Open AccessAPPLICATION OF THE CONSERVATIVE AVERAGING FOR THE FILTRATION PROBLEM WITH LARGE VELOCITY
Author(s) -
J. Jegorov,
Andris Buiķis
Publication year - 2001
Publication title -
mathematical modelling and analysis/mathematical modeling and analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.491
H-Index - 25
eISSN - 1648-3510
pISSN - 1392-6292
DOI - 10.3846/13926292.2001.9637164
Subject(s) - rectangle , mathematics , quadratic equation , filtration (mathematics) , mathematical optimization , nonlinear system , mathematical analysis , geometry , physics , pure mathematics , quantum mechanics
In this paper we consider a filtration problem in a rectangle or a perturbed rectangle region with an essential nonlinearity and high values of velocity. The conservative averaging method with quadratic or rational approximation over the rectangle thickness gives us 1D problem instead of the original 2D problem. This ID solution can be used as an initial approximation for the original 2D problem. The conservative averaging method is considered and results of some numerical experiments are presented.