"A simple and efficient error analysis for multi-step solution of the N" by Robert M. Fithen
 

A simple and efficient error analysis for multi-step solution of the Navier-Stokes equations

Document Type

Article

Publication Date

2-28-2002

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 (post-processing step), 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, 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. Copyright © 2002 John Wiley & Sons, Ltd.

DOI

10.1002/fld.221

First Page

589

Last Page

608

Publication Title

International Journal for Numerical Methods in Fluids

This document is currently not available here.

Plum Print visual indicator of research metrics
PlumX Metrics
  • Citations
    • Citation Indexes: 1
  • Usage
    • Abstract Views: 8
  • Captures
    • Readers: 2
see details

Share

COinS