Title

A Source And Sink Method For Numerical And Exact Solutions Of Stefan Problems

Authors

Authors

C. K. Hsieh;A. J. Kassab

Comments

Authors: contact us about adding a copy of your work at STARS@ucf.edu

Abbreviated Journal Title

Eng. Anal. Bound. Elem.

Keywords

phase change; Stefan problem; source and sink method; boundary element; method; ablation problem; FLUX BOUNDARY-CONDITIONS; SOLIDIFICATION PROBLEMS; ELEMENT METHOD; PHASE; TEMPERATURE; Engineering, Multidisciplinary; Mathematics, Interdisciplinary; Applications

Abstract

A source and sink method (SSM) has been reviewed in this paper. This method has been shown to be useful in the solution of phase change with singular or multiple interfaces and imposed with stationary and moving constant or time-variant conditions. Hybrid methods are also presented that combine the SSM with a complex temperature method or the finite difference method. The SSM has been shown to be useful in solving phase change due to a moving heat front. In this application, exact solutions can be obtained without reliance on the similarity transformation. Examples are provided to show some complicated problems that can be solved with the SSM. Finally, the SSM and the BEM are shown to be two methods in one, which provides the basis for combining these two for a more effective solution method in the future.

Journal Title

Engineering Analysis with Boundary Elements

Volume

16

Issue/Number

2

Publication Date

1-1-1995

Document Type

Article

Language

English

First Page

149

Last Page

160

WOS Identifier

WOS:A1995TN69800006

ISSN

0955-7997

Share

COinS