Article
Computer Science, Interdisciplinary Applications
Lingquan Li, Rainald Lohner, Aditya K. Pandare, Hong Luo
Summary: In this paper, a robust and efficient finite volume method with interface sharpening technique is proposed to solve the six-equation multi-fluid single-pressure model for compressible two-phase flows. The performance of the method is evaluated through benchmark test cases, demonstrating its accuracy and efficiency.
JOURNAL OF COMPUTATIONAL PHYSICS
(2022)
Article
Thermodynamics
Yue Jin, Koroush Shirvan
Summary: In this study, the behavior of two-phase flow interface during quench transients is visualized and analyzed using an image processing framework. The temporal variation of the interfacial wave frequency approaching quench is investigated in detail. Detailed phase velocity and temperature profiles are obtained through theoretical analysis based on high-resolution data for the liquid-vapor interface.
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER
(2021)
Article
Engineering, Chemical
Serveh Kamrava, Pejman Tahmasebi, Muhammad Sahimi
Summary: This paper introduces a deep learning network to predict the flow properties of porous membranes based on their morphology. By training the network with high-resolution images and pressure/velocity distribution data, accurate predictions for the desired properties can be achieved.
JOURNAL OF MEMBRANE SCIENCE
(2021)
Article
Mechanics
Cheng-Hsien Lee
Summary: This study developed a multiphase model with a novel evolution equation to address the issues of shear-induced volume change and pore-pressure feedback in submarine granular flows simulated using an Eulerian-Eulerian two-phase model. The evolution equation effectively describes the relaxation process of static solid pressure and shear-induced volume change, allowing the model to capture phenomena such as time delays in initiating flows and different collapse processes for differently packed columns.
JOURNAL OF FLUID MECHANICS
(2021)
Article
Engineering, Multidisciplinary
Ehsan Khamehchi, Amin Bemani
Summary: Accurate prediction of pressure is crucial in the petroleum industry for various applications, and machine learning approaches such as Gradient tree boosting and Extreme Learning Machine have been shown to have excellent performance in oil field calculations. Well-head pressure is identified as the most effective parameter in determining bottom-hole pressure.
Article
Environmental Sciences
Jessica McBeck, Francois Renard
Summary: This study utilizes machine learning to investigate the relationship between two-dimensional and three-dimensional measurements of fracture networks, by analyzing data from X-ray synchrotron triaxial compression experiments. The models developed provide accurate predictions for the porosity and volume of fractures, but have lower accuracy in predicting tortuosity.
WATER RESOURCES RESEARCH
(2022)
Article
Engineering, Chemical
Ahmad Amani, Jordi Muela, Eugenio Schillaci, Jesus Castro
Summary: This article introduces the application of the VOF method based on the PLIC reconstruction algorithm in numerical simulation of interfacial flows, and proposes a method for evaluating the geometric properties of the interface based on a triangular grid. By comparing with commonly used methods, it is found that the proposed methods in this article have significant improvements in calculation accuracy and spatial convergence errors.
Article
Biochemistry & Molecular Biology
Hossein Bonakdari, Jean-Pierre Pelletier, Francois Abram, Johanne Martel-Pelletier
Summary: Using machine learning, we have demonstrated that knee bone curvature can predict cartilage volume loss at one year, which is crucial for risk assessment in patients with knee osteoarthritis.
Article
Computer Science, Interdisciplinary Applications
Xin Wang, Min Luo, Harshinie Karunarathna, Dominic E. Reeve
Summary: In this study, numerical errors and instabilities in the interfacial region are investigated, and a new algorithm with strong temporal coupling and momentum-based velocity reconstruction is proposed to enhance its conservation properties. The capability of the proposed algorithm is demonstrated with two idealized cases and one laboratory dambreak case, showing advantages in the conservation of mass, momentum, energy, and mitigation of unphysical interfacial transport.
