Title

Adaptive, multi-level numerical scheme for the solution of the Navier-Stokes equations

Document Type

Conference Proceeding

Publication Date

12-1-1992

Department

Mechanical Engineering

Abstract

A simple error analysis is used within the context of segregated finite element solution scheme to solve incompressible fluid flow. An error indicator is defined based on the difference between a numerical solution on an original mesh and an approximated solution on a related mesh. This error indicator is based on satisfying the steady state momentum equations. The advantages of this error indicator are: simplicity of implementation; ability to show regions of high and/or low error; and as the indicator approaches zero the solution approaches convergence. Two examples are chosen for solution; first, the lid-driven cavity problem is solved, followed by the solution of flow over a backward facing step. The solutions are compared to previously published data for validation purposes. It is shown that this rather simple error estimate, when used as a re-meshing guide, can be very effective in obtaining accurate numerical solutions.

First Page

275

Last Page

292

Publication Title

American Society of Mechanical Engineers, Applied Mechanics Division, AMD

ISBN

0791811344

Comments

At the time of publication, Robert M. Fithen was affiliated with Virginia Polytechnic Institute and State University.

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