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Error control and mesh optimization for high-order finite element approximation of incompressible viscous flow |
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| Authors: | Andrew V. Ilin Babak Bagheri Ralph W. Metcalfe L. Ridgway Scott |
| Affiliation: | a Texas Center for Advanced Molecular Computation, University of Houston, Texas, USA b Department of Mechanical Engineering, University of Houston, Texas, USA c Department of Mathematics and Texas Center for Advanced Molecular Computation, University of Houston, Texas, USA |
| Abstract: | We discuss the use of a posteriori error estimates for high-order finite element methods during simulation of the flow of incompressible viscous fluids. The correlation between the error estimator and actual error is used as a criterion for the error analysis efficiency. We show how to use the error estimator for mesh optimization which improves computational efficiency for both steady-state and unsteady flows. The method is applied to two-dimensional problems with known analytical solutions (Jeffrey-Hamel flow) and more complex flows around a body, both in a channel and in an open domain. |
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