An efficient second-order projection method for viscous incompressible flow
Abstract
In this paper we describe a second-order projection method for the time-dependent, incompressible Navier-Stokes equations. The method is a second-order fractional step scheme in which one first solves diffusion-convection equations 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. We apply the method to vortex spindown in a box to validate the numerical convergence of the method and to measure its overall performance.
- Publication:
-
Space Manufacturing 8 - Energy and Materials from Space
- Pub Date:
- April 1991
- Bibcode:
- 1991aiaa.confR..24B
- Keywords:
-
- Convection;
- Diffusion;
- Incompressible Flow;
- Iterative Solution;
- Viscous Flow;
- Navier-Stokes Equation;
- Numerical Analysis;
- Fluid Mechanics and Heat Transfer