JOURNAL OF COMPUTATIONAL PHYSICS
(2023)
Article
Computer Science, Interdisciplinary Applications
Murray Cutforth, Philip T. Barton, Nikos Nikiforakis
Summary: This paper presents a numerical method for simulating two-material flows governed by the compressible unsteady Euler equations, using a system of six equations with a pressure relaxation step. The method employs a volume-of-fluid interface tracking method and a robust update procedure to maintain sharp interface and ensure density and internal energy positivity. Numerical results are shown for various test cases, with agreement with theoretical data and good comparison to other methods for sharpening material interfaces in the five-equation model.
COMPUTERS & FLUIDS
(2021)
Article
Physics, Multidisciplinary
Lin Lin Wang
Summary: There are few studies on the slug flow generation mode obtained by exchanging gas-liquid two-phase inlets. This study used a combination of microfluidic devices and high-speed cameras to investigate the effects of gas-liquid two-phase flow rate and liquid physical parameters on the characteristic length and generation period of slug flow. Dimensionless analysis was conducted to examine the main factors affecting the characteristic length of gas slug. The results showed that the gas flow rate and liquid flow rate had significant impacts on the generation characteristics of slug flow.
FRONTIERS IN PHYSICS
(2023)
Article
Computer Science, Interdisciplinary Applications
Ronald A. Remmerswaal, Arthur E. P. Veldman
Summary: The interface curvature is crucial for the modelling of surface tension in capillary driven flow. Traditional geometric volume of fluid (VOF) methods based on a piecewise linear interface approximation fail to converge under mesh refinement in time-dependent problems. Instead, the proposed piecewise parabolic interface calculation (PPIC) methods, specifically the parabolic LVIRA and MOF methods (PLVIRA and PMOF), accurately capture the interface dynamics. Numerical experiments demonstrate improved reconstruction accuracy, convergence of interface curvature, and Weber number independent convergence in droplet translation problems when using the PPIC methods coupled with a two-phase Navier-Stokes solver. The PLVIRA method is successfully applied to the simulation of a 2D rising bubble, showing good agreement with a reference solution.
JOURNAL OF COMPUTATIONAL PHYSICS
(2022)
Article
Mechanics
Pengfei Lv, Yu Liu, Feng Liu, Wenzhe Yang, Yahui Wang, Hantao Liu, Yongchen Song
Summary: The geometric structure variation of the nonwetting phase (NWP) in porous media plays a critical role in energy-related processes. This study used high resolution x-ray microcomputed tomography (micro-CT) to investigate the morphological and topological characteristics of NWP during gas/liquid displacements in three different rock cores. It was found that roof and distal snap-off occurred during drainage, resulting in nonwetting singlets and ganglia. Throat snap-off and pore snap-off were observed during imbibition, occurring at a single-pore scale. The trapped NWP during primary drainage can be displaced in main imbibition through snap-off events or viscous remobilization.
Article
Mechanics
Vignesh Ramakrishnan, Remil Mushthaq, Anubhab Roy, S. Vengadesan
Summary: In this study, the effect of wall slip on the stability of a two-layered plane Poiseuille flow was investigated using mathematical modeling and numerical methods. It was found that wall slip has both stabilizing and destabilizing effects on the flow system.
Article
Computer Science, Interdisciplinary Applications
Bernat Font, Gabriel D. Weymouth, Vinh-Tan Nguyen, Owen R. Tutty
Summary: The study proposes a novel flow decomposition and machine learning method to improve the efficiency of turbulent fluid flow simulations around long cylindrical structures. The trained machine learning model shows good predictive capability under different Reynolds numbers and body shapes.
JOURNAL OF COMPUTATIONAL PHYSICS
(2021)
Article
Computer Science, Interdisciplinary Applications
T. Arrufat, M. Crialesi-Esposito, D. Fuster, Y. Ling, L. Malan, S. Pal, R. Scardovelli, G. Tryggvason, S. Zaleski
Summary: The study focuses on the computation of flows with large density contrasts, using a discretization of the Navier-Stokes equation and considering the impact of capillary forces on incompressible flows. Mass and momentum advection is done in a consistent manner, incorporating the Volume-of-Fluid method and Height-Function method, along with different volume fraction advection methods.
