vector penalty-projection method · divergence-free penalty-projection · penalty method · splitting prediction-correction scheme · fast Helmholtz-Hodge decompositions

It is strongly NP -hard to compute a minimizer for the problem (k-CoSP p ), even under the input data restric- tions specified in Theorem 1.. Clearly, if a minimizer was known, we

This approximate method is issued from the Vector Penalty-Projection (VPP r,ε ) methods for the numerical solution of unsteady incompressible viscous flows introduced in [1] and [3]..

An analysis in the energy norms for the model unsteady Stokes problem shows that this scheme enjoys the time convergence properties of both underlying methods: for low value of

A new family of methods, the so-called two-parameter vector penalty-projection (VPP r,ε ) methods, is proposed where an original penalty-correction step for the velocity re- places

on the velocity degenerate into a nonrealistic Neumann boundary condition for the pressure in the case of the usual projection methods [27], the second-order vector