Numerical Methods in Transient Heat Conduction : 4th Report, Two-Dimensional Problems in Orthogonal Co-Ordinate System
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概要
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In order to solve two-dimensional transient heat conduction problems by finite difference method with required accuracy, authors discuss to divide the temperature field using three kinds of meshes along the boundary, that is, (1) rectangular meshes, (2) meshes divided by cicles and radial lines, and (3) triangular meshes. In this report, the following discussions are made, concerning rectangular meshes.(1) Explicit-type difference equations approximating seven boundary conditions which are usually used in heat conduction theory, and those stability conditioins are revealed.(2) A difference equation, which converges more rapidly than the ordinary difference equation, is proposed.(3) A Flow-Chart, by which the numerical solution of required accuracy is obtained by controlling the parameters of at<min>/(ΔL)^2 and t<min>/Δt, is shown. And its effects are illustrated by an example.
- 一般社団法人日本機械学会の論文
著者
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KATAYAMA Kozo
Tokyo Institute of Technology
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SAITO Akio
Faculty of Engng, Tokyo Institute of Technology
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Saito Akio
Faculty Of Engineering Tokyo Institute Of Technology
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Saito Akio
Faculty Of Mechanical Engineering University Of Yamanashi
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