THE BOUNDARY ELEMENT METHOD APPLIED TO FREEZING AND MELTING PROBLEMS

Solutions for problems involving phase change have been attempted using a variety of techniques, including finite-difference, finite element, and approximate analytical methods. In all these methods the main difficulty is tracking the phase front, since it evolves as a nonlinear function of the temp...

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Vydáno v:Numerical heat transfer. Part B, Fundamentals Ročník 24; číslo 3; s. 263 - 277
Hlavní autoři: Vick, Brian, Nelson, D. J.
Médium: Journal Article
Jazyk:angličtina
Vydáno: United States Taylor & Francis Group 01.10.1993
Témata:
420400 - Engineering- Heat Transfer & Fluid Flow
BOUNDARY ELEMENT METHOD
CALCULATION METHODS
ENGINEERING
FINITE ELEMENT METHOD
INTERFACES
MANY-DIMENSIONAL CALCULATIONS
NUMERICAL SOLUTION
PHASE TRANSFORMATIONS
TEMPERATURE DISTRIBUTION
ISSN:1040-7790, 1521-0626
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Popis
Shrnutí:Solutions for problems involving phase change have been attempted using a variety of techniques, including finite-difference, finite element, and approximate analytical methods. In all these methods the main difficulty is tracking the phase front, since it evolves as a nonlinear function of the temperature distribution. The objective of this article is to demonstrate the numerical advantages of the boundary element method (BEM)for this class of problems. The proposed BEM reduces the problem to a nonlinear set of integral equations for the location of the phase front. These integral equations can be solved numerically using simple basis functions for the unknown boundary data, with no need to discretize the entire domain. A general solution for multidimensional problems is proposed. The numerical accuracy and characteristics of the method are demonstrated using a one-dimensional freezing problem. It is shown that accurate, computationally efficient, and numerically stable solutions can be obtained using implicit time discretization
ISSN:1040-7790
1521-0626
DOI:10.1080/10407799308955893