D. Nikolsky
Russia, 302026, Orel, Bld. 95, Komsomolskaya St.,
The Orel State University,
Physics&Mathematics Faculty,
There is offered an modification of the closed vortical frame method
for calculation of the speed of an interface of various viscosity and density
liquids moving in the model "piston" replacement.
The case of a non-uniform ground is considered.
The numerical scheme is tested on the analytical
decision of the private problem.
The mathematical model constructed in given work can be used for a wide range
of the problems connected with evolution of an interface of liquids.
Such problems arise by primary development of oil deposits,
in problems of monitoring of an environment.
Work is executed at financial support of the Russian Foundation for Basic Research No 06-01-96303.