An 'assumed deviatoric stress-pressure-velocity' mixed finite element method for unsteady, convective, incompressible viscous flow. II - Computational studies
Abstract
A mixed finite element method based on assumed 'deviatoric stress-velocity-pressure' fields in each element is used to solve several two-dimensional incompressible convective flow problems. For the steady-flow driven cavity problem, two meshes are used, each consisting, respectively, of 108 nodes and a system of 304 equations before the placement of boundary conditions, and 195 nodes and a system of 558 equations. The mesh of 558 equations was used to solve the unsteady-flow driven cavity problem. The steady-state problem of 'Jeffry-Hamel' flow in a converging channel is solved with a mesh of 144 four-noded elements and a system of 482 equations. Flow over a backward or downstream facing step is solved without upwinding using 172 four-noded elements and a system of 574 equations. The steady and unsteady cases of flow over a square step are calculated using 776 and 673 equations. The present results compare favorably with those which are available in the literature.
- Publication:
-
International Journal for Numerical Methods in Fluids
- Pub Date:
- January 1984
- DOI:
- 10.1002/fld.1650040105
- Bibcode:
- 1984IJNMF...4...43A
- Keywords:
-
- Computational Fluid Dynamics;
- Convective Flow;
- Finite Element Method;
- Flow Velocity;
- Stress Distribution;
- Unsteady Flow;
- Viscous Flow;
- Backward Facing Steps;
- Channel Flow;
- Computational Grids;
- Galerkin Method;
- Incompressible Flow;
- Multiphase Flow;
- Pressure Distribution;
- Steady Flow;
- Two Dimensional Flow;
- Fluid Mechanics and Heat Transfer