Article
Mathematics, Applied
Xiaolei Yuan, Yao Wu, Chunhua Zhang, Zhenhua Chai, Baochang Shi
Summary: In this work, we propose a unified framework of phase-field-based multiple-relaxation-time lattice Boltzmann (MRT-LB) method for incompressible multiphase flows with density and viscosity contrasts. The framework includes the classic MRT-LB model and central-moments-based LB model (CLBM). The governing equations of incompressible multiphase flows can be accurately reproduced through direct Taylor expansion method at the second-order of expansion parameters. The present model shows better numerical stability and accuracy compared to the traditional Bhatnagar-Gross-Krook (BGK) model, and is capable of simulating multiphase flow problems with large density ratio (1000).
COMPUTERS & MATHEMATICS WITH APPLICATIONS
(2023)
Article
Mathematics, Applied
Qiaozhong Li, Xiaodong Niu, Zhiliang Lu, You Li, Adnan Khan, Zishu Yu
Summary: An improved single-relaxation-time multiphase lattice Boltzmann method is developed for simulating multiphase flows with large density ratios and high Reynolds numbers, showing good stability and reliability in complex multiphase flow simulations.
ADVANCES IN APPLIED MATHEMATICS AND MECHANICS
(2021)
Article
Computer Science, Software Engineering
Wei Li, Yihui Ma, Xiaopei Liu, Mathieu Desbrun
Summary: This paper proposes a new solver for coupling the incompressible Navier-Stokes equations with a conservative phase-field equation to simulate multiphase flows. The resulting solver shows efficiency, versatility, and reliability in dealing with large density ratios, high Reynolds numbers, and complex solid boundaries.
ACM TRANSACTIONS ON GRAPHICS
(2022)
Article
Mechanics
Yao Xiao, Zhong Zeng, Liangqi Zhang, Jingzhu Wang, Yiwei Wang, Hao Liu, Chenguang Huang
Summary: In this paper, a phase-field-based spectral element method is proposed for solving the Navier-Stokes/Cahn-Hilliard equations in incompressible two-phase flows. Three constant coefficient matrixes are constructed for velocity, pressure, and phase variable solutions using the Newton-Raphson method and time-stepping scheme. The use of modified bulk free energy density ensures the boundedness of the Cahn-Hilliard equation solution. The proposed approach demonstrates high accuracy and enhanced computation efficiency for capturing interfacial dynamics.
Article
Computer Science, Interdisciplinary Applications
Liuming Yang, Chang Shu, Zhen Chen, Yan Wang, Guoxiang Hou
Summary: The article introduces a finite volume-based multiphase lattice Boltzmann flux solver (MLBFS), and proposes a simplified MLBFS method that reconstructs fluxes using a combination of distribution functions and macroscopic variables to improve computational efficiency. The simplified method saved up to 18.32% of computational time in some experiments.
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS
(2021)
Article
Mechanics
Shi-Ting Zhang, Jin-Xiang Zhou, Hong-Wei Xiao, Xiao-Dong Niu, Huaxian Wei, Adnan Khan, De-Cai Li, Hiroshi Yamaguchi
Summary: This paper proposes a generalized conservative phase-field simplified lattice Boltzmann method for both miscible and immiscible ternary flow problems. The method extends the simplified multiphase lattice Boltzmann method (SMLBM) for two-phase flows to ternary flows by using a generalized conservative equation with Lagrange multiplier. The numerical results demonstrate that the method can effectively simulate ternary flows and accurately simulate miscible ternary flows.
INTERNATIONAL JOURNAL OF MULTIPHASE FLOW
(2022)
Article
Mechanics
Qiao-Zhong Li, Zhi-Liang Lu, Zhen Chen, Chang Shu, Yang-Yang Liu, Tong-Qing Guo, Zhi-Lang Zhang
Summary: In this study, a simplified phase-field lattice Boltzmann method (SPFLBM) is proposed to efficiently simulate multiphase flows with complex interfaces and large density ratios. The method utilizes a recently developed simplified multiphase lattice Boltzmann method (SMLBM) as the basic flow solver, which directly and explicitly evolves the macroscopic variables within the lattice Boltzmann framework. The conservative Allen-Chan equation is chosen as the target equation for interface tracking and is resolved by the simplified lattice Boltzmann method. Compared with the conventional lattice Boltzmann model, the SPFLBM consumes less virtual memory and allows direct implementation of physical boundary conditions. Meanwhile, it inherits the capability of describing microscopic interactions from the standard lattice Boltzmann method and enjoys good numerical stability from the reconstruction strategy in SMLBM. Several two-dimensional numerical examples demonstrate the robustness of the proposed method for multiphase flow simulations, showing that it can handle complex interface deformation and capture subtle multiphase flow phenomena.
