Lattice Boltzmann Method for Fluid Simulations
|
|
- Lora Webster
- 5 years ago
- Views:
Transcription
1 1 / 16 Lattice Boltzmann Method for Fluid Simulations Yuanxun Bill Bao & Justin Meskas Simon Fraser University April 7, 2011
2 2 / 16 Ludwig Boltzmann and His Kinetic Theory of Gases The Boltzmann Transport Equation f t + v f = Ω (1) f( x, t) is the particle distribution function (2) v is the particle velocity (3) Ω is the collision operator Figure 1: Ludwig Boltzmann Gases/Fluids contain a large number of small particles with random motion Interchange of energy through particle streaming and collision Microscopic distribution function Macroscopic gases/fluids variables (pressure, velocity)
3 3 / 16 Lattice Boltzmann Method f i( x + c e i t, t + t) f i( x, t) }{{} Streaming = eq [fi( x, t) fi ( x, t)] }{{ τ } Collision c = x, lattice speed, t τ is the relaxation parameter, τ = 1 c 2 t ν is the kinematic viscosity ( 3ν + 1 ), 2 f i is the discrete distribution function, i = (0, 0) i = 1 e i = (cos[(i 2) π 2 ], sin[(i 2) π ]) i = 2, 3, 4, 5 2 2(cos[(i 6) π + π ], sin[(i 6) π + π ]) i = 6, 7, 8, Figure 2: D2Q9 lattice
4 4 / 16 Lattice Boltzmann Method The Streaming Step Figure 3: Streaming Process The Collision Step (BGK collision operator) f eq i ( x, t) = w iρ( x) [ ei u ( e i u) 2 3 c 2 2 c 4 2 where w i is the weights, 4/9 i = 1 w i = 1/9 i = 2, 3, 4, 5 1/36 i = 6, 7, 8, 9 ] u u, c 2
5 5 / 16 Lattice Boltzmann Method to recover the macroscopic density and velocity, 9 ρ( x, t) = f i( x, t), i=1 u( x, t) = 1 ρ 9 f i e i i=1 Finite Difference Perspective f i( x, t + t) f i( x, t) t = fi( x + ei x, t + t) fi( x, t + t) + x eq fi( x, t) fi ( x, t) τ In our case t = x = 1. This recovers the Lattice Boltzmann Method.
6 6 / 16 Boundary Conditions: Bounce-back Equivalent to no-slip boundary condtions Figure 4: Illustration of on-grid bounce-back On-grid 1st order Mid-grid 2nd order Easy to implement for complex geometries Applicable to flows with impermeable walls Figure 5: Illustration of mid-grid bounce-back
7 7 / 16 Boundary Conditions: Zou-He Given the velocity u L = (u, v) on the left boundary, ρ = 1 [f1 + f3 + f5 + 2(f4 + f7 + f8)] 1 u f 2 = f ρv f 6 = f (f3 f5) ρu ρv Figure 6: Zou-He velocity boundary condition f 9 = f (f3 f5) ρu 1 2 ρv Other boundary conditons: periodic, free-slip, frictional-slip, sliding walls, the Inamuro method... etc.
8 y 8 / 16 Simulation 1: Plane Poiseuille flow Figure 7: Illustration of a Poiseuille flow Time independent flow driven by a pressure gradient P = P 1 P 0 Periodic BCs at the inlet and outlet of the flow No-slip BCs on the solid walls parabolic velocity profile LBM Analytical 10 1 convergence of bounce back boundary conditions mid grid on grid 2nd order 1st order error u(y) N Figure 8: Parabolic velocity profile P = , H = 32, ν = 0.05
9 y y Simulation 2: Lid Driven Cavity 2D fluid flow driven by a top moving lid No-slip (bounce-back) BCs on the other three stationary walls Zou-He BCs on the moving lid 1 Stream Trace for Re = Stream Trace for Re = x x Figure 9: Stream traces for Re = 400 and The V d = and respectively. Other parameters: ν = 1/18, τ = 2/3, lattice 9 / 16
10 10 / 16 Simulation 3: Flow past a Cylinder No-slip BCs on the solid walls and cylinder Zou-He velocity and density BCs at the inlet and outlet Regimes of the Flow Re < 5: Laminar flow, no separation of streamlines
11 11 / 16 Simulation 3: Flow past a Cylinder 5 < Re < 40: A fixed pair of symmetric vortices 40 < Re < 400: Vortex street
12 12 / 16 Simulation 3: Flow past a Cylinder Figure 10: Vorticity plot of flow past a cylinder at Re = 150, a Karman vortex street is generated
13 13 / 16 Simulation 4: Rayleigh-Bénard Convection Nondimensional Boussinesq Equations u = 0 u + u u = P r u + Ra P rt ẑ p t T + u T = T Figure 11: Illustration of t Rayleigh-Bénard convection Ra: Rayleigh number, P r: Prandtl number A D2Q9 model for u and a D2Q5 model for T, and the two models are combined into one coupled model for the whole system BCs on u: No-slip (bounce-back) BCs on the top/bottom walls, periodic BCs on the two vertical walls BCs on T : Zou-He BCs on the top/bottom walls, periodic BCs on the two vertical walls
