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A stencil adaptive phase-field lattice Boltzmann method for two dimensional incompressible multiphase flows

J. Y. Shao, C. Shu, J. Wu, Y. T. Chew
2012 International Journal for Numerical Methods in Fluids  
This paper presents a stencil adaptive phase-field lattice Boltzmann method (LBM) for the simulation of two-dimensional multiphase flows.  ...  First, the accuracy, efficiency and convergence of this method are testified through the simulation of a stationary bubble.  ...  Different from the interface tracking method, the interface capturing algorithm 673 In the lattice Boltzmann framework, there are also some attempts to refine the mesh locally.  ... 
doi:10.1002/fld.3759 fatcat:w6ohkxabz5h7tiif6zyy7k7p3y

Fluid flow around NACA 0012 airfoil at low-Reynolds numbers with hybrid lattice Boltzmann method

G. Di Ilio, D. Chiappini, S. Ubertini, G. Bella, S. Succi
2018 Computers & Fluids  
The results demonstrate the capability of the HLBM to achieve high accuracy near solid curved walls, thus providing a viable alternative in the realm of off-lattice Boltzmann methods based on body-fitted  ...  The aim of the study is to assess the numerical performances and the robustness of the computational method.  ...  Acknowledgments The numerical simulations were performed on Zeus HPC facility, at the University of Naples "Parthenope"; Zeus  ... 
doi:10.1016/j.compfluid.2018.02.014 fatcat:fbvftsfmbzhgjodoi7y2sg2rxy

A Coupled Lattice Boltzmann-Volume Penalization for Flows Past Fixed Solid Obstacles with Local Mesh Refinement

Kai Guo, Xiongwei Cui, Minghao Liu
2018 Mathematical Problems in Engineering  
A coupled Lattice Boltzmann-Volume Penalization (LBM-VP) with local mesh refinement is presented to simulate flows past obstacles in this article.  ...  A good agreement between the present results and the data in the previous literatures is achieved, which demonstrates the accuracy and effectiveness of the present method to solve the flows past obstacle  ...  Acknowledgments The authors would like to acknowledge the support of the Fundamental Research Funds for the Central Universities (HEUCFP201744) and the National Nature Science Foundation of China (51779056  ... 
doi:10.1155/2018/6732082 fatcat:h2yn5ey53rccfl3c47hjud5ymy

Integrating a Stabilized Radial Basis Function Method with Lattice Boltzmann Method

Saleh A. Bawazeer, Saleh S. Baakeem, Abdulmajeed. A. Mohamad
2022 Mathematics  
The lattice Boltzmann method (LBM) has two key steps: collision and streaming.  ...  Owing to its high accuracy, the radial basis function (RBF) is one of the popular methods used for interpolation.  ...  Acknowledgments: The authors would like to extend their appreciation to the Ministry of Education of Saudi Arabia and the National Science Engineering Research Council of Canada (NSERC) for their support  ... 
doi:10.3390/math10030501 fatcat:n7gtbl7umjf2jfma7hf5jxgjeu

Advection–diffusion lattice Boltzmann scheme for hierarchical grids

Maik Stiebler, Jonas Tölke, Manfred Krafczyk
2008 Computers and Mathematics with Applications  
In this paper we describe an extension of a recently developed lattice Boltzmann method for solving the advection-diffusion equation.  ...  After validating the basic lattice Boltzmann method on a uniform grid by a convergence study of analytic problems we demonstrate the consistency of our approach by solving benchmark problems and comparing  ...  Acknowledgement Financial support for the first author by the Deutsche Forschungsgemeinschaft (DFG) is gratefully acknowledged.  ... 
doi:10.1016/j.camwa.2007.08.024 fatcat:n37prwc2kvfbvatfwamjrf46oy

Implementation of the compact interpolation within the octree based Lattice Boltzmann solver Musubi

