Mathematical modelling and computer simulation of steady state heat conduction in anisotropic multi-layered bodies

Authors:
Manoj Kumar;Pratibha Joshi
Affiliations:
Department of Mathematics, Motilal Nehru National Institute of Technology, Allahabad-211004, UP, India;Department of Mathematics, University of Petroleum and Energy Studies, Dehradun-248007, Uttarakhand, India
Venue:
International Journal of Computing Science and Mathematics
Year:
2013

Citing 2
Cited 0

The immersed interface method: a numerical approach for partial differential equations with interfaces

The immersed interface method: a numerical approach for partial differential equations with interfaces
A decomposed immersed interface method for variable coefficient elliptic equations with non-smooth and discontinuous solutions

Journal of Computational Physics

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Abstract

The study of heat conduction in multilayered composite bodies is of great interest because of their importance in many engineering applications. Steady state heat conduction in bodies made of different material layers which have different thermal conductivities is governed by elliptic boundary value problem with interfaces. Solution of the corresponding problem is often difficult because of the discontinuity across the interface. In this paper, a mathematical model of such problems has been described and computer simulation of two such problems has been presented using decomposed immersed interface method using MATLAB.