COMPUTERS & FLUIDS
(2021)
Article
Computer Science, Interdisciplinary Applications
W. Aniszewski, T. Arrufat, M. Crialesi-Esposito, S. Dabiri, D. Fuster, Y. Ling, J. Lu, L. Malan, S. Pal, R. Scardovelli, G. Tryggvason, P. Yecko, S. Zaleski
Summary: Paris is a finite volume code specializing in simulations of immiscible multifluid or multiphase flows, based on the “one-fluid” formulation of the Navier-Stokes equations with interface tracking by Front-Tracking or Volume-of-Fluid method. It is written in Fortran, parallelized with MPI and domain decomposition.
COMPUTER PHYSICS COMMUNICATIONS
(2021)
Article
Mechanics
Xianyang Chen, Jiacai Lu, Gretar Tryggvason
Summary: This study examines a process for coarsening or filtering fully resolved numerical solutions for incompressible multiphase flows while retaining a sharp interface. Different phases are identified using an index function and small flow scales are embedded in other phases by solving diffusion equations with modified coefficients. This approach results in solutions similar to filtered fully resolved fields, particularly for the Rayleigh-Taylor instability at early times.
Article
Mechanics
Ugis Lacis, Michele Pellegrino, Johan Sundin, Gustav Amberg, Stephane Zaleski, Berk Hess, Shervin Bagheri
Summary: The molecular processes of the motion of the contact line were characterized to assess the accuracy of two continuum two-phase models. The calibrated continuum models accurately captured droplet displacement and break-up, but differences were observed near dynamic wetting transitions when compared to atomistic simulations.
JOURNAL OF FLUID MECHANICS
(2022)
Article
Mechanics
Mikhail Panfilov, Stephane Zaleski
Summary: This paper analyzes the problem of injecting water with micro-organisms into an underground porous medium containing another fluid. The study focuses on the change in capillary and wetting properties between the fluids due to the metabolite produced by the microbes, which increases the oil mobility. The qualitative theory and analytical solution for this process are developed based on the discontinuity of the fractional flow function with respect to the surfactant concentration. The physical implications of the triple jump and thorns, which represent rapid variations in wetting, are also discussed.
Article
Computer Science, Interdisciplinary Applications
Leonardo Chirco, Stephane Zaleski
Summary: We propose a novel class of edge-based interface-tracking methods (EBIT) for advecting the interface in multiphase flows. The method tracks the position of the interface using marker points located on the edges of the grid, making it flexible for different spatial discretization choices and suitable for parallel computation. In this article, we present a simple EBIT method based on two-dimensional Cartesian grids and a linear interface representation.
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS
(2023)
Article
Computer Science, Interdisciplinary Applications
Leonardo Chirco, Jacob Maarek, Stephane Popinet, Stephane Zaleski
Summary: A drawback of the Volume-Of-Fluid (VOF) method is that the breakup of thin liquid films or filaments is mainly caused by numerical aspects. This study presents a novel algorithm to detect and perforate thin structures, improving the convergence of the droplet size distribution and enstrophy.
JOURNAL OF COMPUTATIONAL PHYSICS
(2022)
Article
Mechanics
Mandeep Saini, Erwan Tanne, Michel Arrigoni, Stephane Zaleski, Daniel Fuster
Summary: This work reveals that the response of a spherical cap bubble in contact with a rigid wall is influenced by the effective contact angle before collapse. The findings distinguish between two regimes with significantly different mechanisms of interaction between the collapsing bubble and its surrounding medium. The results have potential applications in various fields including geophysical flows and biomedical applications.
JOURNAL OF FLUID MECHANICS
(2022)
Article
Mechanics
Xianyang Chen, Jiacai Lu, Stephane Zaleski, Gretar Tryggvason
Summary: This article reports a study that uses skeletonization to describe complex liquid droplet structures. By diffusing an index function and moving the interfaces accordingly, the skeleton of the droplet can be obtained, representing its basic topology. Various quantitative measures are also explored to characterize and distinguish the skeleton structures of the droplets.
Article
Physics, Fluids & Plasmas
Xianyang Chen, Jiacai Lu, Gretar Tryggvason
Summary: This study uses machine learning to develop closure terms for a coarse grained model of two-dimensional turbulent flow directly from coarse grained data, accurately predicting the time evolution of the flow field.
