An Adaptive Mesh Smoothing Method Based on a Probabilistic Error Indicator

S  H  Dibajian; S  H  Hashemolhoseini; M  Farzin  and M  Gandomkar

doi:10.17485/ijst/2014/v7i2.2

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An Adaptive Mesh Smoothing Method Based on a Probabilistic Error Indicator

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Indian Journal of Science and Technology

DOI: 10.17485/ijst/2014/v7i2.2

Year: 2014, Volume: 7, Issue: 2, Pages: 158-167

Original Article

An Adaptive Mesh Smoothing Method Based on a Probabilistic Error Indicator

S. H. Dibajian^1*, S. H. Hashemolhoseini² , M. Farzin¹ and M. Gandomkar¹

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

*Author for the correspondence:
S. H. Dibajian
Department of Mechanical Engineering, Isfahan University of Technology, Isfahan, Iran
E-mail: [email protected]

This work is licensed under a Creative Commons Attribution 4.0 International License.

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