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Estimation of Impacts of Removing Arbitrarily Constrained Domain Details to the Analysis of Incompressible Fluid Flows

Part of: Equations of mathematical physics and other areas of application Incompressible viscous fluids Numerical methods in calculus of variations and optimal control

Published online by Cambridge University Press:  05 October 2016

Kai Zhang ,
Ming Li  and
Jingzhi Li
Kai Zhang*
Affiliation:
Department of Mathematics, Jilin University, Changchun, P.R. China
Ming Li*
Affiliation:
State Key Laboratory of CAD & CG, Zhejiang University, Hangzhou, P.R. China
Jingzhi Li*
Affiliation:
Department of Mathematics, Southern University of Science and Technology, Shenzhen, P.R. China
*
*Corresponding author. Email addresses:kzhang@jlu.edu.cn (K. Zhang), mli@zjucadcg.cn (M. Li), li.jz@sustc.edu.cn (J. Li)
*Corresponding author. Email addresses:kzhang@jlu.edu.cn (K. Zhang), mli@zjucadcg.cn (M. Li), li.jz@sustc.edu.cn (J. Li)
*Corresponding author. Email addresses:kzhang@jlu.edu.cn (K. Zhang), mli@zjucadcg.cn (M. Li), li.jz@sustc.edu.cn (J. Li)
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Abstract

Removing geometric details from the computational domain can significantly reduce the complexity of downstream task of meshing and simulation computation, and increase their stability. Proper estimation of the sensitivity analysis error induced by removing such domain details, called defeaturing errors, can ensure that the sensitivity analysis fidelity can still be met after simplification. In this paper, estimation of impacts of removing arbitrarily constrained domain details to the analysis of incompressible fluid flows is studied with applications to fast analysis of incompressible fluid flows in complex environments. The derived error estimator is applicable to geometric details constrained by either Dirichlet or Neumann boundary conditions, and has no special requirements on the outer boundary conditions. Extensive numerical examples were presented to demonstrate the effectiveness and efficiency of the proposed error estimator.

Keywords

Defeaturing erroradjoint formulationincompressible fluid mechanics

MSC classification

Secondary: 35Q30: Navier-Stokes equations 49M05: Methods based on necessary conditions 76D05: Navier-Stokes equations
Type
Research Article
Information
Communications in Computational Physics , Volume 20 , Issue 4 , October 2016 , pp. 944 - 968
Copyright
Copyright © Global-Science Press 2016 

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