9 papers
Multicontinuum Generalized Multiscale Finite Element Method (MC-GMsFEM). Theory and applications to upscaling of two-phase flow
Mohammed Al Kobaisi, Dmitry Ammosov, Yalchin Efendiev +1
We develop a multicontinuum Generalized Multiscale Finite Element Method (MC-GMsFEM) for constructing coarse-scale models in heterogeneous media that simultaneously provide accurat…
Meshfree GMsFEM-based exponential integration for multiscale 3D advection-diffusion problems
Djulustan Nikiforov, Leonardo A. Poveda, Dmitry Ammosov +3
In this work, we extend the meshfree generalized multiscale exponential integration framework introduced in Nikiforov et al. (2025) to the simulation of three-dimensional advection…
Dynamic nonlinear multicontinuum homogenization of systems with intrinsically evolving microstructure
Mohammed Al-Kobaisi, Dmitry Ammosov, Yalchin Efendiev +2
In this paper, we propose a multicontinuum homogenization approach for nonlinear problems involving dynamically evolving multiscale media. The main idea of the proposed approach is…
Spatially Distributed Wettability Characterization in Porous Media
Faisal Aljaberi, Hadi Belhaj, Sajjad Foroughi +2
An enhanced geometric algorithm for automated pore-by-pore contact angle measurement from micro-CT images, is presented that achieves superior accuracy compared to existing methods…
Multicontinuum Homogenization for Poroelasticity Model
Dmitry Ammosov, Mohammed Al-Kobaisi, Yalchin Efendiev
In this paper, we derive multicontinuum poroelasticity models using the multicontinuum homogenization method. Poroelasticity models are widely used in many areas of science and eng…
Temporal Neural Operator for Modeling Time-Dependent Physical Phenomena
W. Diab, M. Al-Kobaisi
Neural Operators (NOs) are machine learning models designed to solve partial differential equations (PDEs) by learning to map between function spaces. Neural Operators such as the…