Zurück zu den Preprints des Jahres 2001


2001-12

Slip with friction and penetration with resistance boundary conditions for the Navier-Stokes equations - numerical tests and aspects of the implementation

by John, V..


Series: 2001-12, Preprints

MSC:
76D05 ~Navier-Stokes equations
65N30 Finite elements, ~Rayleigh-Ritz and Galerkin methods, finite methods

Abstract:
We consider slip with friction and penetration with
resistance boundary conditions in the steady state Navier-Stokes
equations. This paper describes some aspects of the implementation of
these boundary conditions for finite element discretizations. Numerical
tests on two and three dimensional channel flows across a step
using the slip with friction boundary condition study
the influence of the friction parameter on
the position of the reattachment point and
the reattachment line, respectively, of the recirculating vortex.

Keywords:
Navier-Stokes equations, slip with friction boundary condition, penetration with resistance boundary condition, finite element methods