14 Convection cells Streamlines (Ra = 20000, t = 8100) 50 yïaxis xïaxis Streamlines (Ra = , t = 5800) 50 yïaxis xïaxis / 16
15 15 / 16 Summary Features of Lattice Boltzmann Method A celluar automata model, as well as a special FD method for Boltzmann equation Errors are 2nd order in space Very successful for simulating multiphase/multicomponent flows Simulating flows with complex boundary conditions are much easier using LBM (porous media flow) LBM can be easily parallelized A Controversy The compressible Navier-Stokes equations (NSEs) can be recovered from LBM through Chapman-Enskog expansions A method with artificial-compressibilty for the incompressible NSEs Some other LBMs have been developed for modelling the incompressible NSEs in the incompressible limit
16 16 / 16 References 1. S. Chen, D. Martínez, and R. Mei, On boundary conditions in lattice Boltzmann methods, J. Phys. Fluids 8, (1996) 2. Q. Zou, and X. He, pressure and velocity boundary conditions for the lattice Boltzmann, J. Phys. Fluids 9, (1997) 3. R. Begum, and M.A. Basit, Lattice Boltzmann Method and its Applications to Fluid Flow Problems, Euro. J. Sci. Research 22, (2008) 4. Z. Guo, B. Shi, and N. Wang, Lattice BGK Model for Incompressible Navier-Stokes Equation, J. Comput. Phys. 165, (2000) 5. Z. Guo, B. Shi, and C. Zheng, A coupled lattice BGK model for the Boussinesq equations, Int. J. Numer. Meth. Fluids 39, (2002) 6. S. Succi, The Lattice Boltzmann Equation for Fluid Dynamics and Beyond. Oxford University Press, Oxford. (2001) 7. M. Sukop and D.T. Thorne, Lattice Botlzmann Modeling: an introduction for geoscientists and engineers. Springer Verlag, 1st edition. (2006)
Lattice Boltzmann Method for Fluid Simulations
Lattice Boltzmann Method for Fluid Simulations Yuanxun Bill Bao & Justin Meskas April 14, 2011 1 Introduction In the last two decades, the Lattice Boltzmann method (LBM) has emerged as a promising tool
More informationSimulation of 2D non-isothermal flows in slits using lattice Boltzmann method
Simulation of 2D non-isothermal flows in slits using lattice Boltzmann method João Chambel Leitão Department of Mechanical Engineering, Instituto Superior Técnico, Lisboa, Portugal Abstract: The present
More informationLattice Boltzmann model for the Elder problem
1549 Lattice Boltzmann model for the Elder problem D.T. Thorne a and M.C. Sukop a a Department of Earth Sciences, Florida International University, PC 344, University Park, 11200 SW 8th Street, Miami,
More informationExternal and Internal Incompressible Viscous Flows Computation using Taylor Series Expansion and Least Square based Lattice Boltzmann Method
Available online at http://ijim.srbiau.ac.ir/ Int. J. Industrial Mathematics (ISSN 2008-5621) Vol. 10, No. 2, 2018 Article ID IJIM-00726, 8 pages Research Article External and Internal Incompressible Viscous
More informationResearch of Micro-Rectangular-Channel Flow Based on Lattice Boltzmann Method
Research Journal of Applied Sciences, Engineering and Technology 6(14): 50-55, 013 ISSN: 040-7459; e-issn: 040-7467 Maxwell Scientific Organization, 013 Submitted: November 08, 01 Accepted: December 8,
More informationAPPRAISAL OF FLOW SIMULATION BY THE LATTICE BOLTZMANN METHOD
APPRAISAL OF FLOW SIMULATION BY THE LATTICE BOLTZMANN METHOD Guillermo Izquierdo Bouldstridge Imperial College of London Department of Aeronautics Master s Thesis Supervisor: Dr. Joaquim Peiró September
More informationPredictor-Corrector Finite-Difference Lattice Boltzmann Schemes
Applied Mathematical Sciences, Vol. 9, 2015, no. 84, 4191-4199 HIKARI Ltd, www.m-hikari.com http://dx.doi.org/10.12988/ams.2015.5138 Predictor-Corrector Finite-Difference Lattice Boltzmann Schemes G. V.