Jiaxing Qi, Harald Klimach, Sabine Roller
2016 Computers and Mathematics with Applications  
A sparse octree based parallel implementation of the lattice Boltzmann method for non-uniform meshes is presented in this paper.  ...  Good agreement between simulated results and those from literature is observed, which provides further evidence for the accuracy of our method.  ...  Acknowledgments We acknowledge PRACE for awarding us access to the Cray XC40 Hazel Hen system in High Performance Computing Center Stuttgart (HLRS), Stuttgart, Germany, through the project number 2730.  ... 
doi:10.1016/j.camwa.2016.06.025 fatcat:nxttb4sakvdglbat3gq5xidy2u

Some Progress in Lattice Boltzmann Method. Part I. Nonuniform Mesh Grids

Xiaoyi He, Li-Shi Luo, Micah Dembo
1996 Journal of Computational Physics  
In other words, A new lattice Boltzmann algorithm is proposed to simulate the Navier-Stokes equation on arbitrary nonuniform mesh grids.  ...  The the discretization of physical space is coupled with the new algorithm retains the advantages of the lattice Boltzmann discretization of momentum space.  ...  equations Boltzmann model [13] to illustrate the implementation of the lattice Boltzmann method on nonuniform mesh grids. 1 0 c 2 s Ѩp Ѩt ϩ ٌ · u ϭ 0, (5a) In the incompressible lattice Boltzmann model  ... 
doi:10.1006/jcph.1996.0255 fatcat:yeylava5bvdwpeuwph3atxbfae

Solving incompressible fluid flows on unstructured meshes with the lattice Boltzmann flux solver

Nicolas Pellerin, Sébastien Leclaire, Marcelo Reggio
2017 Engineering Applications of Computational Fluid Mechanics  
Overall, the results obtained agree well with reference data, and demonstrate the validity of using the LBFS on directionally refined meshes, providing the advantage of limiting the number of vertices  ...  An application of the recently developed lattice Boltzmann flux solver (LBFS) is proposed to solve incompressible flows using unstructured meshes with high aspect ratio triangular cells.  ...  Equations (4-9) constitute the basis of the lattice Boltzmann method termed LBGK.  ... 
doi:10.1080/19942060.2017.1292410 fatcat:sahie2lqbrgypmhwgpuxd2n35a

CIVA (Cubic Interpolation with Volume/Area Coordinates) and AMR (Adaptive Mesh Refinement) Method for Discrete Boltzmann Equation

Taku OZAWA, Takahiko TANAHASHI
2005 JSME international journal. Series B, Fluids and thermal engineering  
In this study, we describe a computational scheme based on two-dimensional unstructured grids using Cubic Interpolation with Volume/Area coordinates (CIVA) method and Adaptive Mesh Refinement method.  ...  In recent years, the Lattice Boltzmann Method (LBM) has been developed as an alternative numerical approach in Computational Fluid Dynamics (CFD).  ...  Conclusions From the results of this study, it is indicated that the applicability of the computational scheme for the Discrete Boltzmann Equation, based on CIVA and AMR.  ... 
doi:10.1299/jsmeb.48.229 fatcat:3vse3fkagrewpbsp2ehfka6bzi

Grid refinement in the three-dimensional hybrid recursive regularized lattice Boltzmann method for compressible aerodynamics

Y. Feng, S. Guo, J. Jacob, P. Sagaut
2020 Physical review. E  
In this paper, a three-dimensional grid refinement technique is developed within the framework of hybrid recursive regularized lattice Boltzmann method (HRR-LBM) for compressible high-speed flows, which  ...  refinement interface and shock corrugation, and transonic flows over three-dimensional DLR-M6 wing with seven levels of grid refinement.  ...  ACKNOWLEDGMENTS This work was granted access to the HPC resources of Aix-Marseille Université financed by the project Equip@Meso (ANR-10-EQPX-29-01) of the program Investissements d'Avenir supervised by  ... 
doi:10.1103/physreve.101.063302 pmid:32688460 fatcat:jsiwxntvqvgtjlrtqa7wfabvte

