Abstract least square in omega-psi 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 Navier-Stokes 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;
- Navier-Stokes Equation;
- Computational Grids;
- Conjugate Gradient Method;
- Finite Element Method;
- Shear Stress;
- Fluid Mechanics and Heat Transfer