Two-grid finite element formulations of the incompressible Navier-Stokes equations

Abstract

The paper compares two different two‐grid finite element formulations applied to the Navier–Stokes equations, namely a multigrid and a mixed or composite formulation. In the latter case the pressure is interpolated on a coarser grid than the velocity, using mixed elements instead of mixed interpolation functions. In the multigrid formulation an equal‐order interpolation is used on the same elements. A pressure Poisson formulation is used in both cases. Computational results are presented to compare the methods and comparisons are also made with other results. ©1997 John Wiley & Sons, Ltd.

A Two-Grid Method of a Mixed Stokes–Darcy Model for Coupling Fluid Flow with Porous Media Flow

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Topological aspects of three-dimensional wakes behind rotary oscillating cylinders

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