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

    Authors

    C. K. Hsieh;A. J. Kassab

    Comments

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    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

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