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Development of lattice boltzmann method for compressible flows

Development of lattice boltzmann method for compressible flows

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 simple form of CF-VIIF This is a major advantage of our derivation method As shown in the next chapter, we will further extend this method to develop lattice Boltzmann models for compressible...
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Development of immersed boundary phase field lattice boltzmann method for solid multiphase flow interactions

Development of immersed boundary phase field lattice boltzmann method for solid multiphase flow interactions

... 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 flow interactions An introduction of solid- multiphase ... Modeling of Multiphase Flow 1.2.1 Navier-Stokes solvers for multiphase flow simulation 1.2.2 Lattice Boltzmann methods for multiphase flow simulation 1.2.3 Challenges faced by phase- field LBM...
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Tài liệu Báo cáo khoa học: Development of a new method for isolation and long-term culture of organ-specific blood vascular and lymphatic endothelial cells of the mouse pdf

Tài liệu Báo cáo khoa học: Development of a new method for isolation and long-term culture of organ-specific blood vascular and lymphatic endothelial cells of the mouse pdf

... 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 accelerate the molecular and cellular analysis of ... Heart Yolk sac Brain Embryo A chemistry using antibodies against the pan-EC marker, CD31, the lymphatic endothelial and liver sinusoidal endothelial marker Lyve-1 (lymphatic vessel endothelial...
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A Development of Novel Integral Method for Prediction of Distorted Inlet Flow Propagation_2 docx

A Development of Novel Integral Method for Prediction of Distorted Inlet Flow Propagation_2 docx

... 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 propagation of inlet ... Because a small inlet incident angle induces a large vertical flow in distorted region as shown in Fig 4.7, thus induces a small axial distorted velocity coefficient from (4.24b), and then a large...
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Development of lattice boltzmann flux solvers and their applications

Development of lattice boltzmann flux solvers and their applications

... 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 of Lattice Boltzmann Flux Solver for ... 1.2.4 Advantages and disadvantages of the N-S solver 1.3 Lattice Boltzmann equation solver 10 11 1.3.1 Origination and historical development of the LBE solver 12 1.3.2 Applications of the LBE solver...
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Development of a flexible forcing immersed boundary lattice boltzmann method and its applications in thermal and particulate flows

Development of a flexible forcing immersed boundary lattice boltzmann method and its applications in thermal and particulate flows

... 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 LBM LGCA lattice gas cellular automata LBE Lattice ... thermal flow problems such that both velocity and temperature boundary conditions are accurately satisfied 1.6 Applications boundary in thermal problems and using moving immersed boundary – lattice...
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Development of a novel immersed boundary lattice boltzmann method and its applications

Development of a novel immersed boundary lattice boltzmann method and its applications

... 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 1.2.2.3 Advantages and disadvantages ... 1.2.2.3 Advantages and disadvantages of IBM The major advantage of IBM is its simplicity and easy implementation This is attributed to the decoupling of the solution of governing equation with the boundary...
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Simulation of multiphase and multi component flows by lattice boltzmann method

Simulation of multiphase and multi component flows by lattice boltzmann method

... 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 multiphase flows by LBM Each method is evaluated ... CFD, that is naturally a demand to develop a lattice Boltzmann method to model multiphase flows In fact, several methods have been developed to model multiphase flows by LBM during the last twenty...
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Simulations of incompressible viscous thermal flows by lattice boltzmann method

Simulations of incompressible viscous thermal flows by lattice boltzmann method

... 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 that ... compression work done by pressure and viscous heat dissipation can be neglected for ix incompressible thermal flows, a simplified IEDDF thermal model for the incompressible thermal flows was proposed...
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Development of immersed boundary methods for isothermal and thermal flows 1

Development of immersed boundary methods for isothermal and thermal flows 1

... “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 exactly satisfying the Dirichlet thermal condition on the immersed boundary ... incompressible viscous flows is desired 1. 3.3 Applications of immersed boundary method The popularity of immersed boundary method has seen increased for flow problems with complex or /and moving boundaries...
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Development of immersed boundary methods for isothermal and thermal flows 2

Development of immersed boundary methods for isothermal and thermal flows 2

... 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 unsteady flows, ... (20 09) and Zhou & Shu (20 11) The variation of time-mean drag and r.m.s value of lift and drag versus fc / f s also match well with the results from Guilmineau et al (20 02) , Lee et al (20 09) and...
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Development of immersed boundary methods for isothermal and thermal flows 3

Development of immersed boundary methods for isothermal and thermal flows 3

... ∂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) Compute the elements of ... Substituting Eqs (3. 10) and (3. 11) into Eq (3. 3) and using Eq (3. 9) gives Θ= ∂ ( Δu ) ∂ ( Δ v ) − ∂y ∂x (3. 12) It should be noted that the key step in the proposed stream function-vorticity formulation-based...
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Development of immersed boundary methods for isothermal and thermal flows 4

Development of immersed boundary methods for isothermal and thermal flows 4

... = 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 local and average Nusselt numbers ... gap space 4. 4 Conclusions In this chapter, a boundary condition-enforced immersed boundary method is developed for heat transfer problems The effect of thermal boundaries on the flow and temperature...
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Development of immersed boundary methods for isothermal and thermal flows 5

Development of immersed boundary methods for isothermal and thermal flows 5

... 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 u and T∞ for T in the whole computational ... Ra = 57 00 Ra = 5 10 Fig 5. 6 Streamlines (left) and isotherms (right) for different Ra 148      Chapter An Efficient IBM for Thermal Flow Problems with Heat Flux Boundary Condition θ Fig 5. 7 Effect...
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Development of immersed boundary methods for isothermal and thermal flows 6

Development of immersed boundary methods for isothermal and thermal flows 6

... 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) and Fig 6. 25(c) for comparison) ... Fig 6. 13 The development of vortex structure in the forth stroke at Gc = 199      Chapter Applications of Developed IBM Solvers to Simulate 2D Fluid and Thermal Flows Fig 6. 14 Comparison of time-dependent...
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