Development of lattice boltzmann method for compressible flows

... 1.2 Lattice Boltzmann method 1.2.1 Basis of lattice Boltzmann method 1.2.2 Lattice Boltzmann models LB models for compressible ... kinetic method, direct simulation 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 ... because of the sim...

Ngày tải lên: 14/09/2015, 14:01

... Remarks 142 vi Chapter Application of Immersed Boundary- Phase Field- Lattice Boltzmann Method for Solid- Multiphase Flow Interactions 161 6.1 Solid- Multiphase Flow Interactions 162 6.2 Simulation ... layer formed on solid surface Chapter presents application of immersed boundary phase- field lattice Boltzmann method to study solid- multiphase...

Ngày tải lên: 10/09/2015, 09:06

... GAGATGGATAAAGTTTTAAACAGAG-3¢ and LTA1R, 5¢-TGAAGGCAAATCTCTGGAC-3¢ for the former, and LTA–M2F, 5¢-CAGCTGTTTTGCTTGAATTATG-3¢ and LTA–2R, 5¢-GAATTCATTATGTTTCAGGTTCA GGGG-3¢ for the latter The PCR products ... functions and intracellular signaling Thus, our system provides an accessible method to examine the endothelial cell biology of the mouse, and will accelerat...

Ngày tải lên: 18/02/2014, 17:20

... rise of compressor are investigated to study the effects of inlet parameters on the compressor performance and characteristics Figure 4.16 indicates that a smaller inlet flow angle causes a higher ... vertical distorted velocity coefficient propagates along axial direction at higher inlet incident angles, θ ≥ 25° In Fig 4.6, smaller inlet incident angle induces a larger...

Ngày tải lên: 21/06/2014, 21:20

... 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 ... 1.3.3 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...

Ngày tải lên: 09/09/2015, 11:22

... boundary – lattice Boltzmann method 15 1.6 Applications in thermal and moving boundary problems using immersed boundary – lattice Boltzmann method 17 1.6.1 Natural convection in a complex ... Immersed boundary – thermal lattice Boltzmann method IFEM Immersed finite element method IIM Immersed interface method ISLBM Interpolation-supplemented...

Ngày tải lên: 09/09/2015, 11:16

... 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 ... Non -Boundary Conforming Method 1.2.1 Sharp interface approach 1.2.2 Diffuse interface approach 1.2.2.1 Immersed boundary method 1.2.2.2 Force calculation in IBM 1.2....

Ngày tải lên: 11/09/2015, 09:59

... model multiphase flows 1.2 Overview of lattice Boltzmann method To understand the lattice Boltzmann method, it is necessary for us to review some basic aspects of LBM first In history, the lattice ... models generated by this platform Chapter gives a detailed description of the modeling of multiphase flows by LBM There are three main methods to model multipha...

Ngày tải lên: 13/09/2015, 21:34

... SIMULATIONS OF INCOMPRESSIBLE VISCOUS THERMAL FLOWS BY LATTICE BOLTZMANN METHOD PENG YAN (B Eng., M Eng., Nanjing University of Aeronautics and Astronautics, ... difficulties and lattice Boltzmann method is one of the outcomes Chapter Introduction 1.1.2.3 Lattice Boltzmann method The main difference between LGA and lattice Boltzmann method (LBM) is th...

Ngày tải lên: 16/09/2015, 17:13

... “so-called immersed boundary methods are not real immersed boundary methods and therefore fall out of the scope of the present 13       Chapter Introduction thesis 1. 3 Brief review of Immersed boundary ... function-vorticity formulation-based immersed boundary method; The reported immersed boundary methods for thermal flows are not capable of exactl...

Ngày tải lên: 09/09/2015, 11:17

... Δs1 ⎟⎜ 21 Dh N ⎟ ⎜ Dh Δs1 ⎟⎜ ⎟⎜ MN ⎟ ⎜ Dh ⎠ ⎝ DhN 1Δs1 12 Dh 22 Dh DhM 12 Dh Δs2 22 Dh Δs2 DhN Δs2 DhM ΔsM ⎞ ⎟ Dh M ΔsM ⎟ ⎟ ⎟ NM Dh ΔsM ⎟ ⎠ (2. 25) ⎛ U n +1 B ,1 ⎜ n +1 U [B F ] = ⎜ B ,2 ⎜ ⎜ n ... (2. 28) ρU ∞ D 43      Chapter Governing Equations and Boundary Condition-Enforced IBM CL = FL (2. 29) ρU ∞ D where FD and FL are the drag and lift forces on the cylinder surface For...

Ngày tải lên: 09/09/2015, 11:17

... ∂x (3. 3) and the stream function is related to the velocity by u= ∂ϕ ∂y v=− (3. 4) ∂ϕ ∂x (3. 5) Note that ω + Θ in Eq (3. 3) is the physical vorticity Eqs (3. 1) to (3. 5) together with Eqs (2 .3) and ... (3. 8) and (3. 9) and obtain predicted vorticity ω * and stream function ϕ * ; 2) Substitute ϕ * to Eqs (3. 4) and (3. 5) to calculate the predicted velocity * field u ; 3) Com...

Ngày tải lên: 09/09/2015, 11:17

... = TB (X(s, t ), t ) (4. 4) Here Eqs (4. 1a), (4. 2), (4. 3) describe forced convection problems while Eqs (4. 1b), (4. 2), (4. 3) describe natural convection problems In Eq (4. 1b), the Boussinesq approximation ... ∫ − T Γ total Γ Lref (4. 22) where Ltotal is the total length of the immersed boundary Ltotal = ∫ Γ (4. 23) ds As shown in Eqs (4. 21) and (4. 22), the evaluation of loca...

Ngày tải lên: 09/09/2015, 11:17

... releases constant and uniform heat flux is simulated for several low and moderate Reynolds numbers of 1 35     Chapter An Efficient IBM for Thermal Flow Problems with Heat Flux Boundary Condition ... investigations are carried out for three Rayleigh numbers of Ra = 1000, 57 00 and 5 10 while Prandtl number is kept at Pr = 0.7 The initial conditions are set as zero for...

Ngày tải lên: 09/09/2015, 11:17

... in Fig 6. 10 To get a clear view of the ground effect on the aerodynamic forces, C H 161       Chapter Applications of Developed IBM Solvers to Simulate 2D Fluid and Thermal Flows and CV for the ... (see Fig 6. 25(a) and Fig .6. 25(c) for comparison), but higher vibration frequencies play a role of progressively reducing the longitudinal vortex spacing (see Fig 6. 26( b...

Ngày tải lên: 09/09/2015, 11:17