Abstract least square in omegapsi discretized with piecewise linear conforming elements
Abstract
A fast solver algorithm was obtained for the biharmonic equations by decomposing the equation into a finite number of Dirichlet problems. The set of problems was then applied in a least squares computation of the NavierStokes equations for flow over a backward facing step. The calculations were aided by optimal control theory and a conjugate gradient technique, and solutions were generated on a finite element grid. Details of the programming are provided. It is noted that the vorticity and wall shear stress values generated diverged significantly from expected values.
 Publication:

Analysis of Laminar Flow over a Backward Facing Step
 Pub Date:
 1984
 Bibcode:
 1984alfb.proc..344N
 Keywords:

 Backward Facing Steps;
 Computational Fluid Dynamics;
 Dirichlet Problem;
 Harmonic Functions;
 Least Squares Method;
 NavierStokes Equation;
 Computational Grids;
 Conjugate Gradient Method;
 Finite Element Method;
 Shear Stress;
 Fluid Mechanics and Heat Transfer