Transient multidimensional forms of the heat equation are developed with alternating-direction-implicit (ADI) methods. Nonlinearities which stem from boundary conditions and variable properties are approximated in a piecewise linear manner. The resulting ADI forms of the heat equation are successfully demonstrated on a diverse pair of applications consisting of an air-to-ground missile design and an orbiting hollow cube exposed to short-duration radiation. In both applications, the ADI equations prove to be an order of magnitude more economical of computer time than the traditional Cranck-Nicolson method. Moreover, the ADI equations prove to be less sensitive to approximation of nonlinearities than the DuFort-Frankel explicit method.


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    Titel :

    Engineering applications of ADI methods of piecewise linear multidimensional heat transfer


    Weitere Titelangaben:

    Technische Anwendungen von impliziten Methoden mit wechselnder Richtung auf die stueckweise lineare multidimensionale Waermeuebertragung


    Beteiligte:
    Smith, J.H. (Autor:in)

    Erschienen in:

    Erscheinungsdatum :

    1975


    Format / Umfang :

    , 22 Quellen



    Medientyp :

    Aufsatz (Zeitschrift)


    Format :

    Print


    Sprache :

    Englisch




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