Solution of the NavierStokes equations by a spectral method of subdomains
Abstract
A numerical method for solution of the NavierStokes equations for unsteady, incompressible viscous flows over complex geometries is presented. The technique involves definition of two subdomain ensembles. The subdomains have a curved, twodimensional geometry, and overlap. Calculations are carried out to solve for the pressure, the pressure fluctuations, and the Poisson problem. A spectral method is used in the solution of the Poisson problem, with a finite difference scheme being imposed on the reference domain before the division into subdomains. Limiting conditions are imposed on the internal and external boundaries. An example is provided in the form of a flow through a channel with a backward facing step. The results are in accord with those obtained with the finite element method, and were obtained with a faster convergence.
 Publication:

NASA STI/Recon Technical Report A
 Pub Date:
 1983
 Bibcode:
 1983STIA...8336428M
 Keywords:

 Computational Fluid Dynamics;
 Domains;
 Incompressible Flow;
 NavierStokes Equation;
 Spectral Methods;
 Finite Difference Theory;
 Laminar Flow;
 Pressure Distribution;
 Two Dimensional Flow;
 Velocity Distribution;
 Fluid Mechanics and Heat Transfer