Finite element solution of 3D viscous flow using non standard degrees of freedom
Abstract
Velocity-pressure finite element methods for solving incompressible flow problems in three-dimension space are studied. The velocity is defined by means of a new type of degree of freedom involving a suitable real parameter. Though nonconforming in velocity, optimal convergence results can be proven for both methods. Numerical experiments for cavity problems in laminar flow confirm these theoretical predictions and illustrate a good performance of the methods.
- Publication:
-
IN: Numerical methods in laminar and turbulent flow; Proceedings of the Fourth International Conference
- Pub Date:
- 1985
- Bibcode:
- 1985nmlt.proc..492R
- Keywords:
-
- Computational Fluid Dynamics;
- Degrees Of Freedom;
- Finite Element Method;
- Incompressible Flow;
- Three Dimensional Flow;
- Viscous Flow;
- Computational Grids;
- Convergence;
- Laminar Flow;
- Pressure Distribution;
- Velocity Distribution;
- Fluid Mechanics and Heat Transfer