outline of entropic lattice boltzmann model

... STANDARD LATTICE BOLTZMANN METHOD CHAPTER STANDARD LATTICE BOLTZMANN METHOD 2.1 The Lattice Gas Cellular Automata Before going through the Lattice Boltzmann Method (LBM), an overview is given of its ... Objectives and Scope of Study CHAPTER STANDARD LATTICE BOLTZMANN METHOD 15 16 2.1 Lattice Gas Cellular Automata 16 2.2 Basic Idea of LBM 24 2.3 BGK Approximation 27 2.4 Determination of Lattice Weights ... A GENERALISED LATTICE- BOLTZMANN MODEL OF FLUID FLOW AND HEAT TRANSFER WITH POROUS MEDIA XIONG JIE B Eng HUST A THESIS SUBMITTED FOR THE DEGREE OF MASTER OF ENGINEERING DEPARTMENT OF MECHANICAL...

Ngày tải lên: 16/09/2015, 12:42

... axisymmetric D2Q9 models in detail in Chapter 1.5 Outline of Thesis In Chapter 2, the basic knowledge of lattice Boltzmann methods are introduced The derivation and theory of the classical Boltzmann ... Courant-Friedrichs-Lewy finite difference finite volume method lattice Boltzmann equation lattice Boltzmann method lattice BGK Navier-Stokes Thermal lattice Boltzmann equation xix Chapter Chapter Introduction ... Slope of linear fit of E1 (two-block case) is m=-2.21±0.16 Slope of linear fit of E1 (single-block case) is m=-2.12±0.38 (b) Slope of linear fit of E2 (two-block case) is m=-2.09±0.18 Slope of linear...

Ngày tải lên: 11/09/2015, 14:36

... flow and heat transfer of nanofluids by the thermal Lattice Boltzmann model Prog Comput Fluid Dyn 2005, 5:13-19 24 Arcidiacono S, Mantzaras J: Lattice Boltzmann simulation of catalytic reactions ... Prc 2 t (17) Lattice Boltzmann model for nanofluid The fluid in the enclosure is Al2O3-water nanofluid Thermo-physical properties of water and Al2O3 are given in Table The nanofluid is assumed ... nanofluid is a single phase fluid Hence, the equations of physical parameters of nanofluid are as follows: Density equation:  nf = (1 −  ) f +  p (18) where rnf is the density of nanofluid,...

Ngày tải lên: 21/06/2014, 05:20

... Interpolation-supplemented LBM LGCA lattice gas cellular automata LBE Lattice Boltzmann equation LB/LBM Lattice Boltzmann /Lattice Boltzmann method xxi LILBM Lagrangian interpolation based LBM NF Number of forcing/sub-iteration ... Thermal Lattice Boltzmann Method 92 4.1 Numerical methodology 93 4.1.1 Thermal lattice Boltzmann method 93 iv 4.1.2 Flexible forcing immersed boundary – thermal lattice Boltzmann ... and efficient version of IBM, coupled together with lattice Boltzmann fluid solver At first, we have proposed a 2D version of flexible forcing immersed boundary – lattice Boltzmann method (IB...

Ngày tải lên: 09/09/2015, 11:16

... Chapter Development of Thermal Lattice Boltzmann Flux Solver for Simulation of Thermal Incompressible Flows 70 3.1 Simplified thermal lattice Boltzmann model 71 3.2 Thermal Lattice Boltzmann Flux ... Immersed boundary method IB-LBM Immersed boundary- lattice Boltzmann method LBE Lattice Boltzmann equation LBFS Lattice Boltzmann flux solver LBM Lattice Boltzmann Method MEMS Micro-electromechanical ... Advantages and disadvantages of the LBE solver 20 1.4 Motivations and objectives of the thesis 21 1.5 Organization of the thesis 24 iii Chapter Development of Lattice Boltzmann Flux Solver for Isothermal...

Ngày tải lên: 09/09/2015, 11:22

... types of LBMs for interfacial dynamics They are color-fluid model of Gunstensen and collaborators (1991), inter-particle-potential model of Shan and Chen (1993, 1994), mean-field model of He ... efficiency of the Z-S-C model, an improved model for correct consideration of density contrast will be developed in this work 1.3 Modeling of Solid-Fluid Interactions The preceding section reviewed modeling ... of this thesis will be presented at the end of the Chapter 1.2 Modeling of Multiphase Flow Thanks to the rapid development of algorithms and computational power, direct numerical simulation of...

