Spectral computation of tripledeck flows
Abstract
The Fourier transform method is applied to the problem of computing viscous flows involving boundarylayer separation, based on the tripledeck model of viscousinviscid flow interaction. As used here, the method is pseudospectral in that the nonlinear inertia terms are evaluated in physical variables, although the main computations are made in spectral variables. The FastFourierTransform algorithm is used to expedite the iterated transformations. The method is much faster than conventional finitedifference methods; typically only ten or twenty iterations suffice for convergence to four or five digits of accuracy. Furthermore, no artificial stabilization schemes are necessary to treat the reversed flows occurring in separated regions. Results are presented for both incompressible and supersonic flows, and are shown to compare well with previous finitedifference results.
 Publication:

NASA STI/Recon Technical Report N
 Pub Date:
 January 1981
 Bibcode:
 1981STIN...8121320B
 Keywords:

 Boundary Layer Separation;
 Fast Fourier Transformations;
 Inviscid Flow;
 Mathematical Models;
 Viscous Flow;
 Finite Difference Theory;
 Incompressible Flow;
 Supersonic Flow;
 Fluid Mechanics and Heat Transfer