Abstract:
A general approach to derivation of efficient numerical methods based on a mixed spectral and finite difference approximation for problems, whose solutions are smooth in some variables and non-smooth in other variables is considered.
The approach considered is applied to the problem of a viscous liquid flow in a plane diffusor. Properties of the numerical method are investigated on the basis of computational experiments.
Key words:non-stationary self-similar, fluid flow in a diffusor, confusor; mathematical simulation, numerical method, mixed spectral and finite difference approximation, discretization.
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