Abstract
A general framework is presented for the formulation and analysis of rigid no-slip boundary conditions for numerical schemes for the solution of the incompressible Navier-Stokes equations. It is shown that fractional-step (splitting) methods are prone to introduce a spurious numerical boundary layer that induces substantial time differencing errors. High-order extrapolation methods are analyzed to reduce these errors. Both improved pressure boundary condition and velocity boundary condition methods are developed that allow accurate implementation of rigid no-slip boundary conditions.
| Original language | English |
|---|---|
| Pages (from-to) | 75-111 |
| Number of pages | 37 |
| Journal | Journal of Scientific Computing |
| Volume | 1 |
| Issue number | 1 |
| DOIs | |
| State | Published - Mar 1986 |
| Externally published | Yes |
Keywords
- Computational fluid dynamics
- Poisson equation
- boundary conditions
- extrapolation methods
- fractional step methods
- incompressible flows
- splitting methods
- time-stepping methods