Article
Mechanics
Wenbin Li, Jiacai Lu, Gretar Tryggvason, Ying Zhang
Summary: The self-transport of droplets on discontinuous wetting gradient surfaces is influenced by surface roughness, affecting both the transport velocity and stability of motion.
Article
Computer Science, Interdisciplinary Applications
Tian Liang, Lin Fu
Summary: In this work, a new shock-capturing framework is proposed based on a new candidate stencil arrangement and the combination of infinitely differentiable non-polynomial RBF-based reconstruction in smooth regions with jump-like non-polynomial interpolation for genuine discontinuities. The resulting scheme achieves high order accuracy and resolves genuine discontinuities with sub-cell resolution.
JOURNAL OF COMPUTATIONAL PHYSICS
(2024)
Article
Computer Science, Interdisciplinary Applications
Lukas Lundgren, Murtazo Nazarov
Summary: In this paper, a high-order accurate finite element method for incompressible variable density flow is introduced. The method addresses the issues of saddle point system and stability problem through Schur complement preconditioning and artificial compressibility approaches, and it is validated to have high-order accuracy for smooth problems and accurately resolve discontinuities.
JOURNAL OF COMPUTATIONAL PHYSICS
(2024)
Article
Computer Science, Interdisciplinary Applications
Gabriele Ciaramella, Laurence Halpern, Luca Mechelli
Summary: This paper presents a novel convergence analysis of the optimized Schwarz waveform relaxation method for solving optimal control problems governed by periodic parabolic PDEs. The analysis is based on a Fourier-type technique applied to a semidiscrete-in-time form of the optimality condition, which enables a precise characterization of the convergence factor at the semidiscrete level. The behavior of the optimal transmission condition parameter is also analyzed in detail as the time discretization approaches zero.
JOURNAL OF COMPUTATIONAL PHYSICS
(2024)
Article
Computer Science, Interdisciplinary Applications
Jonas A. Actor, Xiaozhe Hu, Andy Huang, Scott A. Roberts, Nathaniel Trask
Summary: This article introduces a scientific machine learning framework that uses a partition of unity architecture to model physics through control volume analysis. The framework can extract reduced models from full field data while preserving the physics. It is applicable to manifolds in arbitrary dimension and has been demonstrated effective in specific problems.
JOURNAL OF COMPUTATIONAL PHYSICS
(2024)
Article
Computer Science, Interdisciplinary Applications
Nozomi Magome, Naoki Morita, Shigeki Kaneko, Naoto Mitsume
Summary: This paper proposes a novel strategy called B-spline based SFEM to fundamentally solve the problems of the conventional SFEM. It uses different basis functions and cubic B-spline basis functions with C-2-continuity to improve the accuracy of numerical integration and avoid matrix singularity. Numerical results show that the proposed method is superior to conventional methods in terms of accuracy and convergence.
JOURNAL OF COMPUTATIONAL PHYSICS
(2024)
Article
Computer Science, Interdisciplinary Applications
Timothy R. Law, Philip T. Barton
Summary: This paper presents a practical cell-centred volume-of-fluid method for simulating compressible solid-fluid problems within a pure Eulerian setting. The method incorporates a mixed-cell update to maintain sharp interfaces, and can be easily extended to include other coupled physics. Various challenging test problems are used to validate the method, and its robustness and application in a multi-physics context are demonstrated.
JOURNAL OF COMPUTATIONAL PHYSICS
(2024)
Article
Computer Science, Interdisciplinary Applications
Xing Ji, Fengxiang Zhao, Wei Shyy, Kun Xu
Summary: This paper presents the development of a third-order compact gas-kinetic scheme for compressible Euler and Navier-Stokes solutions, constructed particularly for an unstructured tetrahedral mesh. The scheme demonstrates robustness in high-speed flow computation and exhibits excellent adaptability to meshes with complex geometrical configurations.
JOURNAL OF COMPUTATIONAL PHYSICS
(2024)
Article
Computer Science, Interdisciplinary Applications
Alsadig Ali, Abdullah Al-Mamun, Felipe Pereira, Arunasalam Rahunanthan
Summary: This paper presents a novel Bayesian statistical framework for the characterization of natural subsurface formations, and introduces the concept of multiscale sampling to localize the search in the stochastic space. The results show that the proposed framework performs well in solving inverse problems related to porous media flows.