Ngày tải lên: 10/09/2015, 09:06

... Drag coefficients of flows over a torus 210 xi LIST OF FIGURES Figure 2.1 D2Q9 lattice velocity model 46 Figure 2.2 D3Q15 lattice velocity model 46 Figure 2.3 Schematic diagram of TLLBM, 2D case ... Organization of The Thesis 23 Chapter Development of Efficient Lattice Boltzmann Method on Non-Uniform 25 Cartesian Mesh 2.1 Standard LBM 26 2.2 Taylor Series Expansion and Least Squares-base Lattice Boltzmann ... 1.2.2.3 Advantages and disadvantages of IBM 10 1.3 Lattice Boltzmann Method 12 1.3.1 Features of LBM 12 1.3.2 Historic development of LBM 13 1.3.3 Implementation of boundary conditions in LBM 15...

Ngày tải lên: 11/09/2015, 09:59

... Development of a general platform for LBM 213 213 vi Table of Contents 9.1.2 Development of a lattice Boltzmann interface capturing model 214 9.1.3 Development of a lattice Boltzmann model for ... developing new lattice Boltzmann models, International Journal of Modern Physics C, 16 (1), 61-84, 2005 28 Chapter A Platform for Developing New Lattice Boltzmann Models square-based lattice Boltzmann ... iii Table of Contents 4.2 Methodology 85 4.2.1 Development of a new lattice Boltzmann interface capturing model 85 4.2.2 Comparisons with other lattice Boltzmann interface capturing models 4.3...

Ngày tải lên: 13/09/2015, 21:34

... 1.2.1 Basis of lattice Boltzmann method 1.2.2 Lattice Boltzmann models LB models for compressible flows 1.3.1 Current LB models for ... function c Radius of the circular function Ω Collision operator λ Rest energy τ Relaxation time of BGK collision model ξ Particle velocity ei Discrete velocity vector of lattice Boltzmann model P Particle ... Monte Carlo, the lattice Boltzmann method, dissipative particle dynamics method, the molecular dynamics method, and so on 1.2 1.2.1 Lattice Boltzmann method Basis of lattice Boltzmann method...

Ngày tải lên: 14/09/2015, 14:01

... FE2-LBM Lattice Boltzmann Model for FE2 xix FE2-LBM-A / B Implementation A / B of FE2-LBM FEM Finite Element Method FT Front Tracking (Method) LBE Lattice Boltzmann Equation LBM Lattice Boltzmann ... description of the problem 98 4.3.2 Effects of surface tension 99 4.3.3 Effects of lower wall wettability 100 4.3.4 Effects of body force direction 102 4.3.5 Effects of density ratio 103 4.3.6 Effects of ... Couette Flow 83 Fig 3.2 Comparison of Couette flow velocity profile 83 Fig 3.3 Comparison of Poiseuille flow velocity profile 84 Fig 3.4 Comparison of velocity profiles along two center lines (...

Ngày tải lên: 14/09/2015, 14:10

... requirements of the lattice models 35 2.3.3 The equilibrium distribution function 36 2.3.4 Examples of the two-dimensional lattice models 36 2.3.5 Examples of the three-dimensional lattice models 38 ... Applications of the thermal models 219 Recommendations 222 9.2.1 Development of the thermal models 222 9.2.2 Applications of the thermal models 9.2 Conclusions 9.1.1 Development of the thermal models ... finite volume lattice thermal model 96 4.5.1 Validation of the finite volume lattice thermal model 4.5 New implementation of wall boundary conditions for FVLBM 4.3.2 Validation of the half-covolume...

Ngày tải lên: 16/09/2015, 17:13

... class of models under the point of view of statistical mechanics The models are defined for simplicity on the standard lattice Zd However, most of the results apply unchanged to very general lattices ... proof of the Large Deviation statement is based on the possibility to approximate with partition functions on cells of a triangulation given in terms of Lr neighbourhoods of linearizations of ... space of microscopic configurations X : Zd → Rm This includes the case of elasticity where m = d and X(i) denoting the vector of displacement of the atom labeled by i as well as the case of random...

