A Split-Step Scheme for the Incompressible Navier-Stokes
We describe a split-step finite-difference scheme for solving the incompressible Navier-Stokes equations on composite overlapping grids. The split-step approach decouples the solution of the velocity variables from the solution of the pressure. The scheme is based on the velocity-pressure formulation and uses a method of lines approach so that a variety of implicit or explicit time stepping schemes can be used once the equations have been discretized in space. We have implemented both second-order and fourth-order accurate spatial approximations that can be used with implicit or explicit time stepping methods. We describe how to choose appropriate boundary conditions to make the scheme accurate and stable. A divergence damping term is added to the pressure equation to keep the numerical dilatation small. Several numerical examples are presented.
- Research Organization:
- Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
- Sponsoring Organization:
- US Department of Energy (US)
- DOE Contract Number:
- W-7405-ENG-48
- OSTI ID:
- 15006271
- Report Number(s):
- UCRL-JC-144040; TRN: US200407%%168
- Resource Relation:
- Conference: Workshop on Numerical Simulations of Incompressible Flows, Half Moon Bay, CA, 06/19/2001--06/21/2001; Other Information: PBD: 12 Jun 2001
- Country of Publication:
- United States
- Language:
- English
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