Local discontinuous galerkin method for parabolic problems involving imperfect contact surfaces

A. Jain, R. Kanapady, K. K. Tamma

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Scopus citations

Abstract

The Local Discontinuous Galerkin (LDG) method that is presented here provides a unified framework and an elegant approach for solving various kinds of heat conduction problems like thermal contact resistance and sharp/high gradient problems without much modifications to the basic formulation. In this paper, we describe the LDG formulation for parabolic heat conduction problems. The advantages of LDG method over the Continuous Galerkin (CG) finite element method are shown using two classes of problems - problems involving sharp/high gradients, and imperfect contact between surfaces. So far, interface/gap elements have been primarily used to model the imperfect contact between two surfaces to solve thermal contact resistance problems. The LDG method eliminates the use of interface/gap elements and provides a high degree of accuracy. It is further shown in the problems involving sharp/high gradient, that the LDG method is less expensive (requires less number of degrees of freedom) as compared to the CG method to capture the peak value of the gradient. Several illustrative 1-D/2-D applications highlight the effectiveness of the present LDG formulation.

Original languageEnglish (US)
Title of host publicationCollection of Technical Papers - 44th AIAA Aerospace Sciences Meeting
Pages7076-7086
Number of pages11
StatePublished - Dec 1 2006
Event44th AIAA Aerospace Sciences Meeting 2006 - Reno, NV, United States
Duration: Jan 9 2006Jan 12 2006

Publication series

NameCollection of Technical Papers - 44th AIAA Aerospace Sciences Meeting
Volume10

Other

Other44th AIAA Aerospace Sciences Meeting 2006
CountryUnited States
CityReno, NV
Period1/9/061/12/06

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