Numerical Computations of Viscous, Incompressible Flow Problems Using a Two-Level Finite Element Method

Authors:
Faisal Fairag
Affiliations:
-
Venue:
SIAM Journal on Scientific Computing
Year:
2002

Citing 0
Cited 4

Analysis and finite element approximation of a Ladyzhenskaya model for viscous flow in streamfunction form

Journal of Computational and Applied Mathematics
Finite element computations of pure-streamfunction equation of the Ladyzhenskaya equations for incompressible fluid

MATH'05 Proceedings of the 8th WSEAS International Conference on Applied Mathematics
The alternating group explicit (AGE) iterative method for solving a Ladyzhenskaya model for stationary incompressible viscous flow

International Journal of Computer Mathematics
A two-level finite element discretization of the streamfunction formulation of the stationary quasi-geostrophic equations of the ocean

Computers & Mathematics with Applications

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Abstract

We consider two-level finite element discretization methods for the stream function formulation of the Navier--Stokes equations. The two-level method consists of solving a small nonlinear system on the coarse mesh and then solving a linear system on the fine mesh. The basic result states that the errors between the coarse and fine meshes are related superlinearly. This paper demonstrates that the two-level method can be implemented to approximate efficiently solutions to the Navier--Stokes equations. Two fluid flow calculations are considered to test problems which have a known solution and the driven cavity problem. Stream function contours are displayed showing the main features of the flow.