A pseudospectral method for solution of the three-dimensional incompressible Navier-Stoke equations
A new collocation spectral method is presented for solving the three- dimensional incompressible Navier-Stokes equations in primitive variables for nonperiodic boundary conditions. The functions are expanded in Chebyshev polynomials, the equations are collocated at the Chebyshev points, and Chorin's splitting method is used for the time discretization. For the resulting pressure Poisson equation a direct fast solver is proposed which is based on eigenfunction decompositions. This greatly reduces the computer storage requirments for solving the linear systems. The method is tested on the two- and three-dimensional cavity flow problem.
three-dimensional Navier-Stokes equations
three-dimensional incompressible Navier-Stokes equations
scientific article; zbMATH DE number 4076815