Ngày tải lên: 26/11/2015, 10:18

... injection timing, the amount of fuel pressure added to the timer piston of the injection pump is controlled, and the position of the piston is varied The movement of the timer piston rotates the ... the slide pin As a result, the position of the roller relative to the cam plate is changed, which varies the timing of the start of injection The control of injection timing when the timing control ... low pressure side of the timer piston, according to actuating signals from the engine ECU The opening degree of these passages is controlled by the ON/OFF rate (duty ratio) of the current energized...

Ngày tải lên: 23/10/2012, 09:09

... ECU opens (OFF) the solenoid spill valve at a position corresponding to the number of pulses (injection end position) calculated by the ECU The pulse count is based on the number of NE (Engine ... pulses counted after the toothless section of the pulsar is detected Toothless Section Engine Speed Sensor Signal (Cam Angle) Injection Angle (Time) End of Injection Lift Start Cam Lift Closed Closed ... position aligns with the tooth of the pulsar (gear) attached to the drive shaft The pulsar and the cam plate are unified into one unit by the coupling, so if the position of the pulsar is detected...

Ngày tải lên: 23/10/2012, 09:09

... based on a first pass of signal-noise ratio of and a minimum peak threshold of 20% of all spectra This process was completed with a second pass of peak selection at 0.2% of the mass window, and ... calculated as the ratio of the 42 number of correctly classified diseased samples to the total number of diseased samples Specificity was calculated as the ratio of the number of negative samples ... Diagnostic Model The decision tree could differentiate samples of CRC and healthy controls Here, we used the biomarker wizard function of the ProteinChip software to identify clusters of peaks...

Ngày tải lên: 25/10/2012, 11:18

... model and the accumulation model As shown in Table 1, the stability constants of the toxicity model were different from those of the accumulation model except for calcium Stability constant of ... conformation of BL caused by this binding of proton result in decreases in the number of BL The conformation change of BL may decrease the internalization flux of - 343 - Journal of Water and ... for toxicity model and those for accumulation model Stability constant of copper for toxicity model was lower than that for accumulation model, and the difference seemed to be because of the detoxification...

Ngày tải lên: 05/09/2013, 10:15

... problem OP11 of system CP-24 Variable Power (ISO) of gas turbine GT01 (kW) Power (ISO) of gas turbine GT01a (kW) Load of gas turbine GT01 Load of gas turbine GT01a Steam pressure at exit of mixer ... the sum of the specific costs of the system products, which include the costs of capital investment, fuel, and operation and maintenance The total system product is the sum of the exergies of the ... the final value OFf; of course, OFf is improved relative to OF0 Indeed, one expects that Xf is close to, if not coincident with, the system global optimum point X*, associated with OF* ISSN 2076-2895...

Ngày tải lên: 05/09/2013, 16:30

... and remote areas of Pakistan The phenomenon of micro finance is yet to attract the attention from the low income groups, mainly because of lack of its awareness and non existence of such products ... some sentences of English It also reflects their lack of intellect to understand the complexity of any micro finance model, which creates skepticism in understanding the phenomenon of repayment ... gender of participants matter? The Journal of Political Economy, 106, 958-996 Woller, G and Parsons, R (2002) Assessing the community economic impact of microfinance institutions Journal of Developmental...

Ngày tải lên: 06/09/2013, 05:48

... time dependence of pj is omitted, the time variation of  can be written as X ðtÞ ¼ UðtÞj j ð0Þipj h j ð0ÞjUðtÞy ¼ UðtÞð0ÞUðtÞy ðA1:6Þ j Then, calculation of the time derivative of  results in ... calculate the value of the macroscopic observable hAi without knowing j ji and pj, provided that  is obtained A1.2 EQUATION OF MOTION FOR THE DENSITY OPERATOR The time variation of a state j ji ... equation to calculate (t), followed by calculation of hAi by Eq (A1.4), clarifies the behavior of the whole system concerning the observation of the quantity A The above description is made in...

Ngày tải lên: 17/10/2013, 13:15