Viscous flow simulation by finite element methods and related numerical techniques
Abstract
Numerical techniques for the solution of the Navier-Stokes equations (NSEs) for incompressible viscous fluids are reviewed and demonstrated. Consideration is given to time discretization by operator splitting methods, solution methods for nonlinear subproblems, the solution of the quasi-Stokes linear subproblems, finite-element approximations of the unsteady NSEs, flow-simulation techniques, the formulation and solution of the NSEs for compressible viscous fluids, and the range of problems solvable by the supercomputers being developed at present. Numerical results for a channel with a backward-facing step and for high-incidence nozzle flows are presented graphically.
- Publication:
-
IN: Progress and supercomputing in computational fluid dynamics; Proceedings of U.S.-Israel Workshop
- Pub Date:
- 1985
- Bibcode:
- 1985pscf.proc..173G
- Keywords:
-
- Computational Fluid Dynamics;
- Finite Element Method;
- Navier-Stokes Equation;
- Viscous Flow;
- Backward Facing Steps;
- Convergence;
- Incompressible Flow;
- Iterative Solution;
- Least Squares Method;
- Nozzle Flow;
- Numerical Stability;
- Supercomputers;
- Fluid Mechanics and Heat Transfer