Indian Journal of Science and Technology

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An Adaptive Mesh Smoothing Method Based on a Probabilistic Error Indicator


Affiliations
1 Department of Mechanical Engineering, Isfahan University of Technology, Isfahan, Iran, Islamic Republic of
2 Department of Mineral Engineering, Isfahan University of Technology, Isfahan, Iran, Islamic Republic of
 

In this paper assessment of the reliability of the results in the finite element method is studied by using probability theory. A probabilistic error indicator is presented which is based on Kriging error interpolation and is used for mesh smoothing purpose. Effective parameters such as shape functions, volume of elements and distance between nodes are considered simultaneously. The field variation is also considered and is calculated statistically or by other means such as user's sense. This error indicator is used for adaptive mesh smoothing purposes especially in the uncoupled ALE approaches. Robustness and accuracy of the method are shown through several examples on different fields with irregular boundaries or abrupt changes.

Keywords

Adaptive Mesh, Error Estimator, Finite Element, Mesh Smoothing
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  • An Adaptive Mesh Smoothing Method Based on a Probabilistic Error Indicator

Abstract Views: 254  |  PDF Views: 0

Authors

S. H. Dibajian
Department of Mechanical Engineering, Isfahan University of Technology, Isfahan, Iran, Islamic Republic of
S. H. Hashemolhoseini
Department of Mineral Engineering, Isfahan University of Technology, Isfahan, Iran, Islamic Republic of
M. Farzin
Department of Mechanical Engineering, Isfahan University of Technology, Isfahan, Iran, Islamic Republic of
M. Gandomkar
Department of Mechanical Engineering, Isfahan University of Technology, Isfahan, Iran, Islamic Republic of

Abstract


In this paper assessment of the reliability of the results in the finite element method is studied by using probability theory. A probabilistic error indicator is presented which is based on Kriging error interpolation and is used for mesh smoothing purpose. Effective parameters such as shape functions, volume of elements and distance between nodes are considered simultaneously. The field variation is also considered and is calculated statistically or by other means such as user's sense. This error indicator is used for adaptive mesh smoothing purposes especially in the uncoupled ALE approaches. Robustness and accuracy of the method are shown through several examples on different fields with irregular boundaries or abrupt changes.

Keywords


Adaptive Mesh, Error Estimator, Finite Element, Mesh Smoothing



DOI: https://doi.org/10.17485/ijst%2F2014%2Fv7i2%2F50248