INTERNATIONAL JOURNAL OF MULTIPHASE FLOW
(2023)
Article
Computer Science, Interdisciplinary Applications
Maciej Matyka, Michal Dzikowski
Summary: The study simplified the Lattice Boltzmann Method algorithm by assuming constant numerical viscosity and conducted simulations to test it. The results showed that the new method is simpler and less error-prone in implementation, requiring less working memory in low Reynolds number flows but less efficient in multiphase flows. Therefore, further extension and the moments-only formulation were proposed to address this issue.
COMPUTER PHYSICS COMMUNICATIONS
(2021)
Article
Engineering, Multidisciplinary
Yajin Zhang, Bo Dong, Xiang An, Yong Wang, Xun Zhou, Weizhong Li
Summary: A phase-field-based lattice Boltzmann model is proposed for ternary fluid flows, with verification of computational accuracy and capability through benchmark cases related to stationary droplets, liquid lens spreading, and phase separation of a ternary fluid mixture. Furthermore, a wetting boundary scheme applicable to ternary fluid flows is developed, showing good performance in eliminating undesired numerical artifacts.
APPLIED MATHEMATICAL MODELLING
(2022)
Article
Physics, Multidisciplinary
He Wang, Fang-Bao Tian, Xiang-Dong Liu
Summary: In this paper, a phase-field-based lattice Boltzmann model is proposed for capturing interfaces in multi-phase flows, and its accuracy and reliability are demonstrated through numerical simulations.
Article
Computer Science, Interdisciplinary Applications
Farzaneh Hajabdollahi, Kannan N. Premnath, Samuel W. J. Welch
Summary: This article introduces a unified cascaded LB method based on central moments for solving incompressible two-phase flows at high density ratios and capturing interfacial dynamics.
JOURNAL OF COMPUTATIONAL PHYSICS
(2021)
Article
Mechanics
Xiang Li, Zhi-Qiang Dong, Yan Li, Lian-Ping Wang, Xiao-Dong Niu, Hiroshi Yamaguchi, De-Cai Li, Peng Yu
Summary: In this study, a robust fractional-step lattice Boltzmann (FSLB) method is proposed to simulate mass transfer in incompressible multiphase flows with complex interfacial behavior and large density contrast. The FSLB method employs the Chapman-Enskog expansion analysis to reconstruct the governing equations with second-order accuracy. Several benchmark problems are used to validate the capability and reliability of the FSLB method. The results show good agreement with published numerical data.
INTERNATIONAL JOURNAL OF MULTIPHASE FLOW
(2022)
Article
Physics, Multidisciplinary
Seyed Ali Hosseini, Hesameddin Safari, Dominique Thevenin
Summary: The study introduces an algorithm for higher Reynolds/Weber numbers by combining a decoupled phase-field formulation and a cumulant-based collision operator. The algorithm was validated through various test cases, accurately capturing flow dynamics and matching reference results.
Article
Chemistry, Multidisciplinary
Yuhao Guo, Yan Wang, Qiqi Hao, Tongguang Wang
Summary: An interface-corrected diffuse interface method is proposed for simulating incompressible multiphase flows with large density ratios. The method maintains both mass conservation and interface shapes by introducing an interface correction term and a mass correction term. The method also includes an improved multiphase lattice Boltzmann flux solver, which reduces interface diffusion and ensures control over interface thickness and mass conservation.
APPLIED SCIENCES-BASEL
(2022)
Article
Computer Science, Interdisciplinary Applications
Haonan Peng, Jianmin Zhang, Xiaolong He, Yurong Wang
Summary: The paper explores the collapse process of cavitation bubbles near a rigid boundary using the double distribution function thermal lattice Boltzmann method. The simulation results show that this method is reliable for studying thermal cavitation bubble dynamics.
