A spectral solver for the Navier-Stokes equations in the velocity-vorticity formulation for flows with two nonperiodic directions
A novel pseudospectral scheme for the Navier-Stokes equations with two nonperiodic directions is proposed. An influence matrix technique is employed to elicit the a priori lacking boundary conditions for the vorticity. The spatial discretization is based on a two-dimensional Chebyshev expansion on a nonstaggered grid of collocation points. The time marching scheme is Adams-Bashforth for the advective term and Crank-Nicholson for the viscous term. Divergence-free flow fields are achieved within machine accuracy.
scientific article; zbMATH DE number 1100748
scientific article