JOURNAL OF COMPUTATIONAL PHYSICS
(2024)
Article
Computer Science, Interdisciplinary Applications
Jacob Rains, Yi Wang, Alec House, Andrew L. Kaminsky, Nathan A. Tison, Vamshi M. Korivi
Summary: This paper presents a novel method called constrained optimized DMD with Control (cOptDMDc), which extends the optimized DMD method to systems with exogenous inputs and can enforce the stability of the resulting reduced order model (ROM). The proposed method optimally places eigenvalues within the stable region, thus mitigating spurious eigenvalue issues. Comparative studies show that cOptDMDc achieves high accuracy and robustness.
JOURNAL OF COMPUTATIONAL PHYSICS
(2024)
Article
Computer Science, Interdisciplinary Applications
Andrea La Spina, Jacob Fish
Summary: This work introduces a hybridizable discontinuous Galerkin formulation for simulating ideal plasmas. The proposed method couples the fluid and electromagnetic subproblems monolithically based on source and employs a fully implicit time integration scheme. The approach also utilizes a projection-based divergence correction method to enforce the Gauss laws in challenging scenarios. Numerical examples demonstrate the high-order accuracy, efficiency, and robustness of the proposed formulation.
JOURNAL OF COMPUTATIONAL PHYSICS
(2024)
Article
Computer Science, Interdisciplinary Applications
Junhong Yue, Peijun Li
Summary: This paper proposes two numerical methods (IP-FEM and BP-FEM) to study the flexural wave scattering problem of an arbitrary-shaped cavity on an infinite thin plate. These methods successfully decompose the fourth-order plate wave equation into the Helmholtz and modified Helmholtz equations with coupled conditions on the cavity boundary, providing an effective solution to this challenging problem.
JOURNAL OF COMPUTATIONAL PHYSICS
(2024)
Article
Computer Science, Interdisciplinary Applications
William Anderson, Mohammad Farazmand
Summary: We develop fast and scalable methods, called RONS, for computing reduced-order nonlinear solutions. These methods have been proven to be highly effective in tackling challenging problems, but become computationally prohibitive as the number of parameters grows. To address this issue, three separate methods are proposed and their efficacy is demonstrated through examples. The application of RONS to neural networks is also discussed.
JOURNAL OF COMPUTATIONAL PHYSICS
(2024)
Article
Computer Science, Interdisciplinary Applications
Marco Caliari, Fabio Cassini
Summary: In this paper, a second order exponential scheme for stiff evolutionary advection-diffusion-reaction equations is proposed. The scheme is based on a directional splitting approach and uses computation of small sized exponential-like functions and tensor-matrix products for efficient implementation. Numerical examples demonstrate the advantage of the proposed approach over state-of-the-art techniques.
JOURNAL OF COMPUTATIONAL PHYSICS
(2024)
Article
Computer Science, Interdisciplinary Applications
Sebastiano Boscarino, Seung Yeon Cho, Giovanni Russo
Summary: This work proposes a high order conservative semi-Lagrangian method for the inhomogeneous Boltzmann equation of rarefied gas dynamics. The method combines a semi-Lagrangian scheme for the convection term, a fast spectral method for computation of the collision operator, and a high order conservative reconstruction and a weighted optimization technique to preserve conservative quantities. Numerical tests demonstrate the accuracy and efficiency of the proposed method.
JOURNAL OF COMPUTATIONAL PHYSICS
(2024)
Article
Computer Science, Interdisciplinary Applications
Jialei Li, Xiaodong Liu, Qingxiang Shi
Summary: This study shows that the number, centers, scattering strengths, inner and outer diameters of spherical shell-structured sources can be uniquely determined from the far field patterns. A numerical scheme is proposed for reconstructing the spherical shell-structured sources, which includes a migration series method for locating the centers and an iterative method for computing the inner and outer diameters without computing derivatives.
JOURNAL OF COMPUTATIONAL PHYSICS
(2024)