Pseudospectral approximation in a threedimensional NavierStokes code
Abstract
A pseudospectral solution scheme is described for threedimensional NavierStokes equations. The method, based on Fourier series, is employed for computing approximate derivatives in the circumferential direction and finite difference approximations in the other directions of a curvilinear coordinate system. The coordinate system is fitted to missileshaped configurations at moderate angles of attack. A sample problem is worked out for the flow over a hemispherical cylinder in a freestream Mach 1.2 flow. The pseudospectral model is shown to be more accurate than a fourth order model, particularly in the forebody region, where the nose separation pattern and crossflow separation agreed with flow visualization data.
 Publication:

AIAA Journal
 Pub Date:
 August 1983
 DOI:
 10.2514/3.8228
 Bibcode:
 1983AIAAJ..21.1208R
 Keywords:

 Computational Fluid Dynamics;
 Hemisphere Cylinder Bodies;
 NavierStokes Equation;
 Three Dimensional Flow;
 Computational Grids;
 Finite Difference Theory;
 Fourier Series;
 Missile Configurations;
 Fluid Mechanics and Heat Transfer