COMPUTERS & FLUIDS
(2021)
Article
Mathematics, Applied
D. Mierke, C. F. Janssen, T. Rung
COMPUTERS & MATHEMATICS WITH APPLICATIONS
(2020)
Article
Mathematics, Applied
Ehsan Kian Far, Martin Geier, Manfred Krafczyk
COMPUTERS & MATHEMATICS WITH APPLICATIONS
(2020)
Article
Mathematics, Applied
Andrea Pasquali, Martin Geier, Manfred Krafczyk
COMPUTERS & MATHEMATICS WITH APPLICATIONS
(2020)
Article
Oceanography
Morteza Derakhti, James T. Kirby, Michael L. Banner, Stephan T. Grilli, Jim Thomson
JOURNAL OF GEOPHYSICAL RESEARCH-OCEANS
(2020)
Correction
Thermodynamics
S. A. Hosseini, H. Safari, N. Darabiha, D. Thevenin, M. Krafczyk
COMBUSTION AND FLAME
(2020)
Article
Mechanics
Martin Geier, Stephan Lenz, Martin Schoenherr, Manfred Krafczyk
Summary: In this study, a comprehensive analysis of the cumulant lattice Boltzmann model with different variants was conducted on the three-dimensional Taylor-Green vortex at Reynolds number 1600. The findings show that cumulant models with fourth-order convergent diffusion perform better than single relaxation time methods, while the application of a cumulant model combined with a WALE turbulence model is not effective for the Taylor-Green vortex at a Reynolds number of 1600.
THEORETICAL AND COMPUTATIONAL FLUID DYNAMICS
(2021)
Article
Computer Science, Interdisciplinary Applications
Pierre Lallemand, Li-Shi Luo, Manfred Krafczyk, Wen-An Yong
Summary: This review summarizes the rigorous mathematical theory behind the lattice Boltzmann equation (LBE), including the relevant properties of the Boltzmann equation, derivation of the LBE, and important LBE models. The focus is on the numerical analysis of the LBE as a solver for the nearly incompressible Navier-Stokes equations with appropriate boundary conditions, with several numerical results provided to demonstrate the efficacy of the lattice Boltzmann method.
JOURNAL OF COMPUTATIONAL PHYSICS
(2021)
Article
Multidisciplinary Sciences
J. E. Hunt, D. R. Tappin, S. F. L. Watt, S. Susilohadi, A. Novellino, S. K. Ebmeier, M. Cassidy, S. L. Engwell, S. T. Grilli, M. Hanif, W. S. Priyanto, M. A. Clare, M. Abdurrachman, U. Udrekh
Summary: This study provides a high-resolution characterization of both subaerial and submarine components of a volcanic flank collapse, revealing the extensive failure and landslide deposit. The findings are consistent with en-masse lateral collapse scenarios, and highlight the potential for rapid island growth leading to large-scale failure. Post-collapse eruptions resulted in the burial of the scar and landslide deposit with tephra.
NATURE COMMUNICATIONS
(2021)
Article
Chemistry, Physical
Hussein Alihussein, Martin Geier, Manfred Krafczyk
Summary: This paper presents a framework for modeling and simulating physical/chemical processes in porous materials, with a focus on improving lattice Boltzmann methods for predicting mass transport and reaction in porous media.
Article
Geosciences, Multidisciplinary
Stephan T. Grilli, Maryam Mohammadpour, Lauren Schambach, Annette R. Grilli
Summary: The study modeled tsunami coastal hazard along the US East Coast, considering 18 coseismic sources and parameterizing and simulating their impact on tsunamis. The results showed that tsunami hazard in the region can be quantified by various metrics.
Article
Meteorology & Atmospheric Sciences
James T. Kirby, Stephan T. Grilli, Juan Horrillo, Philip L-F Liu, Dmitry Nicolsky, Stephane Abadie, Behzad Ataie-Ashtiani, Manuel J. Castro, Lucie Clous, Cipriano Escalante, Isaac Fine, Jose Manuel Gonzalez-Vida, Finn Lovholt, Patrick Lynett, Gangfeng Ma, Jorge Macias, Sergio Ortega, Fengyan Shi, Saeedeh Yavari-Ramshe, Cheng Zhang
Summary: The Mapping and Modeling Subcommittee of the US National Tsunami Hazard Mitigation Program held a workshop in January 2017 to evaluate numerical models for simulating tsunamis caused by submarine or subaerial landslides. Benchmark tests were conducted, showing the importance of including frequency dispersion in model formulations to obtain accurate results.
