An 'assumed deviatoric stresspressurevelocity' mixed finite element method for unsteady, convective, incompressible viscous flow. II  Computational studies
Abstract
A mixed finite element method based on assumed 'deviatoric stressvelocitypressure' fields in each element is used to solve several twodimensional incompressible convective flow problems. For the steadyflow 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 unsteadyflow driven cavity problem. The steadystate problem of 'JeffryHamel' flow in a converging channel is solved with a mesh of 144 fournoded elements and a system of 482 equations. Flow over a backward or downstream facing step is solved without upwinding using 172 fournoded 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