Calculation of unsteady two dimensional viscous incompressible flows by spectral methods
Abstract
A method for solving NavierStokes equations in the case of unsteady and incompressible flows is studied. The spectral decomposition of the parameters depending on pressure and speed is performed. The problem of flows showing nil divergence in the velocity fields is considered. The calculation of a two dimensional flow around a wing profile is performed. A coupling algorithm ensuring the continuity of the velocity field and its gradient was developed and tested. The results show that the velocity fields satisfying the incompressibility conditions can be coupled, but the pressure is calculated separately in each field.
 Publication:

NASA STI/Recon Technical Report N
 Pub Date:
 December 1989
 Bibcode:
 1989STIN...9028015F
 Keywords:

 Boundary Layer Equations;
 Incompressible Flow;
 NavierStokes Equation;
 Spectral Methods;
 Two Dimensional Flow;
 Unsteady Flow;
 Algorithms;
 Computational Fluid Dynamics;
 Flow Velocity;
 Pressure Gradients;
 Velocity Distribution;
 Viscous Flow;
 Wing Profiles;
 Fluid Mechanics and Heat Transfer