The Spectral Method for the Flow between Two Concentric Rotating Spheres,Part Ⅱ: The Full Discrete Nonlinear Legendre-Galerkin Method

摘要

The nonlinear Galerkin Mthods are numerical schemes for evolutionary partial differential equations based on the theory of inertial manifolds and approximate inertial manifolds.In this paper,we consider the flow between two concentric rotating spheres,and combine the Legendre-Galerkin spectral methods in Part I together with the nonlinear Galerkin method,then construct the full discrete nonlinear Legendre-Galerkin spectral scheme,and derive the stability conditions and its error estimate.