A finite element approximation of Navier-Stokes equations for incompressible viscous fluids - Iterative methods of solution
Abstract
A method is presented for the numerical solution of the steady and unsteady Navier-Stokes equations for incompressible viscous fluids. The method is based on a mixed finite element approximation with a pressure-velocity formulation; a time discretization by finite differences for the unsteady problem; and an iterative method using a conjugate gradient algorithm with scaling (the scaling makes fundamental use of an efficient Stokes solver). Numerical results are presented and analyzed; and a new upwind finite element approximation is introduced.
- Publication:
-
Approximation Methods for Navier-Stokes Problems
- Pub Date:
- 1980
- Bibcode:
- 1980appm.proc...78B
- Keywords:
-
- Approximation;
- Computational Fluid Dynamics;
- Finite Element Method;
- Incompressible Flow;
- Iterative Solution;
- Navier-Stokes Equation;
- Viscous Flow;
- Channel Flow;
- Finite Difference Theory;
- Flow Distribution;
- Least Squares Method;
- Steady Flow;
- Two Dimensional Flow;
- Unsteady Flow;
- Variational Principles;
- Fluid Mechanics and Heat Transfer