More informationLATTICE BOLTZMANN SIMULATION OF FLUID FLOW IN A LID DRIVEN CAVITY
LATTICE BOLTZMANN SIMULATION OF FLUID FLOW IN A LID DRIVEN CAVITY M. Y. Gokhale, Ignatius Fernandes Maharashtra Institute of Technology, Pune 4 38, India University of Pune, India Email : mukundyg@yahoo.co.in,
More informationStudy on lattice Boltzmann method/ large eddy simulation and its application at high Reynolds number flow
Research Article Study on lattice Boltzmann method/ large eddy simulation and its application at high Reynolds number flow Advances in Mechanical Engineering 1 8 Ó The Author(s) 2015 DOI: 10.1177/1687814015573829
More informationAnalysis and boundary condition of the lattice Boltzmann BGK model with two velocity components
Analysis and boundary condition of the lattice Boltzmann BGK model with two velocity components Xiaoyi He and Qisu Zou arxiv:comp-gas/9507002v1 22 Jul 1995 Abstract In this paper, we study the two dimensional
More informationOn pressure and velocity boundary conditions for the lattice Boltzmann BGK model
On pressure and velocity boundary conditions for the lattice Boltzmann BGK model Qisu Zou Theoretical Division, Los Alamos National Lab, Los Alamos, New Mexico 7545 and Department of Mathematics, Kansas
More information68 Guo Wei-Bin et al Vol. 12 presented, and are thoroughly compared with other numerical data with respect to the Strouhal number, lift and drag coeff
Vol 12 No 1, January 2003 cfl 2003 Chin. Phys. Soc. 1009-1963/2003/12(01)/0067-08 Chinese Physics and IOP Publishing Ltd Lattice-BGK simulation of a two-dimensional channel flow around a square cylinder
More informationPREDICTION OF INTRINSIC PERMEABILITIES WITH LATTICE BOLTZMANN METHOD
PREDICTION OF INTRINSIC PERMEABILITIES WITH LATTICE BOLTZMANN METHOD Luís Orlando Emerich dos Santos emerich@lmpt.ufsc.br Carlos Enrique Pico Ortiz capico@lmpt.ufsc.br Henrique Cesar de Gaspari henrique@lmpt.ufsc.br
More informationLattice Boltzmann Modeling of Wave Propagation and Reflection in the Presence of Walls and Blocks
Lattice Boltzmann Modeling of Wave Propagation and Reflection in the Presence of Walls and Blocs Maysam Saidi, Hassan Basirat Tabrizi, Member, IAENG, and Reza Sepahi Samian Abstract Lattice Boltzmann method
More informationSEMICLASSICAL LATTICE BOLTZMANN EQUATION HYDRODYNAMICS
The Seventh Nobeyama Workshop on CFD: To the Memory of Prof. Kuwahara Sanjo Kaikan, the University of Tokyo, Japan, September. 23-24, 2009 SEMICLASSICAL LATTICE BOLTZMANN EQUATION HYDRODYNAMICS Jaw-Yen
More informationLevel Set-based Topology Optimization Method for Viscous Flow Using Lattice Boltzmann Method
10 th World Congress on Structural and Multidisciplinary Optimization May 19-24, 2013, Orlando, Florida, USA Level Set-based Topology Optimization Method for Viscous Flow Using Lattice Boltzmann Method
More informationTHE INTERNATIONAL JOURNAL OF SCIENCE & TECHNOLEDGE
THE INTERNATIONAL JOURNAL OF SCIENCE & TECHNOLEDGE Stability Evaluation of Lattice Boltzmann Method for High Viscosity Fluid Model Applied in Pore Scale Porous Media Pahala Richard Panjaitan Ph.D. Student,
More informationUsing LBM to Investigate the Effects of Solid-Porous Block in Channel
International Journal of Modern Physics and Applications Vol. 1, No. 3, 015, pp. 45-51 http://www.aiscience.org/journal/ijmpa Using LBM to Investigate the Effects of Solid-Porous Bloc in Channel Neda Janzadeh,
More informationThe Use of Lattice Boltzmann Numerical Scheme for Contaminant Removal from a Heated Cavity in Horizontal Channel
www.cfdl.issres.net Vol. 6 (3) September 2014 The Use of Lattice Boltzmann Numerical Scheme for Contaminant Removal from a Heated Cavity in Horizontal Channel Nor Azwadi Che Sidik C and Leila Jahanshaloo
More informationNON-DARCY POROUS MEDIA FLOW IN NO-SLIP AND SLIP REGIMES
THERMAL SCIENCE, Year 2012, Vol. 16, No. 1, pp. 167-176 167 NON-DARCY POROUS MEDIA FLOW IN NO-SLIP AND SLIP REGIMES by Antonio F. MIGUEL Geophysics Centre of Evora & Department of Physics, University of
More informationLattice Boltzmann Method Solver Documentation
Lattice Boltzmann Method Solver Documentation Release 0.0.1 Sayop Kim May 03, 2016 Contents 1 Code Instruction 3 1.1 Quick instruction for running the simulation.............................. 3 2 Results
More informationarxiv: v1 [physics.flu-dyn] 10 Aug 2015
Slip velocity of lattice Boltzmann simulation using bounce-back boundary scheme Jianping Meng, Xiao-Jun Gu, and David R Emerson Scientific Computing Department, STFC Daresbury laboratory, arxiv:1508.009v1
More informationComputer simulations of fluid dynamics. Lecture 11 LBM: Algorithm for BGK Maciej Matyka
