Calculation of flow over a backward facing step
Abstract
A method of characteristics was applied in a fractional step scheme to formulate two algorithms for solving the NavierStokes equations for steady flow over a backward facing step. The trajectories of particles were calculated at each time step, and a fourth order RungeKutta scheme was used to integrate velocity values at each substep of the convective characteristics expressed as finite elements. Boundary conditions were defined for the pressure term in the Stokes problem, which was solved in sequential diffusion and continuity steps and simulated on a curved mesh in a finite difference formulation. The codes yielded similar velocity and pressure fields. The results are taken as validation of the finite element method, which was developed more recently than the finite difference scheme for applications involving the NavierStokes equations.
 Publication:

Analysis of Laminar Flow over a Backward Facing Step
 Pub Date:
 1984
 Bibcode:
 1984alfb.proc..268G
 Keywords:

 Backward Facing Steps;
 Computational Fluid Dynamics;
 Flow Velocity;
 Method Of Characteristics;
 NavierStokes Equation;
 Steady Flow;
 Finite Difference Theory;
 Finite Element Method;
 Particle Trajectories;
 RungeKutta Method;
 Fluid Mechanics and Heat Transfer