Improved flux calculations for viscous incompressible flow by the variable penalty method
Abstract
The NavierStokes system for viscous, incompressible flow is considered, taking into account a replacement of the continuity equation by the perturbed continuity equation. The introduction of the approximation allows the pressure variable to be eliminated to obtain the system of equations for the approximate velocity. The penalty approximation is often applied to numerical discretizations since it provides a reduction in the size and bandwidth of the system of equations. Attention is given to error estimates, and to two numerical experiments which illustrate the error estimates considered. It is found that the variable penalty method provides an accurate solution for a much wider range of epsilon than the classical penalty method.
 Publication:

LargeScale Computations in Fluid Mechanics
 Pub Date:
 1985
 Bibcode:
 1985ams..conf...43K
 Keywords:

 Computational Fluid Dynamics;
 Flux;
 Incompressible Flow;
 Penalty Function;
 Viscous Flow;
 Approximation;
 Conservation Equations;
 Continuity Equation;
 Error Analysis;
 NavierStokes Equation;
 Fluid Mechanics and Heat Transfer