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...
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....
Development of a miniature low cost UAV helicopter autopilot platform and formation flight control of UAV teams 1
... Miniature UAV helicopter also has special attractiveness to the academic circle because of their smaller size, expendable lower cost, outstanding maneuverability, ease of uses, and wide range of capabilities ... name a few However, due to the highly dynamic behavior of helicopter, limited payload capability and lack of highly accurate sensors, miniature UAVs are stil...
Development of a miniature low cost UAV helicopter autopilot platform and formation flight control of UAV teams 2
... 22 0 23 0 24 0 25 0 190 20 0 21 0 22 0 23 0 24 0 25 0 190 20 0 21 0 22 0 23 0 24 0 25 0 190 20 0 21 0 22 0 Time: s 23 0 24 0 25 0 0.5 0.48 180 0 .24 col 21 0 0.54 0. 52 180 0. 52 δ 20 0 0 .23 0 .22 180 a Inputs of automatic ... 22 0 23 0 24 0 25 0 e UAV angular rates of automatic hovering flight test attitude output φ (deg) 10 −5 180 190 20 0 21 0 22 0...
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...
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 exactl...
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...
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) Com...
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 loca...
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...
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...
Development of immersed boundary methods for isothermal and thermal flows 7
... (20 07) reported the variation of the drag and lift forces for Reynolds number of 50, 100 and 200 Yoon & Yang (20 07) , by performing a parametric study, estimated flow-induced forces on two 2 27 ... terms of temperature contours (isotherms) in Figs 7. 3 and 7. 4, for isothermal condition and isoflux condition, respectively As expected, the isotherms are symmetric about...
Development of immersed boundary methods for isothermal and thermal flows 8
... overall width of the wake is larger The time-dependent hydrodynamic forces experienced by the fish for Re = 300 and 4000 are plotted in Figs 8. 18( a) and 8. 18( b), respectively, in forms of force coefficient ... cases of St = 0 .8 and 1.0 in Figs 8. 10(b) and 8. 10(c), a diamond-shaped region of high velocity exists immediately behind the flapping foil and there is...
Development of immersed boundary methods for isothermal and thermal flows 9
... ( 199 7) 2807-28 19 Liu H., Wassersug R.J., Kawachi K., A computational fluid dynamics study of tadpole swimming, J Exp Biol., 199 ( 199 6) 1245-1260 Ljachowski D.N., J techn Phys., Leningrad, 99 9 ... Stability of flows past a pair of circular cylinders in a side-by-side arrangement, J Fluid Mech., 595 (2008) 491 -507 Mohd-Yusof J., Combined immersed boundaries/B-Splines methods...
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