Numerical Simulations for Nonlinear Heat Transfer in a System of Multimaterials

Wenlong Dai; Paul R. Woodward

doi:10.1006/jcph.1997.5863

Numerical Simulations for Nonlinear Heat Transfer in a System of Multimaterials

Wenlong Dai, Paul R. Woodward

Physics and Astronomy (Twin Cities)

Research output: Contribution to journal › Article › peer-review

16 Scopus citations

Abstract

An implicit scheme is developed for nonlinear heat transfer problems. The scheme possesses a number of properties. The most notable are the second-order accuracy in both space and time, the conservative feature, quick damping of numerical errors when the size of time step is large, the iterative approach and fast convergence, the accurate treatment for nonlinearities and different kinds of material, and the capability to handle a system composed of more then one kind of material, which have dramatically different thermal diffusivities. The scheme may be easily vectorized. Numerical examples are presented to show these features.

Original language	English (US)
Pages (from-to)	58-78
Number of pages	21
Journal	Journal of Computational Physics
Volume	139
Issue number	1
DOIs	https://doi.org/10.1006/jcph.1997.5863
State	Published - Jan 1 1998

Bibliographical note

Funding Information:
The work presented here has been supported by the Department of Energy through Grants DE-FG02-87ER25035 and DE-FG02-94ER25207, and by the University of Minnesota through its Minnesota Supercomputer Institute.

Keywords

Finite difference
Heat conduction
Heat transfer
Iterative
Multigrid

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KW - Multigrid

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Numerical Simulations for Nonlinear Heat Transfer in a System of Multimaterials

Abstract

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Keywords

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