A program for automatic generation of different classes of turbulence cascade models has been developed

 

   The program was developed at the Laboratory of Physical Process Modeling by the Leading researcher, Vodinchar G.M., Cand. of Phys.-Math.Sci. and the Researcher, Feshchenko L.K., Cand. of Phys.-Math.Sci. The program generates classes of turbulence cascade models satisfying any given conservation law sets. Choice of a model within these classes can later be specified using additional physical arguments, for example, existence of a given distribution of interaction probabilities of any shells. The developed method for generation of turbulence cascade model equations is realized by a symbolic computation system. Symbolic packets are used not to investigate prepared cascade models but to generate equations of these models automatically. The method makes it possible to vary the dimensions of scale nonlocal models, form of quadratic conservation laws and spectral laws, scale geometric progression ratio. Its application allows one to generate the whole model classes quickly and accurately. It can be used to develop cascade models of hydrodynamic, magnetohydrodynamic and convective turbulent systems.