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.
Engineering applications of ADI methods of piecewise linear multidimensional heat transfer
Technische Anwendungen von impliziten Methoden mit wechselnder Richtung auf die stueckweise lineare multidimensionale Waermeuebertragung
Journal of Computational Physics ; 17 , 2 ; 181-191
1975
, 22 Quellen
Aufsatz (Zeitschrift)
Englisch
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