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Related papers: Multiphase Flow Modelling in Multiscale Porous Med…

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In this work, we aimed to replicate and extend the results presented in the DiffFluid paper[1]. The DiffFluid model showed that diffusion models combined with Transformers are capable of predicting fluid dynamics. It uses a denoising…

Fluid Dynamics · Physics 2025-07-14 Yannick Gachnang , Vismay Churiwala

Modeling coupled systems of free flow adjacent to a porous medium by means of fully resolved Navier-Stokes equations is limited by the immense computational cost and is thus only feasible for relatively small domains. Model reduction allows…

Computational Physics · Physics 2019-08-07 Kilian Weishaupt , Alexandros Terzis , Ioannis Zarikos , Guang Yang , Matthijs de Winter , Rainer Helmig

We present a new method for simulating incompressible immiscible two-phase flow in porous media. The semi-implicit method decouples the wetting phase pressure and saturation equations. The equations are discretized using a hybridizable…

Computational Engineering, Finance, and Science · Computer Science 2018-02-19 Maurice S. Fabien , Matthew G. Knepley , Beatrice M. Riviere

In this work, we first propose a diffuse-interface model for the freezing processes of three-phase flows in complex geometries, and the core of the model to intergratge the Navier-Stokes equations for fluid flows, a modified phase-field…

Fluid Dynamics · Physics 2025-10-22 Jiangxu Huang , Chengjie Zhan , Zhenhua Chai , Changsheng Huang

In this paper, we are concerned with the simulation of blood flow in microvascular networks and the surrounding tissue. To reduce the computational complexity of this issue, the network structures are modeled by a one-dimensional graph,…

Numerical Analysis · Mathematics 2023-05-01 Ettore Vidotto , Timo Koch , Tobias Köppl , Rainer Helmig , Barbara Wohlmuth

In energy science, Darcy flow in heterogeneous porous media is a central problem in reservoir sim-ulation. However, the pronounced multiscale characteristics of such media pose significant challenges to conventional numerical methods in…

Numerical Analysis · Mathematics 2025-11-27 Peiqi Li , Jie Chen

Two-phase flow systems in porous media have complex dynamics. It is well established that a wide range of system parameters like viscosities and porosity as well as flow parameters such as pressure gradient and fluid saturation have strong…

Condensed Matter · Physics 2007-05-23 Henning Arendt Knudsen , Alex Hansen

Multicomponent multiphase reactive transport processes with dissolution-precipitation are widely encountered in energy and environment systems. A pore-scale two-phase multi-mixture model based on the lattice Boltzmann method (LBM) is…

Fluid Dynamics · Physics 2015-04-09 Li Chen , Qinjun Kang , Qing Tang , Bruce A. Robinson , Ya-Ling He , Wen-Quan Tao

In this work, a thermodynamically consistent and conservative diffuse-interface model for gas-liquid-solid multiphase flows is proposed. In this model, a novel free energy for the gas-liquid-solid multiphase flows is established according…

Fluid Dynamics · Physics 2025-04-09 Chengjie Zhan , Xi Liu , Zhenhua Chai , Baochang Shi

In this note, the existing porousMultiphaseFoam toolbox, developed initially for any two-phase flow in porous media is extended to the specific case of the Richards' equation which neglect the pressure gradient of the non-wetting phase.…

Computational Engineering, Finance, and Science · Computer Science 2015-10-07 Pierre Horgue , Jacques Franc , Romain Guibert , Gérald Debenest

OpenCAEPoro is a parallel numerical simulation software developed in C++ for simulating multiphase and multicomponent flows in porous media. The software utilizes a set of general-purpose compositional model equations, enabling it to handle…

Mathematical Software · Computer Science 2024-06-18 Shizhe Li , Chen-Song Zhang

In this work, we first propose a diffuse interface model for simulating N phase flows with solid liquid phase change. In this model, a phase field approach is adopted to capture multiphase fluid interfaces, and an enthalpy based formulation…

Fluid Dynamics · Physics 2026-03-25 Jiangxu Huang , Chengjie Zhan , Zhenhua Chai , Changsheng Huang , Xi Liu

High-velocity fluid flow through porous media is modeled by prescribing a nonlinear relationship between the flow rate and the pressure gradient, called the Darcy--Forchheimer equation. This paper is concerned with the analysis of parallel…

Numerical Analysis · Mathematics 2026-04-03 Jongho Park , S. Majid Hassanizadeh

In this paper, a double multiple-relaxation-time lattice Boltzmann model is developed for simulating transient solid-liquid phase change problems in porous media at the representative elementary volume scale. The model uses two different…

Fluid Dynamics · Physics 2015-03-31 Qing Liu , Ya-Ling He

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…

In this work, we analyze the flow filtration process of slightly compressible fluids in porous media containing man made fractures with complex geometries. We model the coupled fracture-porous media system where the linear Darcy flow is…

Analysis of PDEs · Mathematics 2024-05-29 Pushpi Paranamana , Eugenio Aulisa , Akif Ibragimov , Magdalena Toda

We report the results of a study of multiphase flow in porous media. A Darcy's law for steady multiphase flow was investigated for both binary and ternary amphiphilic flow. Linear flux-forcing relationships satisfying Onsager reciprocity…

Soft Condensed Matter · Physics 2009-11-07 Peter J. Love , Jean-Bernard Maillet , Peter V. Coveney

A poromechanical model of partially saturated deformable porous media is proposed based on a phase field approach at modeling the behavior of the mixture of liquid water and wet air, which saturates the pore space, the phase field being the…

Soft Condensed Matter · Physics 2016-06-22 Giulio Sciarra

In this paper, we propose a physics-preserving multiscale method to solve an immiscible two-phase flow problem, which is modeled as a coupling system consisting of Darcy's law and mass conservation equations. We use a new Physics-preserving…

Numerical Analysis · Mathematics 2022-12-13 Yiran Wang , Eric Chung , Shuyu Sun

We consider the application of multilevel Monte Carlo methods to steady state Darcy flow in a random porous medium, described mathematically by elliptic partial differential equations with random coefficients. The levels in the multilevel…

Numerical Analysis · Mathematics 2015-06-16 Minho Park , Aretha Teckentrup
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