Computer simulations of fluid dynamics Lecture 11 LBM: Algorithm for BGK Maciej Matyka https://www.youtube.com/watch? v=vluyp_ydfjc https://youtu.be/cj52zpggka (789 citations) Lecture goal l l Give a complete
More informationAlternative and Explicit Derivation of the Lattice Boltzmann Equation for the Unsteady Incompressible Navier-Stokes Equation
ISSN (e): 2250 3005 Volume, 06 Issue, 12 December 2016 International Journal of Computational Engineering Research (IJCER) Alternative and Explicit Derivation of the Lattice Boltzmann Equation for the
More informationNumerical Investigation of Fluid and Thermal Flow in a Differentially Heated Side Enclosure walls at Various Inclination Angles
Numerical Investigation of Fluid and Thermal Flow in a Differentially Heated Side Enclosure walls at Various Inclination Angles O. A. SHAHRUL Faculty of Mechanical & Manufacturing Engineering Universiti
More informationarxiv:comp-gas/ v1 28 Apr 1993
Lattice Boltzmann Thermohydrodynamics arxiv:comp-gas/9304006v1 28 Apr 1993 F. J. Alexander, S. Chen and J. D. Sterling Center for Nonlinear Studies and Theoretical Division Los Alamos National Laboratory
More informationLATTICE BOLTZMANN MODELLING OF PULSATILE FLOW USING MOMENT BOUNDARY CONDITIONS
6th European Conference on Computational Mechanics (ECCM 6) 7th European Conference on Computational Fluid Dynamics (ECFD 7) 5 June 28, Glasgow, UK LATTICE BOLTZMANN MODELLING OF PULSATILE FLOW USING MOMENT
More informationLATTICE BOLTZMANN AND FINITE VOLUME SIMULATIONS OF MULTIPHASE FLOW IN BGA ENCAPSULATION PROCESS
LATTICE BOLTZMANN AND FINITE VOLUME SIMULATIONS OF MULTIPHASE FLOW IN BGA ENCAPSULATION PROCESS Aizat Abas, MZ Abdullah, MHH Ishak, Nurfatin AS and Soon Fuat Khor Advanced Packaging and SMT, School of
More informationSimulation of Rarefied Gas Flow in Slip and Transitional Regimes by the Lattice Boltzmann Method
www.cfdl.issres.net Vol. 2 (2) June 2010 Simulation of Rarefied Gas Flow in Slip and Transitional Regimes by the Lattice Boltzmann Method N. Azwadi C. Sidik 1C, N.C. Horng 1, M.A. Mussa 2, and S. Abdullah
More informationSimulation of T-junction using LBM and VOF ENERGY 224 Final Project Yifan Wang,
Simulation of T-junction using LBM and VOF ENERGY 224 Final Project Yifan Wang, yfwang09@stanford.edu 1. Problem setting In this project, we present a benchmark simulation for segmented flows, which contain
More informationThe Study of Natural Convection Heat Transfer in a Partially Porous Cavity Based on LBM
Send Orders for Reprints to reprints@benthamscience.ae 88 The Open Fuels & Energy Science Journal, 014, 7, 88-93 Open Access The Study of Natural Convection Heat Transfer in a Partially Porous Cavity Based
More informationLattice Boltzmann Method
3 Lattice Boltzmann Method 3.1 Introduction The lattice Boltzmann method is a discrete computational method based upon the lattice gas automata - a simplified, fictitious molecular model. It consists of
More information6.2 Governing Equations for Natural Convection
6. Governing Equations for Natural Convection 6..1 Generalized Governing Equations The governing equations for natural convection are special cases of the generalized governing equations that were discussed
More informationSimulation of Lid-driven Cavity Flow by Parallel Implementation of Lattice Boltzmann Method on GPUs
Simulation of Lid-driven Cavity Flow by Parallel Implementation of Lattice Boltzmann Method on GPUs S. Berat Çelik 1, Cüneyt Sert 2, Barbaros ÇETN 3 1,2 METU, Mechanical Engineering, Ankara, TURKEY 3 METU-NCC,
More informationSIMULATION OF MIXED CONVECTIVE HEAT TRANSFER USING LATTICE BOLTZMANN METHOD
International Journal of Automotive and Mechanical Engineering (IJAME) ISSN: 2229-8649 (Print); ISSN: 2180-1606 (Online); Volume 2, pp. 130-143, July-December 2010 Universiti Malaysia Pahang DOI: http://dx.doi.org/10.15282/ijame.2.2010.3.0011
More informationThermal lattice Bhatnagar-Gross-Krook model for flows with viscous heat dissipation in the incompressible limit
PHYSICAL REVIEW E 70, 066310 (2004) Thermal lattice Bhatnagar-Gross-Krook model for flows with viscous heat dissipation in the incompressible limit Yong Shi, T. S. Zhao,* Z. L. Guo Department of Mechanical
More informationThe lattice Boltzmann method for contact line dynamics
The lattice Boltzmann method for contact line dynamics Sudhir Srivastava, J.H.M. ten Thije Boonkkamp, Federico Toschi April 13, 2011 Overview 1 Problem description 2 Huh and Scriven model 3 Lattice Boltzmann
More informationEXTENDED FREE SURFACE FLOW MODEL BASED ON THE LATTICE BOLTZMANN APPROACH
METALLURGY AND FOUNDRY ENGINEERING Vol. 36, 2010, No. 2 Micha³ Szucki*, Józef S. Suchy***, Pawe³ ak*, Janusz Lelito**, Beata Gracz* EXTENDED FREE SURFACE FLOW MODEL BASED ON THE LATTICE BOLTZMANN APPROACH
