TY - JOUR

T1 - Efficient Explicit-Implicit Finite Difference Algorithm for Transient Heat Conduction Problems

AU - Anzai, Koichi

AU - Uchida, Toshio

N1 - Copyright:
Copyright 2016 Elsevier B.V., All rights reserved.

PY - 1991

Y1 - 1991

N2 - An efficient explicit-implicit finite difference algorithm for the transient heat conduction problem 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 mesh elements. The algorithm has so simple a structure that it can be applicable 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 idea 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.

AB - An efficient explicit-implicit finite difference algorithm for the transient heat conduction problem 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 mesh elements. The algorithm has so simple a structure that it can be applicable 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 idea 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.

KW - Computer Algorithm

KW - Explicit-Implicit Method

KW - Finite Difference Method

KW - Heat Conduction

KW - Numerical Analysis

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U2 - 10.1299/kikaib.57.1434

DO - 10.1299/kikaib.57.1434

M3 - Article

AN - SCOPUS:0026142603

VL - 57

SP - 1434

EP - 1441

JO - Nihon Kikai Gakkai Ronbunshu, B Hen/Transactions of the Japan Society of Mechanical Engineers, Part B

JF - Nihon Kikai Gakkai Ronbunshu, B Hen/Transactions of the Japan Society of Mechanical Engineers, Part B

SN - 0387-5016

IS - 536

ER -