4.7 Article

A new numerical algorithm for 2D moving boundary problems using a boundary element method

Journal

COMPUTERS & MATHEMATICS WITH APPLICATIONS
Volume 58, Issue 7, Pages 1302-1308

Publisher

PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.camwa.2009.03.115

Keywords

Phase change problems; Moving boundary problems; Ablation problems; Boundary elements methods; Numerical algorithms

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Phase change problems are of practical importance and can be found in a wide range of engineering applications. In the present paper, two proposed numerical algorithms are developed; the first one is general for phase change problems, while the second one is for ablation problems. The boundary elements method is used as a mathematical tool in conjunction with the proposed algorithms. Two test examples were solved and the results agree with the physics of the problems. (C) 2009 Elsevier Ltd. All rights reserved.

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