Now showing items 1-5 of 5
A unified multilevel framework of upscaling and domain decomposition
(International Center for Numerical Methods in Engineering (CIMNE), 2010)
We consider multiscale preconditioners for a class of mass-conservative domain-decomposition (MCDD) methods. For the application of reservoir simulation, we need to solve large linear systems, arising from finite-volume ...
Auxiliary variables for 3D multiscale simulations in heterogeneous porous media
The multiscale control-volume methods for solving problems involving flow in porous media have gained much interest during the last decade. Recasting these methods in an algebraic framework allows one to consider them ...
Solute transport in aquifers with evolving scale heterogeneity
(Tipografia Universitatii Ovidius, 2015)
Transport processes in groundwater systems with spatially heterogeneous properties often exhibit anomalous behavior. Using first-order approximations in velocity fluctuations we show that anomalous superdiffusive behavior ...
Multiscale mass conservative domain decomposition preconditioners for elliptic problems on irregular grids
Multiscale methods can in many cases be viewed as special types of domain decomposition preconditioners. The localisation approximations introduced within the multiscale framework are dependent upon both the heterogeneity ...
Upscaling of the Coupling of Hydromechanical and Thermal Processes in a Quasi-static Poroelastic Medium
We undertake a formal derivation of a linear poro-thermo-elastic system within the framework of quasi-static deformation. This work is based upon the well-known derivation of the quasi-static poroelastic equations (also ...