Inhomogeneous flow calculations by spectral methods  Monodomain and multidomain techniques
Abstract
A spectral expansion in time technique is proposed in order to overcome the problems posed by geometry complexity and time scheme accuracy requirements in spectral methods. For time accuracy, a squared time pseudospectral approach is implemented in the cases of both two and threedimensional flows, and complex geometry flexibility is obtained by means of a multidomain spectral method which has the flexibility of finite elements. Due to the subdomain technique used there is no memory size problem, and the extension of the technique to threedimensional unsteady flow is expected to be easy. The four examples presently considered are the square domain with stream function formulation and spectral time derivatives, the cubic or square domain with velocity pressure fluctuation and spectral time derivatives, the square duct with velocity pressure formulation and finite difference time derivatives, and the airfoil with velocitypressure formulation, finite difference time derivatives and multidomain techniques.
 Publication:

NASA STI/Recon Technical Report A
 Pub Date:
 1982
 Bibcode:
 1982STIA...8314527M
 Keywords:

 Computational Fluid Dynamics;
 Flow Equations;
 Nonuniform Flow;
 SpaceTime Functions;
 Spectral Methods;
 Two Dimensional Flow;
 Airfoils;
 Domains;
 Flow Distribution;
 NavierStokes Equation;
 Pressure Distribution;
 Stream Functions (Fluids);
 Temporal Distribution;
 Three Dimensional Flow;
 Unsteady Flow;
 Velocity Distribution;
 Fluid Mechanics and Heat Transfer