Fourier/Chebyshev methods for the incompressible Navier-Stokes equations in infinite domains
A fully spectral method is presented for the unsteady Navier-Stokes equations which are infinite or semi-infinite in one dimension. The scheme assumes that the vorticity in the flow is essentially concentrated in a finite region, which is represented numerically by the standard spectral collocation methods. To accommodate the slow exponential decay of the velocity at infinity, extra expansion functions are introduced, which are handled analytically. A detailed error analysis is presented, and two applications to direct numerical simulation of turbulent flows are discussed. The numerical performance of the scheme is demonstrated for high Reynolds number incompressible flows.
scientific article; zbMATH DE number 825399