An efficient second-order projection method for viscous incompressible flow
Abstract
A second-order projection method for the time-dependent, incompressible Navier-Stokes equations is described. The method is a second-order fractional step scheme in which diffusion-convection equations are first solved to determine intermediate velocities which are then projected onto the space of divergence-free vector fields. The diffusion-convection step uses a specialized second-order Godunov method for differencing the nonlinear convective terms that is conservative and free-stream preserving and provides a robust treatment of the nonlinearities at high Reynolds number. The projection is based on cell-centered centered difference approximations to divergence and gradient operators with the resulting linear system solved using a multigrid relaxation scheme. The method is applied to vortex spindown in a box to validate the numerical convergence of the method and to measure its overall performance.
- Publication:
-
10th Computational Fluid Dynamics Conference
- Pub Date:
- 1991
- Bibcode:
- 1991cfd..conf..360B
- Keywords:
-
- Incompressible Flow;
- Turbulent Diffusion;
- Vector Spaces;
- Viscous Flow;
- High Reynolds Number;
- Operators (Mathematics);
- Robustness (Mathematics);
- Fluid Mechanics and Heat Transfer