Results 31 to 40 of about 102 (56)

Generalized Multiscale Finite Element Method for Elastic Wave Propagation in the Frequency Domain

open access: yesComputation, 2020
In this work, we consider elastic wave propagation in fractured media. The mathematical model is described by the Helmholtz problem related to wave propagation with specific interface conditions (Linear Slip Model, LSM) on the fracture in the frequency ...
Uygulana Gavrilieva   +2 more
doaj   +1 more source

Online Multiscale Finite Element Simulation of Thermo-Mechanical Model with Phase Change

open access: yesComputation, 2023
This paper presents a thermo-mechanical model with phase transition considering changes in the mechanical properties of the medium. The proposed thermo-mechanical model is described by a system of partial differential equations for temperature and ...
Dmitry Ammosov, Maria Vasilyeva
doaj   +1 more source

Multiscale Model Reduction with Local Online Correction for Polymer Flooding Process in Heterogeneous Porous Media

open access: yesMathematics, 2023
In this work, we consider a polymer flooding process in heterogeneous media. A system of equations for pressure, water saturation, and polymer concentration describes a mathematical model.
Maria Vasilyeva, Denis Spiridonov
doaj   +1 more source

Contrast-Independent Partially Explicit Time Discretizations for Quasi Gas Dynamics

open access: yesMathematics, 2022
In the paper, we study a design and stability of contrast-independent partially explicit time discretizations for Quasi-Gas-Dynamics (QGD) Equations in multiscale high-contrast media.
Boris Chetverushkin   +2 more
doaj   +1 more source

Learning Algorithms for Coarsening Uncertainty Space and Applications to Multiscale Simulations

open access: yesMathematics, 2020
In this paper, we investigate and design multiscale simulations for stochastic multiscale PDEs. As for the space, we consider a coarse grid and a known multiscale method, the generalized multiscale finite element method (GMsFEM).
Zecheng Zhang   +3 more
doaj   +1 more source

Online Coupled Generalized Multiscale Finite Element Method for the Poroelasticity Problem in Fractured and Heterogeneous Media

open access: yesFluids, 2021
In this paper, we consider the poroelasticity problem in fractured and heterogeneous media. The mathematical model contains a coupled system of equations for fluid pressures and displacements in heterogeneous media.
Aleksei Tyrylgin   +4 more
doaj   +1 more source

Mixed Generalized Multiscale Finite Element Method for a Simplified Magnetohydrodynamics Problem in Perforated Domains

open access: yesComputation, 2020
In this paper, we consider a coupled system of equations that describes simplified magnetohydrodynamics (MHD) problem in perforated domains. We construct a fine grid that resolves the perforations on the grid level in order to use a traditional ...
Valentin Alekseev   +4 more
doaj   +1 more source

Multiscale Model Reduction of the Unsaturated Flow Problem in Heterogeneous Porous Media with Rough Surface Topography

open access: yesMathematics, 2020
In this paper, we consider unsaturated filtration in heterogeneous porous media with rough surface topography. The surface topography plays an important role in determining the flow process and includes multiscale features.
Denis Spiridonov   +4 more
doaj   +1 more source

Multiscale Simulations for Coupled Flow and Transport Using the Generalized Multiscale Finite Element Method

open access: yesComputation, 2015
In this paper, we develop a mass conservative multiscale method for coupled flow and transport in heterogeneous porous media. We consider a coupled system consisting of a convection-dominated transport equation and a flow equation.
Eric T. Chung   +3 more
doaj   +1 more source

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