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Related papers: Modeling and Simulation of Two-Phase Two-Component…

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Subsurface storage of CO$_2$ is an important means to mitigate climate change, and to investigate the fate of CO$_2$ over several decades in vast reservoirs, numerical simulation based on realistic models is essential. Faults and other…

Numerical Analysis · Mathematics 2023-12-12 Per Pettersson , Eirik Keilegavlen , Tor Harald Sandve , Sarah Gasda , Sebastian Krumscheid

We develop a method for modeling and simulating a class of two-phase flows consisting of two immiscible incompressible dielectric fluids and their interactions with imposed external electric fields in two and three dimensions. We first…

Numerical Analysis · Mathematics 2024-07-08 Jielin Yang , Ivan C. Christov , Suchuan Dong

A two-phase, low-Mach-number flow solver is created and verified for variable-density liquid and gas with phase change. The interface is sharply captured using a split Volume-of-Fluid method generalized for a non-divergence-free liquid…

Fluid Dynamics · Physics 2022-06-08 Jordi Poblador-Ibanez , William A. Sirignano

A novel system containing nanoporous materials and carbonate ions is proposed, which is capable to capture CO2 from ambient air simply by controlling the amount of water (humidity) in the system. The system absorbs CO2 from the air when the…

Chemical Physics · Physics 2017-02-02 Xiaoyang Shi , Hang Xiao , Xi Chen , Klaus. S. Lackner

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: 1) multiscale heterogeneity structures appearing in the elliptic-pressure-velocity…

Numerical Analysis · Mathematics 2020-06-15 Juan Galvis , Eduardo Abreu , Ciro Diaz , Jonh Perez

We consider the Dirichlet problem for a compressible two-fluid model in three dimensions, and obtain the global existence of weak solution with large initial data and independent adiabatic constants \Gamma,\gamma>=9/5. The pressure…

Analysis of PDEs · Mathematics 2021-07-27 Huanyao Wen

Carbon dioxide (CO2) hydrates hold promising applications in capturing and separating CO2 for climate change mitigation. Understanding their behavior at the molecular level is therefore essential, and computer simulations have become…

Numerical simulation of compressible fluid flows is performed using the Euler equations. They include the scalar advection equation for the density, the vector advection equation for the velocity and a given pressure dependence on the…

Computational Engineering, Finance, and Science · Computer Science 2018-01-22 Petr N. Vabishchevich

This paper presents the numerical solution of immiscible two-phase flows in porous media, obtained by a first-order finite element method equipped with mass-lumping and flux up-winding. The unknowns are the physical phase pressure and phase…

Numerical Analysis · Mathematics 2021-11-24 M. S. Joshaghani , V. Girault , B. Riviere

We present a fast, unconditionally energy-stable numerical scheme for simulating vesicle deformation under osmotic pressure using a phase-field approach. The model couples an Allen-Cahn equation for the biomembrane interface with a…

Numerical Analysis · Mathematics 2026-01-16 Zhiwei Zhang , Shuwang Li , John Lowengrub , Steven M. Wise

Unit commitment (UC) is one of the most important power system operation problems. To integrate higher penetration of wind power into power systems, more compressed air energy storage (CAES) plants are being built. Existing cavern models…

Signal Processing · Electrical Eng. & Systems 2022-11-28 Junpeng Zhan , Yunfeng Wen , Osama Aslam Ansari , C. Y. Chung

This study presents a detailed, open-source kinetic modelling computational framework for CO2 capture and utilisation using a newly formulated dual-function material (DFM) comprising 15 wt% Ni, 1 wt% Ru, and 10 wt% CaO supported on…

We are concerned with the simulation and control of a two phase flow model governed by a coupled Cahn-Hilliard Navier-Stokes system involving a nonsmooth energy potential. We establish the existence of optimal solutions and present two…

Optimization and Control · Mathematics 2019-07-10 Carmen Gräßle , Michael Hintermüller , Michael Hinze , Tobias Keil

One of the prevailing challenges in Computational Fluid Dynamics is accurate simulation of two-phase flows involving heat and mass transfer across the fluid interface. This is currently an active field of research, which is to some extend…

Fluid Dynamics · Physics 2021-03-02 Henning Scheufler , Johan Roenby

A novel pressure-free two-fluid model formulation is proposed for the simulation of one-dimensional incompressible multiphase flow in pipelines and channels. The model is obtained by simultaneously eliminating the volume constraint and the…

Fluid Dynamics · Physics 2020-10-27 B. Sanderse , J. F. H. Buist , R. A. W. M. Henkes

The coupling between mass transfer and hydrodynamic phenomena in two-phase flow is not necessarily straightforward due to the different effects that can be encountered. The treatment of such coupling is complex and requires particular…

Fluid Dynamics · Physics 2024-12-19 Mirantsoa Aimé Rasolofomanana , Romain Le Tellier , Hervé Henry

This study presents a novel pressure-based methodology for the efficient numerical solution of a four-equation two-phase diffuse interface model. The proposed methodology has the potential to simulate low-Mach flows with mass transfer. In…

Fluid Dynamics · Physics 2021-10-12 Andreas D. Demou , Nicoló Scapin , Marica Pelanti , Luca Brandt

The partial differential equations describing immiscible, but soluble, carbon dioxide (CO2) displacement of brine are developed including local mass-transfer effects. Scaling relationships for characteristic time among laboratory and…

Geophysics · Physics 2023-01-25 Anthony R. Kovscek , Jan Martin Nordbotten , Martin A. Ferno

This paper is devoted to the treatment of specific numerical problems which appear when phase appearance or disappearance occurs in models of two-phase flows. Such models have crucial importance in many industrial areas such as nuclear…

Mathematical Physics · Physics 2014-04-08 Floraine Cordier , Pierre Degond , Anela Kumbaro

We prove global existence of a solution to an initial and boundary value problem for a highly nonlinear PDE system. The problem arises from a thermomechanical dissipative model describing hydrogen storage by use of metal hydrides. In order…

Analysis of PDEs · Mathematics 2015-05-18 Elisabetta Chiodaroli
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