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ISSN Online: 2377-424X

ISBN Print: 0-85295-345-3

International Heat Transfer Conference 10
August, 14-18, 1994, Brighton, UK

TIME-SPACE METHOD FOR MELTING AND SOLIDIFICATION PROBLEM

Get access (open in a dialog) DOI: 10.1615/IHTC10.1720
pages 127-132

要約

In this paper, a super time-saving method (Time-space method: TSM) for general transient flow and heat transfer problems is proposed. In the proposed TSM, the timewisc coordinate is incorporated into one of the spatial coordinates, thereby transforming the usual transient 2-D (or 3-D) problems into steady 3-D (or 4-D) boundary-value problems. The TSM has an outstanding feature that eliminates the so-called numerical instability since time integration is not necessary, which has been the fatal problem in the principal numerical methodologies in the past. Namely, no error propagation in the timewise direction occurs in the TSM calculation.
The TSM is applicable to almost all transient heat transfer and flow problems. The computer running time will be drastically reduced to only 1 /100th-1 /1000th of the existing schemes for 2-D or 3-D problems. The sample calculations were presented for a two-dimensional melting problem in a square cavity and the validity of the present method was examined.