A velocity-pressure streamline diffusion finite element method for the incompressible Navier-Stokes equations
Abstract
A streamline diffusion finite-element method is introduced for the time-dependent incompressible Navier-Stokes equations in a bounded domain in R squared and R cubed in the case of a flow with a high Reynolds number. An error estimate is proved and numerical results are given. The method is based on a mixed velocity-pressure formulation using the same finite-element discretization of space-time for the velocity and the pressure spaces, which consist of piecewise linear functions, together with certain least-squares modifications of the Galerkin variational formulation giving added stability without sacrificing accuracy.
- Publication:
-
Computer Methods in Applied Mechanics and Engineering
- Pub Date:
- December 1990
- DOI:
- 10.1016/0045-7825(90)90116-4
- Bibcode:
- 1990CMAME..84..175H
- Keywords:
-
- Computational Fluid Dynamics;
- Finite Element Method;
- Incompressible Flow;
- Navier-Stokes Equation;
- Streamlining;
- Error Analysis;
- Flow Velocity;
- Galerkin Method;
- High Reynolds Number;
- Pressure Distribution;
- Time Dependence;
- Fluid Mechanics and Heat Transfer