In this paper, we develop a general framework for multicontinuum homogenization in
perforated domains. The simulations of problems in perforated domains are expensive and …

In this paper, we present a multiscale method for simulations of the multicontinua
unsaturated flow problems in heterogeneous fractured porous media. The mathematical …

In this paper, we propose a novel multiscale model reduction strategy tailored to address the
Poisson equation within heterogeneous perforated domains. The numerical simulation of …

We present and discuss a novel approach to deal with conservation properties for the
simulation of nonlinear complex porous media flows in the presence of the following:(1) …

In this paper, we study a multiscale method for simulating a dual-continuum unsaturated flow
problem within complex heterogeneous fractured porous media. Mathematically, each of the …

In this paper, we present the derivation of a multicontinuum model for the coupled flow and
transport equations by applying multicontinuum homogenization. We perform the …

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 …

This letter is concerned with real-time background flow field estimation using distributed
pressure sensor measurements for autonomous underwater vehicles (AUVs). The goal of …

Numerical simulations for flow and transport in subsurface porous media often prove
computationally prohibitive due to property data availability at multiple spatial scales that …

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 …