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 -