More informationThe Lattice Boltzmann Method for Laminar and Turbulent Channel Flows
The Lattice Boltzmann Method for Laminar and Turbulent Channel Flows Vanja Zecevic, Michael Kirkpatrick and Steven Armfield Department of Aerospace Mechanical & Mechatronic Engineering The University of
More informationFLUID MECHANICS. Atmosphere, Ocean. Aerodynamics. Energy conversion. Transport of heat/other. Numerous industrial processes
SG2214 Anders Dahlkild Luca Brandt FLUID MECHANICS : SG2214 Course requirements (7.5 cr.) INL 1 (3 cr.) 3 sets of home work problems (for 10 p. on written exam) 1 laboration TEN1 (4.5 cr.) 1 written exam
More informationLattice Boltzmann Simulations of 2D Laminar Flows past Two Tandem Cylinders
Lattice Boltzmann Simulations of 2D Laminar Flows past Two Tandem Cylinders Alberto Mussa a, Pietro Asinari a,, and Li-Shi Luo b a Department of Energetics, Politecnico di Torino, Torino 10129, Italy Tel.:
More informationThe lattice Boltzmann equation: background and boundary conditions
The lattice Boltzmann equation: background and boundary conditions Tim Reis Department of Mathematics Sciences University of Greenwich Leslie Comrie Seminar Series November 2016 Acknowledgements: P. Dellar
More informationA Compact and Efficient Lattice Boltzmann Scheme to Simulate Complex Thermal Fluid Flows
A Compact and Efficient Lattice Boltzmann Scheme to Simulate Complex Thermal Fluid Flows Tao Zhang 1[0000-0001-7216-0423] and Shuyu Sun 1[0000-0002-3078-864X] 1 Computational Transport Phenomena Laboratory
More informationEquivalence between kinetic method for fluid-dynamic equation and macroscopic finite-difference scheme
Equivalence between kinetic method for fluid-dynamic equation and macroscopic finite-difference scheme Pietro Asinari (1), Taku Ohwada (2) (1) Department of Energetics, Politecnico di Torino, Torino 10129,
More informationLattice Boltzmann Modeling From the Macro- to the Microscale - An Approximation to the Porous Media in Fuel Cells -
Lattice Boltzmann Modeling From the Macro- to the Microscale - An Approximation to the Porous Media in Fuel Cells Espinoza Andaluz, Mayken; Sundén, Bengt; Andersson, Martin Unpublished: 2014-01-01 Link
More informationLattice Boltzmann simulations of a time-dependent natural convection problem
Lattice Boltzmann simulations of a time-dependent natural convection problem B. Trouette To cite this version: B. Trouette. Lattice Boltzmann simulations of a time-dependent natural convection problem.
More informationLattice Boltzmann simulations of a time-dependent natural convection problem
Lattice Boltzmann simulations of a time-dependent natural convection problem Benoît Trouette To cite this version: Benoît Trouette. Lattice Boltzmann simulations of a time-dependent natural convection
More informationFINITE-DIFFERENCE IMPLEMENTATION OF LATTICE BOLTZMANN METHOD FOR USE WITH NON-UNIFORM GRIDS
7. ANKARA INTERNATIONAL AEROSPACE CONFERENCE AIAC-2013-143 11-13 September 2013 - METU, Ankara TURKEY FINITE-DIFFERENCE IMPLEMENTATION OF LATTICE BOLTZMANN METHOD FOR USE WITH NON-UNIFORM GRIDS Fatih ÇEVİK
More informationSimplified Mesoscale Lattice Boltzmann Numerical Model for Prediction of Natural Convection in a Square Enclosure filled with Homogeneous Porous Media
Simplified Mesoscale Lattice Boltzmann Numerical Model for Prediction of Natural Convection in a Square Enclosure filled with Homogeneous Porous Media C.S.NOR AZWADI M.A.M. IRWAN Faculty of Mechanical
More informationFree energy concept Free energy approach LBM implementation Parameters
BINARY LIQUID MODEL A. Kuzmin J. Derksen Department of Chemical and Materials Engineering University of Alberta Canada August 22,2011 / LBM Workshop OUTLINE 1 FREE ENERGY CONCEPT 2 FREE ENERGY APPROACH
More informationThree-dimensional simulation of slip-flow and heat transfer in a microchannel using the lattice Boltzmann method
75 Three-dimensional simulation of slip-flow and heat transfer in a microchannel using the lattice Boltzmann method A. C. M. Sousa,2, M. Hadavand & A. Nabovati 3 Department of Mechanical Engineering, University
More informationGeneralized Local Equilibrium in the Cascaded Lattice Boltzmann Method. Abstract
Accepted for publication on Physical Review E (R), code ERR1034 Generalized Local Equilibrium in the Cascaded Lattice Boltzmann Method Pietro Asinari Department of Energetics, Politecnico di Torino, Corso
More informationA Momentum Exchange-based Immersed Boundary-Lattice. Boltzmann Method for Fluid Structure Interaction
