Flux-corrected-transport technique

The flux-corrected-transport technique was also used by Phillips (1980), who successfully simulated the process of propagation of a detonation wave by a very simple mechanism. The reactive mixture was modeled to release its complete heat of combustion instantaneously after some prescribed temperature was attained by compression. A spherical detonation wave, simulated in this way, showed a correct propagation velocity and Taylor wave shape. 

All the problems encountered during application of the algorithms presented above illustrate the difficulty of solution of the advection problem in atmospheric transport models. A number of techniques have been developed to treat advection accurately, including flux-corrected transport (FCT) algorithms (Boris and Book, 1973), spectral and finite element methods [for reviews, see Oran and Boris (1987), Rood (1987), and Dabdub and Seinfeld (1994). Bott (1989, 1992), Prather (1986), Yamartino (1992), Park and Liggett (1991), and others have developed schemes specifically for atmospheric transport models. 

All of the problems encountered during application of the above algorithms illustrate the difficulty of solution of the advection problem in atmospheric transport models. A number of techniques have been developed to treat advection accurately including flux corrected transport (FCT) algorithms (Boris and Book, 1973), spectral and finite element... 

The most profitable alternative is probably a combination of Items Nos. 4 and 5 above. Below a certain energy of the order of five or ten times kT, an essentially new approximate method for solution of the transport equation should be developed. Above this energy, studies of the asymptotic behavior of the spectrum can be used to determine correction terms to be used in the ordinary multigroup formulation. The treatment of the asymptotic behavior of the spectrum has been studied extensively by Corngold [29]. The development of new techniques for the energy region below 10 kT is still at a very preliminary stage. At this point it is clear only that the flux must be expanded in a form... 

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