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.


    Access

    Check access

    Check availability in my library

    Order at Subito €


    Export, share and cite



    Title :

    Engineering applications of ADI methods of piecewise linear multidimensional heat transfer


    Additional title:

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


    Contributors:
    Smith, J.H. (author)

    Published in:

    Publication date :

    1975


    Size :

    , 22 Quellen



    Type of media :

    Article (Journal)


    Type of material :

    Print


    Language :

    English




    Multidimensional Modeling of Ablation Heat Transfer

    Ewing, Mark E. / Isaac, Daron A. / Heath Dewey, H. et al. | AIAA | 2022


    Continuous Piecewise Linear Functions

    Aliprantis, C. D. / Harris, D. / Tourky, R. | British Library Online Contents | 2006



    Piecewise-Linear Computation Of Creep

    Jenkins, Jerald | NTRS | 1989


    Analyzing Piecewise Linear Dynamical Systems

    Pettit, N. B. O. L. / Wellstead, P. E. | British Library Online Contents | 1995