Bondarenko A.I., Savin M.M, Supotnitskaya O.V.
A.I. Leypunsky Institute for Physics and Power Engineering, Obninsk, Russia
The article presented contains an analytical survey of problems emerged at construction and program realization of numerical algorithms of the Smoluchowski equation applied for a description of coagulation and coalescence processes in the disperse systems. It is indicated the reason of the problems can be assumptions about medium homogeneity, instantaneous mixing and interaction of particles being at arbitrary distant from each other. The other reason can concern a construction of a coagulation kernel for any specific case. A single-component disperse system is taken as an example to discuss capabilities for evasion of the problems emerged. A method of four-node function distribution of two-dimensional computational mesh is proposed for a two-component disperse system. Application of one-dimensional approximation for solving coagulation equation of a multicomponent disperse system is also discussed.
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