APCOM & ISCM -4 th December, 03, Singapore A Momentum Exchange-based Immersed Boundary-Lattice Boltzmann Method for Fluid Structure Interaction Jianfei Yang,,3, Zhengdao Wang,,3, and *Yuehong Qian,,3,4
More informationSIMULATION OF NATURAL CONVECTION HEAT TRANSFER USING NANOFLUID IN A CONCENTRIC ANNULUS
THERMAL SCIENCE: Year 17, Vol. 1, No., pp. 175-186 175 SIMULATION OF NATURAL CONVECTION HEAT TRANSFER USING NANOFLUID IN A CONCENTRIC ANNULUS by Keivan FALLAH a*, Atena GHADERI b, Nima SEDAGHATIZADEH c,
More informationChapter 6: Incompressible Inviscid Flow
Chapter 6: Incompressible Inviscid Flow 6-1 Introduction 6-2 Nondimensionalization of the NSE 6-3 Creeping Flow 6-4 Inviscid Regions of Flow 6-5 Irrotational Flow Approximation 6-6 Elementary Planar Irrotational
More informationMODELLING OF THE BOUNDARY CONDITION FOR MICRO CHANNELS WITH USING LATTICE BOLTZMANN METHOD (LBM)
Reports Awarded with "Best Paper" Crystal Prize 17 FRI-1.417-1-MEMBT-05 MODELLING OF THE BOUNDARY CONDITION FOR MICRO CHANNELS WITH USING LATTICE BOLTZMANN METHOD (LBM) Rsc. Asst. İlkay Çolpan, BSc Department
More informationLattice Boltzmann Model
Lattice Boltzmann Model Paul Walsh January 6, 2003 Computational Physics, Dept of Physics, Trinity College, Dublin 2, Ireland Submitted January 6 th 2003. Abstract The validity of the Lattice Boltzmann
More informationNumerical Simulation of Flows about a Stationary and a Free-Falling Cylinder Using Immersed Boundary-Finite Difference Lattice Boltzmann Method
Numerical Simulation of Flows about a Stationary and a Free-Falling Cylinder Using Immersed Boundary-Finite Difference Lattice Boltzmann Method Roberto Rojas 1*, Kosuke Hayashi 1, Takeshi Seta and Akio
More informationCopyright 2013 Tech Science Press FDMP, vol.9, no.4, pp , 2013
Copyright 201 Tech Science Press FDMP, vol.9, no., pp.-88, 201 Numerical Study of Natural Convection in an Inclined Triangular Cavity for Different Thermal Boundary Conditions: Application of the Lattice
More informationBasic concepts in viscous flow
Élisabeth Guazzelli and Jeffrey F. Morris with illustrations by Sylvie Pic Adapted from Chapter 1 of Cambridge Texts in Applied Mathematics 1 The fluid dynamic equations Navier-Stokes equations Dimensionless
More informationV (r,t) = i ˆ u( x, y,z,t) + ˆ j v( x, y,z,t) + k ˆ w( x, y, z,t)
IV. DIFFERENTIAL RELATIONS FOR A FLUID PARTICLE This chapter presents the development and application of the basic differential equations of fluid motion. Simplifications in the general equations and common
More informationNumerical Investigation on Shear Driven Cavity Flow by the Constrained Interpolated Profile Lattice Boltzmann Method
Numerical Investigation on Shear Driven Cavity Flow by the Constrained Interpolated Profile Lattice Boltzmann Method *C. S. NOR AZWADI, M. H. Al-MOLA and S. AGUS Department of Thermo-fluid Universiti Teknologi
More informationTurbulent Boundary Layers & Turbulence Models. Lecture 09
Turbulent Boundary Layers & Turbulence Models Lecture 09 The turbulent boundary layer In turbulent flow, the boundary layer is defined as the thin region on the surface of a body in which viscous effects
More informationThe Lift Force on a Spherical Particle in Rectangular Pipe Flow. Houhui Yi
CHINESE JOURNAL OF PHYSICS VOL. 52, NO. 1-I February 2014 The Lift Force on a Spherical Particle in Rectangular Pipe Flow Houhui Yi Institute of Theoretical Physics, Department of Opto-Electronic Engineering,
More informationAssessment of the Accuracy of the Multiple-Relaxation-Time Lattice Boltzmann Method for the Simulation of Circulating Flows
Mathematical Modelling and Applications 2017; 25): 47-51 http://www.sciencepublishinggroup.com/j/mma doi: 10.11648/j.mma.20170205.11 ISSN: 2575-1786 Print); ISSN: 2575-1794 Online) Assessment of the Accuracy
More informationLattice-Boltzmann vs. Navier-Stokes simulation of particulate flows
Lattice-Boltzmann vs. Navier-Stokes simulation of particulate flows Amir Eshghinejadfard, Abouelmagd Abdelsamie, Dominique Thévenin University of Magdeburg, Germany 14th Workshop on Two-Phase Flow Predictions
More informationLattice Boltzmann Method for Moving Boundaries
Lattice Boltzmann Method for Moving Boundaries Hans Groot March 18, 2009 Outline 1 Introduction 2 Moving Boundary Conditions 3 Cylinder in Transient Couette Flow 4 Collision-Advection Process for Moving
More informationarxiv:cond-mat/ v1 [cond-mat.stat-mech] 11 Dec 2002
arxiv:cond-mat/0212257v1 [cond-mat.stat-mech] 11 Dec 2002 International Journal of Modern Physics B c World Scientific Publishing Company VISCOUS FINGERING IN MISCIBLE, IMMISCIBLE AND REACTIVE FLUIDS PATRICK
More informationFIELD SCALE RESERVOIR SIMULATION THROUGH A LATTICE BOLTZMANN FRAMEWORK. A Dissertation ZACHARY ROSS BENAMRAM
