Title
Numerical Treatment of the Navier--Stokes Equations with Slip Boundary Condition
Abstract
In this article we present efficient numerical methods for the Navier--Stokes equations with slip boundary conditions. A first method is based on a saddle-point formulation of the slip boundary condition. A congruent gradient (CG) method is applied to the Schur complement operator in order to solve the problem. We present two preconditioners for the CG-method which result in convergence rates independent of the mesh size. For a second method the slip boundary condition is enforced pointwise for nodal values of the velocity at boundary nodes.
Year
DOI
Venue
2000
10.1137/S1064827598343991
SIAM Journal on Scientific Computing
Keywords
Field
DocType
stokes equation,efficient numerical method,nodal value,slip boundary condition,numerical treatment,saddle-point formulation,stokes equations,mesh size,congruent gradient,convergence rate,boundary node,finite elements
Boundary knot method,Boundary value problem,Robin boundary condition,No-slip condition,Mathematical analysis,Poincaré–Steklov operator,Singular boundary method,Neumann boundary condition,Mathematics,Mixed boundary condition
Journal
Volume
Issue
ISSN
21
6
1064-8275
Citations 
PageRank 
References 
2
0.48
0
Authors
2
Name
Order
Citations
PageRank
Eberhard Bänsch114135.47
Burkhard Höhn220.48