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1 CFD JAXA CFD CFD Navier-Stokes
2 CFD CFD Navier-Stokes ,500,000 CFD Copyright Boeing CFD Boeing B777 HP
3 CFD European Transonic Wind tunnel (-163 ) JAXA 2mx2m CFD (Computational Fluid Dynamics) CFD CFD E. N. Tinoco AIAA
4 : *= , 0.8, 0.15 C 1/300,000C < L < 50C M =0.75, Re=6.5x % C 2% C Re = )()() ( ) = ( ) () Navier-Stokes Stokes Navier-Stokes 5 ρ ρu Q = ρv, ρw E ρu 2 ρu + p τ xx F = ρvu τ xy, ρwu τ zx T ρhu ( τ u) x k x Q F G H = 0 t x y z ρv ρuv τ xy 2 ρv + p τ yy G =, ρwv τ yz T ρhv ( τ u) y k y ρw ρuw τ xz H = ρvw τ yz 2 ρw + p τ zz T ρhw ( τ u) z k z
5 Reynolds Navier-Stokes(RANS) Euler Euler Prandtl-Glauret TRANAIR(1989) Boeing 90CFD TRANAIR F. T. Johnson et. al AIAA
6 CFD CFD CFD CFD - E. N. Tinoco AIAA F. T. Johnson et. al AIAA CFD CFD CFD Navier-Stokes
7 CFD CFD Navier-Stokes Navier-Stokes Stokes CFD ONERA M5 3 2 VP2600, VP CFD Capability Computing ONERA M
8 ( ) ONERA M SGI Onix CPU ONERA M5 NSIII NSIII AIAA Drag Prediction Workshop II (2003) DLR-F6 1% 0.5% Fujitsu PRIMEPOWER CPU % 5% 1 DLR-F
9 AIAA Drag Prediction Workshop 3 (2006) JAXA
10 0.5% 1 Capability Computing C CD D CFD CFD Navier-Stokes UPACS WB UPACS FX2B TAS WB TAS FX2B E E E E E E E-05 N ^(-2/3) 1/N^(2/3)
11 CFD CFD CFD 3 RANS RANS 5000 B747 Airbus A CFD,,
12 CFD CFD European EUROLIFT 233 AIAA NASA Langley CFD Web JAXA CFD 100 Trapezoidal wing models JAXA CFD Code : TAS (Tohoku Univ. Aerodynamic Simulation Code) 6 Spalart-Allmaras 60m/s Re=2.1x10 6 FTFHLD JAXA NSIII (PRIMEPOWER HPC2500) Upper Surface Unstructured hybrid mesh Lower Surface -23- JAXA wind tunnel model B.L. transition locations (AoA=10deg)
13 (C L -α) CFD C L 2 Exp. (Corrected) Comp. (Fully Turb.) Angle of attack Exp. α=10.55 Comp.(w/oFTF) α=10 Exp. α=15.54 Comp.(w/oFTF) α=
14 CFD CFD Navier-Stokes 10, E. N. Tinoco AIAA
15 vs Kriging ANOVA (analysis of variance) SOM (self-organizing map)
16 CFD AIAA Applied Aerodynamics Conf MSC. NASTRAN / Navier-Stokes solver TAS) Block Fuel Aerodynamic Model (Unstructured mesh) Adaptive Range Multi-Objective Genetic Algorithm Structural Model (Wing box: Shell elements) Modified PARSEC : 9 design variables * 3 cross sections : 6 spanwise locations : 2 positions at kink and tip
17 1 1 ARMOGA Individual # 1 Individual # 8 Static Aeroelastic Analysis Module Euler =Const. No Subsonic Static Analysis Displacement Converge? Yes 3conditions Euler eq. N-S eq CFD Aerodynamic Model ite=ite+1 ite=1 Transonic Euler =Const. No Static Analysis Displacement Converge? Yes 5conditions Structural Model if (ite=1) then Strength/Flutter Optimization endif Euler =Const. Static Analysis Displacement Converge? Yes 3conditions N-S S Comps. - Evaluation of Three Objective Functions Block Fuel Max Takeoff Weight C D divergence (MDD) -Check of Constraints MLD Fuel Quantity Block Fuel Module Individual # i Off-design No : Nondominated solution 4counts initial solution C D divergence Block Fuel [kg] 10kg 50kg Max Takeoff Weight [kg]
18 SOM Block Fuel Max Takeoff Weight C D Divergence N-S N-S1 N-S 100 CFD
19 /NEDO Navier-Stokes CFD 10 RANSCFD CFD 100 RANS Large Eddy Simulation
Contents
Simulation Engineering Solution s NS Plant Designing Corporation Contents 2014 1 2 2014 2014 3 4 2014 - i u j 2014 5 N= 0.3N =200 mm N=1581.9N 6 2014 Z Y X 2014 7 by Marc) 8 2014 CFDEM LIGGGHTS DEM CFD
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247 Introduction of Computational Simulation Methods of Flow and Heat Transfer for Engineering Design Minoru SHIRAZAKI Masako IWATA Ryutaro HIMENO PC CAD CAD 248 Voxel CAD Navier-Stokes v 1 + ( v ) v =
More information(5) 75 (a) (b) ( 1 ) v ( 1 ) E E 1 v (a) ( 1 ) x E E (b) (a) (b)
(5) 74 Re, bondar laer (Prandtl) Re z ω z = x (5) 75 (a) (b) ( 1 ) v ( 1 ) E E 1 v (a) ( 1 ) x E E (b) (a) (b) (5) 76 l V x ) 1/ 1 ( 1 1 1 δ δ = x Re x p V x t V l l (1-1) 1/ 1 δ δ δ δ = x Re p V x t V
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II 29 7 29-7-27 ( ) (7/31) II (http://www.damp.tottori-u.ac.jp/~ooshida/edu/fluid/) [ (3.4)] Navier Stokes [ (6/29)] Navier Stokes 3 [ (6/19)] Reynolds [ (4.6), (45.8)] [ p.186] Navier Stokes I Euler Navier
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II 14 14-7-8 8/4 II (http://www.damp.tottori-u.ac.jp/~ooshida/edu/fluid/) [ (3.4)] Navier Stokes [ 6/ ] Navier Stokes 3 [ ] Reynolds [ (4.6), (45.8)] [ p.186] Navier Stokes I 1 balance law t (ρv i )+ j
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15 C11-4 Numerical analysis of flame propagation in a combustor of an aircraft gas turbine, 4-6-1 E-mail: tominaga@icebeer.iis.u-tokyo.ac.jp, 2-11-16 E-mail: ntani@iis.u-tokyo.ac.jp, 4-6-1 E-mail: itoh@icebeer.iis.u-tokyo.ac.jp,
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