FIELD SCALE RESERVOIR SIMULATION THROUGH A LATTICE BOLTZMANN FRAMEWORK A Dissertation by ZACHARY ROSS BENAMRAM Submitted to the Office of Graduate and Professional Studies of Texas A&M University in partial
More informationA Generalized Lattice Boltzmann Method for Three-Dimensional Incompressible Fluid Flow Simulation
Journal of Applied Fluid Mechanics Vol. 2 No. 1 pp. 71-96 2009. Available online at www.jafmonline.net ISSN 1735-3645. A Generalized Lattice Boltzmann Method for Three-Dimensional Incompressible Fluid
More informationDNS STUDY OF TURBULENT HEAT TRANSFER IN A SPANWISE ROTATING SQUARE DUCT
10 th International Symposium on Turbulence and Shear Flow Phenomena (TSFP10), Chicago, USA, July, 2017 DNS STUDY OF TURBULENT HEAT TRANSFER IN A SPANWISE ROTATING SQUARE DUCT Bing-Chen Wang Department
More informationMultiphase Flow Simulations in Inclined Tubes with Lattice Boltzmann Method on GPU
Multiphase Flow Simulations in Inclined Tubes with Lattice Boltzmann Method on GPU Khramtsov D.P., Nekrasov D.A., Pokusaev B.G. Department of Thermodynamics, Thermal Engineering and Energy Saving Technologies,
More informationSimulation of lid-driven cavity ows by parallel lattice Boltzmann method using multi-relaxation-time scheme
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS Int. J. Numer. Meth. Fluids 2004; 46:921 937 Published online 27 September 2004 in Wiley InterScience (www.interscience.wiley.com). DOI: 10.1002/d.787
More informationDesigning Correct Fluid Hydrodynamics on A Rectangular Grid using MRT Lattice Boltzmann Approach
Computers & Fluids 00 04 3 Computers & Fluids Designing Correct Fluid Hydrodynamics on A Rectangular Grid using MRT Lattice Boltzmann Approach Yuan Zong a,b, Zhaoli Guo c, Lian-Ping Wang b,c, a State key
More informationApplication of Reconstruction of Variational Iteration Method on the Laminar Flow in a Porous Cylinder with Regressing Walls
Mechanics and Mechanical Engineering Vol. 21, No. 2 (2017) 379 387 c Lodz University of Technology Application of Reconstruction of Variational Iteration Method on the Laminar Flow in a Porous Cylinder
More informationME615 Project Presentation Aeroacoustic Simulations using Lattice Boltzmann Method
ME615 Project Presentation Aeroacoustic Simulations using Lattice Boltzmann Method Kameswararao Anupindi Graduate Research Assistant School of Mechanical Engineering Purdue Universit December 11, 11 Outline...
More informationFluid Equations for Rarefied Gases
1 Fluid Equations for Rarefied Gases Jean-Luc Thiffeault Department of Applied Physics and Applied Mathematics Columbia University http://plasma.ap.columbia.edu/~jeanluc 23 March 2001 with E. A. Spiegel
More informationLattice Bhatnagar Gross Krook model for the Lorenz attractor
Physica D 154 (2001) 43 50 Lattice Bhatnagar Gross Krook model for the Lorenz attractor Guangwu Yan a,b,,liyuan a a LSEC, Institute of Computational Mathematics, Academy of Mathematics and System Sciences,
More informationApplications of Three-Dimensional LBM-LES Combined Model for Pump Intakes
Commun. Comput. Phys. doi: 10.4208/cicp.OA-2017-0092 Vol. 24, No. 1, pp. 104-122 July 2018 Applications of Three-Dimensional LBM-LES Combined Model for Pump Intakes Miao Guo 1, Xuelin Tang 1,2,, Yanwen
More informationExercice I Exercice II Exercice III Exercice IV Exercice V. Exercises. Boundary Conditions in lattice Boltzmann method
Exercises Boundary Conditions in lattice Boltzmann method Goncalo Silva Department of Mechanical Engineering Instituto Superior Técnico (IST) Lisbon, Portugal Setting the problem Exercise I: Poiseuille
More informationTwo-Dimensional Unsteady Flow in a Lid Driven Cavity with Constant Density and Viscosity ME 412 Project 5
Two-Dimensional Unsteady Flow in a Lid Driven Cavity with Constant Density and Viscosity ME 412 Project 5 Jingwei Zhu May 14, 2014 Instructor: Surya Pratap Vanka 1 Project Description The objective of
More informationCoupling of Lattice Boltzmann Equation and Finite Volume Method to Simulate Heat Transfer in a Square Cavity
Copyright 2009 Tech Science Press FDMP, vol.5, no.3, pp.283-295, 2009 Coupling of Lattice Boltzmann Equation and Finite Volume Method to Simulate Heat Transfer in a Square Cavity Ahmed Mezrhab 1 and Hassan
More informationA one-point boundary condition for the lattice Boltzmann method
manuscript A one-point boundary condition for the lattice Boltzmann method Michael Junk and Zhaoxia Yang FB Mathematik und Statistik, Universität Konstanz, Fach D194, 78457 Konstanz, Germany (Dated: September
More informationLattice Boltzmann methods Summer term Cumulant-based LBM. 25. July 2017
