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- W2071906543 abstract "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 Crank-Nicolson method. Moreover, the ADI equations prove to be less sensitive to approximation of nonlinearities than the DuFort-Frankel explicit method." @default.
- W2071906543 created "2016-06-24" @default.
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- W2071906543 date "1975-02-01" @default.
- W2071906543 modified "2023-09-27" @default.
- W2071906543 title "Engineering applications of ADI methods to piecewise linear multidimensional heat transfer" @default.
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- W2071906543 doi "https://doi.org/10.1016/0021-9991(75)90035-2" @default.
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