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- W122891240 abstract "It is shown that a considerable saving in computing time can be obtained by the use of unconditionally stable, or implicit, finite difference approximations to the radiation diffusion equation. The effectiveness of implicit difference equations depends on the existence of rapidly covergent iteration procedures for solving the nonlinear system of equations that determines the temperature distribution at each time step. By application to some typical situations Newton's method is shown to provide such a procedure. For treatment of radiation diffusion with tabulated values of opacity and energy, the flux is defined as an integral whose derivative involves only values of the opacity; and the tabulated energy is replaced by a continuously differentable function of temperature by the use of the splime fit. The same holds true with interfaces and various boundary conditions. (auth)" @default.
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- W122891240 date "1963-08-15" @default.
- W122891240 modified "2023-09-23" @default.
- W122891240 title "IMPLICIT RADIATION DIFFUSION" @default.
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