Solution of the incompressible Navier-Stokes equations by the nonlinear Galerkin method
Our aim is to study a new method for the approximation of the Navier- Stokes equations, and to present and discuss numerical results supporting the method. This method, called the nonlinear Galerkin method, uses nonlinear manifolds which are close to the attractor, while in the usual Galerkin method, we look for solutions in a linear space, i.e., whose components are independent. We consider here the two- and three- dimensional space periodic cases in the context of a pseudo-spectral discretization of the equation.
scientific article; zbMATH DE number 473046