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| A mesh adaptation technique via a posterior error estimate for incompressible Navier-Stokes equations |
| Revised:December 18, 2003 |
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| DOI：10.7511/jslx20056137 |
| KeyWord:error estimate,mesh adaptation,incompressible Navier-Stokes equations,finite element |
| ZHOU Chun-hua |
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| Abstract: |
| At first,an a posterior error estimate is derived for Petrov-Galerkin discretization of generalized Stokes equations.This estimate is based on solving a local generalized Stokes problem,using the space of discontinue quadratic bump functions to approximate both velocity and pressure errors.Then,the equivalence between error estimate and exact error is proved.Finally,the estimate is applied in Navier-Stokes environment in order to adapt meshes for the numerical simulation of incompressible viscous fluid flow.Multi-scale phenomena have been captured in numerical experiments that validate the mesh adaptation technique developed for incompressible Navier-Stokes equations. |
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