132 citations · 230 across the 29 of their papers we have counts for
4 papers · 1 filter
Multiscale solver for multi-component reaction-diffusion systems in heterogeneous media
Maria Vasilyeva, Alexey Sadovski, D. Palaniappan
Coupled nonlinear system of reaction-diffusion equations describing multi-component (species) interactions with heterogeneous coefficients is considered. Finite volume method based…
Efficient decoupling schemes for multiscale multicontinuum problems in fractured porous media
Maria Vasilyeva
We consider the coupled system of equations that describe flow in fractured porous media. To describe such types of problems, multicontinuum and multiscale approaches are used. Bec…
Multiscale model reduction technique for fluid flows with heterogeneous porous inclusions
Maria Vasilyeva, S. M. Mallikarjunaiah, D. Palaniappan
Numerical treatment of the problem of two-dimensional viscous fluid flow in and around circular porous inclusions is considered. The mathematical model is described by Navier-Stoke…
A computational macroscale model for the time fractional poroelasticity problem in fractured and heterogeneous media
Aleksei Tyrylgin, Maria Vasilyeva, Anatoly Alikhanov +1
In this work, we introduce a time memory formalism in poroelasticity model that couples the pressure and displacement. We assume this multiphysics process occurs in multicontinuum…