We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
OPERATOR SPLITTING METHODS FOR THE NAVIER-STOKES EQUATIONS WITH NONLINEAR SLIP BOUNDARY CONDITIONS.
- Authors
Yuan Li; Kaitai Li
- Abstract
In this paper, the θ scheme of operator splitting methods is applied to the Navier-Stokes equations with nonlinear slip boundary conditions whose variational formulation is the variational inequality of the second kind with the Navier-Stokes operator. Firstly, we introduce the multiplier such that the variational inequality is equivalent to the variational identity. Subsequently, we give the θ scheme to compute the variational identity and consider the finite element approximation of the θ scheme. The stability and convergence of the θ scheme are showed. Finally, we give the numerical results.
- Subjects
NUMERICAL solutions to Navier-Stokes equations; NUMERICAL solutions to operator equations; NONLINEAR statistical models; APPROXIMATION theory; STOCHASTIC convergence; FINITE element method; BOUNDARY element methods; MULTIPLIERS (Mathematical analysis); NUMERICAL analysis
- Publication
International Journal of Numerical Analysis & Modeling, 2010, Vol 7, Issue 4, p785
- ISSN
1705-5105
- Publication type
Article