Viscous flow over backward facing steps  Computations with the LEONARD and the TEACH algorithms
Abstract
The effectiveness of various finite difference (FD) and finite element models (FEM) for simulating twodimensional incompressible laminar flows over a backward facing step is discussed. The comparisons were made in terms of the success at generating solutions for the vorticity equation and the Poisson equation for the stream function for the FD model. Consideration focussed on solving equations for the horizontal and vertical velocity and pressure terms for the FEM calculations. Results are provided for the convergence time, wall shear stress, evolution of the maximum velocity, and the streamline patterns for three flow conditions.
 Publication:

Analysis of Laminar Flow over a Backward Facing Step
 Pub Date:
 1984
 Bibcode:
 1984alfb.proc..317K
 Keywords:

 Backward Facing Steps;
 Computational Fluid Dynamics;
 Finite Difference Theory;
 Finite Element Method;
 Laminar Flow;
 Viscous Flow;
 Algorithms;
 Computer Programs;
 Incompressible Flow;
 Stream Functions (Fluids);
 Two Dimensional Flow;
 Vorticity Equations;
 Fluid Mechanics and Heat Transfer