The computation of inviscidviscous coupled equations by a finite element method
Abstract
The NavierStokes equations were computed numerically for two dimensional steady incompressible flow. The calculation domain is divided into two areas, one where the fluid is considered viscous and the other where it is considered inviscid. A method using a finite flow and vortex element is used to solve the equation  delta psi=omega throughout the domain of inviscid flow with omega kept at zero, and to solve the vortex diffusion convection equation in the viscous area. The vortex error was estimated by replacing the full problem by the coupled problem. The algorithm which uses a conjugate gradient method to solve the diffusion convection equation is described. The numerical data for a symmetrical NACA 0012 profile is given. Different calculations are compared by moving the coupling boundary for a Reynolds number of 400.
 Publication:

Ph.D. Thesis
 Pub Date:
 1983
 Bibcode:
 1983PhDT........30L
 Keywords:

 Computational Fluid Dynamics;
 Finite Element Method;
 NavierStokes Equation;
 Two Dimensional Flow;
 Algorithms;
 Conjugate Gradient Method;
 Error Analysis;
 Incompressible Flow;
 Inviscid Flow;
 Steady Flow;
 Viscous Flow;
 Vortices;
 Fluid Mechanics and Heat Transfer