Efficient explicit-implicit finite-difference algorithm for transient heat-conduction problems

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Abstract

An efficient explicit-implicit finite-difference algorithm for transient heat-conduction problems is developed. The algorithm is based on the alternative use of the explicit and implicit scheme for the time integral of the transient heat-conduction equation depending on the total heat conductance of the mesh elements. The algorithm has so simple a structure that it can be applied to a variety of transient heat-conduction problems. Particularly, the algorithm is effective for multi-domain problems and strongly irregular mesh problems. In this paper, the basic area of the algorithm and a method to determine an optimum time increment are described. Also, the evaluated results of accuracy and acceleration of the calculation by the application to the one-dimensional transient heat-conduction problems are described.

Original languageEnglish
Pages (from-to)151-164
Number of pages14
JournalHeat Transfer - Japanese Research
Volume21
Issue number2
Publication statusPublished - 1992 Dec 1

ASJC Scopus subject areas

  • Fluid Flow and Transfer Processes

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