An explicit scheme for the solution of the filtration problems
Б. Н. ЧетверушкинInstitute for Mathematical Modeling, Russian Academy of Sciences, Moscow, RussiaD. N. MorozovMoscow Institute of Physics and Technology, Moscow, RussiaM. A. TrapeznikovaMoscow Institute of Physics and Technology, Moscow, RussiaN. G. ChurbanovaMoscow Institute of Physics and Technology, Moscow, RussiaE. V. Shil’nikovInstitute for Mathematical Modeling, Russian Academy of Sciences, Moscow, Russia
2010en
ABI
Abstract
Different models of compressible fluid filtration are considered. Unlike the classical system of equations, the continuity equation is modified with allowance for the minimum scale of space averaging and for the internal relaxation time of the system. Three-level explicit finite difference schemes are proposed that are convenient for high-performance parallel implementation. The transition from the parabolic to the hyperbolic system of equations makes the stability requirements for them less stringent than for the two-level schemes.
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