Article
Engineering, Marine
Christopher M. O'Reilly, Stephan T. Grilli, Christian F. Janssen, Jason M. Dahl, Jeffrey C. Harris
Summary: A 3D hybrid Lattice Boltzmann Model with Large Eddy Simulation was developed and validated for simulating incompressible turbulent flows interacting with ocean structures. The model combines an inviscid flow based on potential flow theory with a perturbation flow modeled by Navier-Stokes equations using a LBM with LES. The novel perturbation LBM approach demonstrated improved accuracy and computational efficiency compared to standard LBM simulations.
JOURNAL OF MARINE SCIENCE AND ENGINEERING
(2022)
Article
Mathematics, Applied
Stephan T. Grilli, Juan Horrillo, Stephan Guignard
Article
Mathematics, Interdisciplinary Applications
Stephan Lenz, Martin Geier, Manfred Krafczyk
Article
Computer Science, Interdisciplinary Applications
Jin Bao, Zhaoli Guo
Summary: At the equilibrium state of a two-phase fluid system, the chemical potential is constant and the velocity is zero. However, it is challenging to capture this equilibrium state accurately in numerical simulations, resulting in inconsistent thermodynamic interfacial properties and spurious velocities. Therefore, numerical schemes with well-balanced properties are preferred for simulating two-phase flows.
COMPUTERS & FLUIDS
(2024)
Article
Computer Science, Interdisciplinary Applications
Brian C. Vermeire
Summary: This study presents a framework for implicit large eddy simulation (ILES) of incompressible flows by combining the entropically damped artificial compressibility (EDAC) method with the flux reconstruction (FR) approach. Experimental results demonstrate that the method is accurate and stable for low-order solutions, while higher-order solutions exhibit significantly higher accuracy and lower divergence error compared to reference direct numerical simulation.
COMPUTERS & FLUIDS
(2024)
Article
Computer Science, Interdisciplinary Applications
Mijian Li, Rui Wang, Xinyu Guo, Xinyu Liu, Lianzhou Wang
Summary: In this study, the flow mechanisms around wall-mounted structures were investigated using Large Eddy Simulation (LES). The impact of inflow turbulence on the flow physics, dynamic response, and hydrodynamic performance was explored. The results revealed strong interference between velocity fluctuations and the wake past the cylinder, as well as significant convection effects in the far wake region.
COMPUTERS & FLUIDS
(2024)
Article
Computer Science, Interdisciplinary Applications
Donatella Passiatore, Luca Sciacovelli, Paola Cinnella, Giuseppe Pascazio
Summary: A high-order shock-capturing central finite-difference scheme is evaluated for numerical simulations of hyper-sonic high-enthalpy flows out of thermochemical equilibrium. The scheme utilizes a tenth-order accurate central-difference approximation of inviscid fluxes, along with high-order artificial dissipation and shock-capturing terms. The proposed approach demonstrates accuracy and robustness for a variety of thermochemical non-equilibrium configurations.
COMPUTERS & FLUIDS
(2024)
Article
Computer Science, Interdisciplinary Applications
Philipp Bahavar, Claus Wagner
Summary: Condensation is an important aspect in flow applications, and simulating the gas phase and tracking the deposition rates of condensate droplets can capture the effects of surface droplets on the flow while reducing computational costs.
COMPUTERS & FLUIDS
(2024)
Article
Computer Science, Interdisciplinary Applications
Andras Szabo, Gyorgy Paal
Summary: This paper introduces an efficient calculation method, the parabolized stability equations (PSE), for solving stability equations. By calculating LU factorization once in each marching step, the time spent on solving linear systems of equations can be significantly reduced. Numerical experiments demonstrate the effectiveness of this method in reducing the solution time for linear equations, and its applicability to similar problems.
COMPUTERS & FLUIDS
(2024)
Article
Computer Science, Interdisciplinary Applications
A. Khalifa, M. Breuer
Summary: This study evaluates a recently developed data-driven model for collision-induced agglomerate breakup in high mass loading flows. The model uses artificial neural networks to predict the post-collision behavior of agglomerates, reducing computational costs compared to coupled CFD-DEM simulations.