Analysis of Aeroacoustic Properties of the Local Radial Point Interpolation Cumulant Lattice Boltzmann Method

Mohsen Gorakifard, Clara Salueña, Ildefonso Cuesta, Ehsan Kian Far
2021 Energies  
following mesh refinement.  ...  The lattice Boltzmann method (LBM) has recently been used to simulate wave propagation, one of the challenging aspects of wind turbine modeling and simulation.  ...  The Lattice Boltzmann Method The lattice Boltzmann method (LBM) is obtained from the kinetic theory of gases.  ... 
doi:10.3390/en14051443 fatcat:ewibacky6fcmjaqarz56bmlcai

Lattice Boltzmann method for computational aeroacoustics on non-uniform meshes: a direct grid coupling approach [article]

Thomas Astoul, Gauthier Wissocq, Jean-françois Boussuge, Alois Sengissen, Pierre Sagaut
2020 arXiv   pre-print
The proposed grid refinement algorithm differs from conventionally used ones, in which an overlapping mesh layer is considered.  ...  The present study proposes a highly accurate lattice Boltzmann direct coupling cell-vertex algorithm, well suited for industrial purposes, making it highly valuable for aeroacoustic applications.  ...  This work has been carried out using ProLB, a Lattice-Boltzmann solver developed within a scientific collaboration including CSSI, Renault, Airbus, Ecole Centrale de Lyon, CNRS and Aix-Marseille University  ... 
arXiv:2004.14887v1 fatcat:yas6bcnfonc6tndvylhz5ewjze

A moving-grid approach for fluid–structure interaction problems with hybrid lattice Boltzmann method

G. Di Ilio, D. Chiappini, S. Ubertini, G. Bella, S. Succi
2018 Computer Physics Communications  
The proposed hybrid approach enhances the capability of lattice Boltzmann methods to solve fluid dynamic problems involving moving geometries.  ...  In this paper, we propose a hybrid lattice Boltzmann method (HLBM) for solving fluid-structure interaction problems.  ...  In order to enhance the capability of the lattice Boltzmann method to simulate FSI problems, we propose an extension of the hybrid lattice Boltzmann method [39, 40] to moving grids (MG-HLBM).  ... 
doi:10.1016/j.cpc.2018.07.017 fatcat:xbz3ghg5rfg3vhsgisufxcfnb4

Parallel in time approximation of the lattice Boltzmann method for laminar flows

Amanda Randles, Efthimios Kaxiras
2014 Journal of Computational Physics  
This method is based on a predictor-corrector scheme combined with mesh refinement to enable the simulation of larger number of time steps.  ...  To overcome this fundamental strong scaling limit in space-parallel approaches, we present a novel time-parallel version of the lattice Boltzmann method using the parareal algorithm.  ...  Minion for comments and D. Singer and F. Mintzer for their assistance and support regarding access to the Blue Gene/P system at the IBM T.J. Watson Research Center.  ... 
doi:10.1016/j.jcp.2014.04.006 fatcat:64yeydhhznhmhab7u6oxa5pida

A Comparison Between the Interpolated Bounce-Back Scheme and the Immersed Boundary Method to Treat Solid Boundary Conditions for Laminar Flows in the Lattice Boltzmann Framework

Alessandro De Rosis, Stefano Ubertini, Francesco Ubertini
2014 Journal of Scientific Computing  
In this paper, the interpolated bounce-back scheme and the immersed boundary method are compared in order to handle solid boundary conditions in the lattice Boltzmann method.  ...  Keywords Fluid-structure interaction · Lattice Boltzmann method · Immersed boundary method Introduction In the last decades, the lattice Boltzmann (LB) method [1] arose as an effective tool to simulate  ...  Since the solid mesh is independent from the fluid one, the IB method is easier to be implemented in the lattice Boltzmann framework, regardless of the solid body geometry.  ... 
doi:10.1007/s10915-014-9834-0 fatcat:zzgxxe47unerlfaulbzajugqqu
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