Cumulant-based LBM Prof. B. Wohlmuth Markus Muhr 25. July 2017 1. Repetition: LBM and notation Discretization SRT-equation Content 2. MRT-model Basic idea Moments and moment-transformation 3. Cumulant-based
More informationLATTICE BOLTZMANN METHOD FOR FLUID FLOWS
Annu. Rev. Fluid Mech. 1998. 30:329 64 Copyright c 1998 by Annual Reviews Inc. All rights reserved LATTICE BOLTZMANN METHOD FOR FLUID FLOWS Shiyi Chen 1,2 and Gary D. Doolen 2 1 IBM Research Division,
More informationCorresponding Author (Received October 22, 2012; accepted May 1, 2013) ABSTRACT
Journal of Applied Fluid Mechanics Vol. 7 No. 1 pp. 89-102 2014. Available online at www.jafmonline.net ISSN 1735-3572 EISSN 1735-3645. A Multi-Relaxation-Time Lattice Boltzmann Method on Non- Uniform
More informationValidation 3. Laminar Flow Around a Circular Cylinder
Validation 3. Laminar Flow Around a Circular Cylinder 3.1 Introduction Steady and unsteady laminar flow behind a circular cylinder, representing flow around bluff bodies, has been subjected to numerous
More informationDiscrete Boltzmann Method with Maxwell-Type Boundary Condition for Slip Flow
Commun. Theor. Phys. 69 (208) 77 85 Vol. 69, No., January, 208 Discrete Boltzmann Method with Maxwell-Type Boundary Condition for Slip Flow Yu-Dong Zhang ( 张玉东 ),,2 Ai-Guo Xu ( 许爱国 ),,3, Guang-Cai Zhang
More informationarxiv: v1 [physics.flu-dyn] 14 Feb 2017
This draft was prepared using the LaTeX style file belonging to the Journal of Fluid Mechanics 1 arxiv:170.0410v1 [physics.flu-dyn] 14 Feb 017 A comment on An improved macroscale model for gas slip flow
More informationFREE CONVECTIVE HEAT TRANSFER FROM AN OBJECT AT LOW RAYLEIGH NUMBER
Free Convective Heat Transfer From an Object at Low Rayleigh Number FREE CONVECTIVE HEAT TRANSFER FROM AN OBJECT AT LOW RAYLEIGH NUMBER Md. Golam Kader and Khandkar Aftab Hossain * Department of Mechanical
More informationSummary of Dimensionless Numbers of Fluid Mechanics and Heat Transfer
1. Nusselt number Summary of Dimensionless Numbers of Fluid Mechanics and Heat Transfer Average Nusselt number: convective heat transfer Nu L = conductive heat transfer = hl where L is the characteristic
More informationFluid Equations for Rarefied Gases
1 Fluid Equations for Rarefied Gases Jean-Luc Thiffeault Department of Applied Physics and Applied Mathematics Columbia University http://plasma.ap.columbia.edu/~jeanluc 21 May 2001 with E. A. Spiegel
More informationNumerical Heat and Mass Transfer
Master Degree in Mechanical Engineering Numerical Heat and Mass Transfer 15-Convective Heat Transfer Fausto Arpino f.arpino@unicas.it Introduction In conduction problems the convection entered the analysis
More informationGrad s approximation for missing data in lattice Boltzmann simulations
Europhysics Letters PREPRINT Grad s approximation for missing data in lattice Boltzmann simulations S. Ansumali 2, S. S. Chikatamarla 1 and I. V. Karlin 1 1 Aerothermochemistry and Combustion Systems Laboratory,
More informationResearch Article Numerical Simulation of Viscous Flow over a Square Cylinder Using Lattice Boltzmann Method
International Scholarly Research Network ISRN Mathematical Physics Volume 212, Article ID 6381, 16 pages doi:1.542/212/6381 Research Article Numerical Simulation of Viscous Flow over a Square Cylinder
More informationOn the influence of tube row number for mixed convection around micro tubes
Thessaloniki, Greece, 22-24 August 211 On the influence of tube row number for mixed convection around micro tubes Chuanshan DAI, Qiuxiang WANG, Biao LI * Corresponding author: Tel.: +86-22274183; Fax:
More informationProceedings of Meetings on Acoustics
Proceedings of Meetings on Acoustics Volume 19, 2013 http://acousticalsociety.org/ ICA 2013 Montreal Montreal, Canada 2-7 June 2013 Engineering Acoustics Session 1pEAa: Active and Passive Control of Fan
More informationFlow simulation of fiber reinforced self compacting concrete using Lattice Boltzmann method
Flow simulation of fiber reinforced self compacting concrete using Lattice Boltzmann method 1 Oldřich Švec 1 * 1 Technical University of Denmark, Department of Civil Engineering, Lyngby, Denmark 2 Jan
More informationIMPLEMENTING THE LATTICE-BOLTZMANN
IMPLEMENTING THE LATTICE-BOLTZMANN METHOD A RESEARCH ON BOUNDARY CONDITION TECHNIQUES by S.C. Wetstein in partial fulfillment of the requirements for the degree of Bachelor of Science in Applied Physics
More informationSimulating Drag Crisis for a Sphere Using Skin Friction Boundary Conditions
Simulating Drag Crisis for a Sphere Using Skin Friction Boundary Conditions Johan Hoffman May 14, 2006 Abstract In this paper we use a General Galerkin (G2) method to simulate drag crisis for a sphere,
More information