COMPUTERS & FLUIDS
(2024)
Article
Computer Science, Interdisciplinary Applications
Chunmei Du, Maojun Li
Summary: This paper considers the bilayer shallow water wave equations in one-dimensional space and presents an invariant domain preserving DG method to avoid Kelvin-Helmholtz instability.
COMPUTERS & FLUIDS
(2024)
Article
Computer Science, Interdisciplinary Applications
Jean-Michel Tucny, Mihir Durve, Andrea Montessori, Sauro Succi
Summary: The prediction of non-equilibrium transport phenomena in disordered media is a challenging problem for conventional numerical methods. Physics-informed neural networks (PINNs) show potential for solving this inverse problem. In this study, PINNs were used to successfully predict the velocity field of rarefied gas flow, and AdamW was found to be the best optimizer.
COMPUTERS & FLUIDS
(2024)
Article
Computer Science, Interdisciplinary Applications
Min Gao, Pascal Mossier, Claus-Dieter Munz
Summary: In recent decades, the arbitrary Lagrangian-Eulerian (ALE) approach has gained popularity in dealing with fluid flows with moving boundaries. This paper presents a novel algorithm that combines the ALE finite volume (FV) and ALE discontinuous Galerkin (DG) methods into a stable and efficient hybrid approach. The main challenge of this mixed ALE FV and ALE DG method is reducing the inconsistency between the two discretizations. The proposed algorithm is implemented into a loosely-coupled fluid-structure interaction (FSI) framework and is demonstrated through various benchmark test cases and complex scenarios.
COMPUTERS & FLUIDS
(2024)
Article
Computer Science, Interdisciplinary Applications
Dawid Strzelczyk, Maciej Matyka
Summary: In this study, the numerical convergence of the Meshless Lattice Boltzmann Method (MLBM) is investigated through three benchmark tests. The results are compared to the standard Lattice Boltzmann Method (LBM) and the analytical solution of the Navier-Stokes equation. It is found that MLBM outperforms LBM in terms of error value for the same number of nodes discretizing the domain.
COMPUTERS & FLUIDS
(2024)
Article
Computer Science, Interdisciplinary Applications
Kanishka Bhattacharya, Tapan Jana, Amit Shaw, L. S. Ramachandra, Vishal Mehra
Summary: In this work, an adaptive algorithm is developed to address the issue of tensile instability in Smoothed Particle Hydrodynamics (SPH) by adjusting the shape of the kernel function to satisfy stability conditions. The effectiveness of the algorithm is demonstrated through dispersion analysis and fluid dynamics simulations.
COMPUTERS & FLUIDS
(2024)
Article
Computer Science, Interdisciplinary Applications
Luis Laguarda, Stefan Hickel
Summary: We propose several enhancements to improve the accuracy and performance of the digital filter turbulent inflow generation technique, such as introducing a more realistic correlation function and varying target length scales. Additionally, we suggest generating inflow data in parallel at a prescribed time interval to improve computational performance. Based on the results of large-eddy simulations, these enhancements have shown to be beneficial. Suppressing streamwise velocity fluctuations at the inflow leads to the fastest relaxation of pressure fluctuations. However, this approach increases the adaptation length, which can be shortened by artificially increasing the wall-normal Reynolds stresses.
COMPUTERS & FLUIDS
(2024)
Article
Computer Science, Interdisciplinary Applications
Constantin Zenz, Michele Buttazzoni, Tobias Florian, Katherine Elizabeth Crespo Armijos, Rodrigo Gomez Vazquez, Gerhard Liedl, Andreas Otto
Summary: A new model for compressible multiphase flows involving sharp interfaces and phase change is presented, with a focus on the treatment of compressibility and phase change in the multiphase fluid flow model. The model's accuracy and suitability are demonstrated through comparisons with experimental observations.
COMPUTERS & FLUIDS
(2024)
Article
Computer Science, Interdisciplinary Applications
Joseph O'Connor, Sylvain Laizet, Andrew Wynn, Wouter Edeling, Peter V. Coveney
Summary: This article aims to apply uncertainty quantification and sensitivity analysis to the direct numerical simulation (DNS) of low Reynolds number wall-bounded turbulent channel flow. By using a highly scalable DNS framework and UQ techniques, the study evaluates the influence of different numerical parameters on the simulation results without explicitly modifying the code. The findings provide guidance for numerical simulations of wall-bounded turbulent flows.
COMPUTERS & FLUIDS
(2024)