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Numerical simulation of multiphase compositional flow in fractured porous media, when all the species can transfer between the phases, is a real challenge. Despite the broad applications in hydrocarbon reservoir engineering and hydrology, a…

Computational Physics · Physics 2015-06-15 Joachim Moortgat , Abbas Firoozabadi

The simulation of heat flow through heterogeneous material is important for the design of structural and electronic components. Classical analytical solutions to the heat equation PDE are not known for many such domains, even those having…

Numerical Analysis · Mathematics 2019-05-21 Andrew Loeb , Christopher Earls

In this article, a finite element model is implemented to analyze hydro-thermal convective flow in a porous medium. The mathematical model encompasses Darcy's law for incompressible fluid behavior, which is coupled with a…

Numerical Analysis · Mathematics 2024-02-27 S. M. Mallikarjunaiah , Dambaru Bhatta

We present a new theoretical and computational framework for modelling electro-chemo-mechanical fracture. The model combines a phase field description of fracture with a fully coupled characterisation of electrolyte behaviour, surface…

Computational Engineering, Finance, and Science · Computer Science 2023-08-02 T. Hageman , E. Martínez-Pañeda

In this paper, we develop a multiscale model reduction technique that describes shale gas transport in fractured media. Due to the pore-scale heterogeneities and processes, we use upscaled models to describe the matrix. We follow our…

Computational Engineering, Finance, and Science · Computer Science 2015-07-03 I. Y. Akkutlu , Yalchin Efendiev , Maria Vasilyeva

The goal of this paper is to assess the utility of Reduced-Order Models (ROMs) developed from 3D physics-based models for predicting transient thermal power output for an enhanced geothermal reservoir while explicitly accounting for…

Computational Engineering, Finance, and Science · Computer Science 2018-06-18 M. K. Mudunuru , S. Karra , D. R. Harp , G. D. Guthrie , H. S. Viswanathan

Pore-scale simulations accurately describe transport properties of fluids in the subsurface. These simulations enhance our understanding of applications such as assessing hydrogen storage efficiency and forecasting CO$_2$ sequestration…

Reservoir simulators utilize numerical techniques to solve the governing equations of fluid flow in porous media and they are essential tool for oil and gas fields development. In practical reservoir simulation, the finite difference method…

Fluid Dynamics · Physics 2023-11-14 Taofik H. Nassan , Mohd Amro

Modeling coupled processes in fractured porous media -- flow, deformation, fracture mechanics, and thermal/chemical effects -- often relies on mixed dimensional multiphysics formulations. These systems are nonlinear and depend on physical…

Geophysics · Physics 2026-03-03 Jakub Wiktor Both , Inga Berre

The numerical simulation of fluid flow through a complex geometry with heat transfer is of strong interest for many applications, such as oil-filled power transformers. A fundamental challenge here is that high resolution is necessary to…

Computational Physics · Physics 2020-10-19 Ole H. H. Meyer , Karl Yngve Lervåg , Åsmund Ervik

We propose a new unfitted finite element method for simulation of two-phase flows in presence of insoluble surfactant. The key features of the method are 1) discrete conservation of surfactant mass; 2) the possibility of having meshes that…

Numerical Analysis · Mathematics 2022-11-30 Thomas Frachon , Sara Zahedi

Understanding microstructural evolution under extreme thermal conditions is essential for advancing metal additive manufacturing (AM). This work demonstrates the feasibility of employing micro-electro-mechanical system (MEMS) heating…

Materials Science · Physics 2026-01-12 C. Koenig , P. Mayr , J. R. Jinschek , A. Bastos Fanta

The density-based bi-objective topology optimization (TO) has been widely adopted in liquid cooling plate design, where the design domain is treated as porous media with porosity as the design variable. However, conventional TO method…

Applied Physics · Physics 2026-04-07 Zixu Han , Kairan Yang , Peng Zhang

The discrete element method (DEM) coupled with computational fluid dynamics (CFD), has been developed to simulate complex solid-fluid flow systems. Today, DEM is regarded as an established approach, with extensive applications in industrial…

Fluid Dynamics · Physics 2025-10-16 Toshiki Imatani , Mikio Sakai

Convection-driven cooling in porous media influences thermo-poro-mechanical stresses, thereby causing deformation. These processes are strongly influenced by the presence of fractures, which dominate flow and heat transfer. At the same…

Numerical Analysis · Mathematics 2020-12-14 Ivar Stefansson , Eirik Keilegavlen , Sæunn Halldórsdóttir , Inga Berre

To maximize value from an EGS system, engineers need to optimize flow rate, well spacing, and well configuration. Numerical simulations yield interesting and surprising results regarding the effect of coupled processes on long term thermal…

Geophysics · Physics 2023-08-08 Mark McClure

This work presents a novel three-dimensional Crack Element Method (CEM) designed to model transient dynamic crack propagation in quasi-brittle materials efficiently. CEM introduces an advanced element-splitting algorithm that enables…

Computational Engineering, Finance, and Science · Computer Science 2025-08-07 Yuxi Xie , C. T. Wu , Wei Hu , Lu Xu , Tinh Q. Bui , Shaofan Li

This work develops novel energy-stable parametric finite element methods (ES-PFEM) for the Willmore flow and curvature-dependent geometric gradient flows of surfaces in three dimensions. The key to achieving the energy stability lies in the…

Numerical Analysis · Mathematics 2025-10-06 Weizhu Bao , Yifei Li , Dongmin Wang

Understanding and controlling fracture propagation is one of the most challenging engineering problems, especially in the oil and gas sector, groundwater hydrology and geothermal energy applications. Predicting the fracture orientation…

Materials Science · Physics 2023-04-04 Ramesh Kannan Kandasami , Charalampos Konstantinou , Giovanna Biscontin

Many geo-engineering applications, e.g., enhanced geothermal systems, rely on hydraulic fracturing to enhance the permeability of natural formations and allow for sufficient fluid circulation. Over the past few decades, the phase-field…

Geophysics · Physics 2023-04-27 Fan Fei , Andre Costa , John E. Dolbow , Randolph R. Settgast , Matteo Cusini