Premium
A preliminary study on multiscale ELLAM schemes for transient advection‐diffusion equations
Author(s) -
Cheng Aijie,
Wang Kaixin,
Wang Hong
Publication year - 2010
Publication title -
numerical methods for partial differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.901
H-Index - 61
eISSN - 1098-2426
pISSN - 0749-159X
DOI - 10.1002/num.20496
Subject(s) - advection , transient (computer programming) , partial differential equation , eulerian path , mathematics , diffusion , porous medium , lagrangian , flow (mathematics) , convection–diffusion equation , numerical diffusion , mathematical analysis , mechanics , computer science , porosity , physics , geometry , materials science , thermodynamics , composite material , operating system
We study multiscale Eulerian–Lagrangian localized adjoint methods (MsELLAMs) for transient linear advection‐diffusion equations with oscillatory coefficients, which arise in mathematical models for describing flow and transport through heterogeneous porous media, composite material design, and other applications. Several MsELLAM schemes are presented and studied. Numerical experiments are presented to observe the numerical performance of these MsELLAM schemes. © 2009 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2010