Gauss and gauss-lobatto element quadratures applied to the incompressible navier-stokes equations

摘要

The Galerkin finite element method of spatially discretising the time-dependent Navier-Stokes equations is attractive when the solution domain is irregualr and can-not be conventiently mapped to a rectangular grid. The method overcomes many of the problems associated with finite difference or structured-grid finite volume technniques, and is especially well suited to problems shere unstructured meash techniques can be applied to reduce the number of meash nodes.