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Drag Prediction for the DLR-F6 configuration using the Tetruss - Nasa

Drag Prediction for the DLR-F6 configuration using the Tetruss - Nasa

Drag Prediction for the DLR-F6 configuration using the Tetruss - Nasa

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Aircraft Company<br />

<strong>Drag</strong> <strong>Prediction</strong> <strong>for</strong> <strong>the</strong> <strong>DLR</strong>-<strong>F6</strong> <strong>configuration</strong> <strong>using</strong> <strong>the</strong><br />

TetrUSS Unstructured Grid CFD Software<br />

Chittur (Venkat) Venkatasubban * & Neal Pfeiffer +<br />

* Principal Engineer, + Principal Engineering Fellow & Manager<br />

Advanced Design<br />

Ray<strong>the</strong>on Aircraft Company<br />

Wichita, Kansas, USA<br />

Presented at <strong>the</strong><br />

3rd AIAA CFD <strong>Drag</strong> <strong>Prediction</strong> Workshop<br />

Sponsored by <strong>the</strong> Applied Aerodynamics TC<br />

2-Day Workshop Preceding <strong>the</strong> 25th APA Conference<br />

San Francisco, CA<br />

June 3-4, 2006


DPW - 3<br />

Aircraft Company<br />

• Acknowledgements to <strong>the</strong> TetrUSS team at NASA Langley<br />

– USM3Dns flow solver<br />

� Neal Frink, Paresh Parikh, Mohagna Pandya<br />

– GridTool / Vgrid grid generator<br />

� Shahyar Pirzadeh, Jamshid Samareh<br />

9/26/06 Page 2


DPW - 3<br />

• <strong>DLR</strong>-<strong>F6</strong> Configurations<br />

Configuration<br />

<strong>DLR</strong>-<strong>F6</strong> Wing<br />

Body<br />

<strong>DLR</strong>-<strong>F6</strong> Wing<br />

Body + FX2B<br />

fairing<br />

Grid<br />

Class<br />

Medium<br />

Coarse<br />

Medium<br />

Fine<br />

Tetrahedra<br />

6,483,682<br />

3,142,285<br />

6,284,018<br />

11,521,175<br />

Surface<br />

Triangles<br />

78,540<br />

59,660<br />

80,522<br />

136,710<br />

Boundary layer<br />

cells<br />

z0 = 0.03868 mm<br />

(y+ = 50)<br />

8 layers<br />

z0 = 0.03868 mm<br />

(y+ = 50)<br />

8 layers<br />

z0 = 0.03868 mm<br />

(y+ = 50)<br />

8 layers<br />

z0 = 0.03868 mm<br />

(y+ = 50)<br />

8 layers<br />

8<br />

8<br />

8<br />

8<br />

Aircraft Company<br />

No. of cell<br />

layers across<br />

wing t.e.<br />

9/26/06 Page 3


DPW - 3<br />

• Vgrid grid generator (Shahyar Pirzadeh et al; NASA Langley)<br />

– Unstructured tetrahedra, <strong>using</strong> advancing front method<br />

– Element size distribution controlled through field source distributions<br />

Aircraft Company<br />

9/26/06 Page 4


DPW - 3<br />

• USM3Dns flow solver (Neal Frink et al; NASA Langley)<br />

– Cell centered, unstructured tetrahedra<br />

– Implict time stepping<br />

– Spalart Allmaras turbulence model, with wall functions<br />

– Special boundary conditions on blunt wing trailing edges.<br />

Aircraft Company<br />

9/26/06 Page 5


DPW - 3<br />

• Computer Hardware<br />

RAC Beowulf Cluster<br />

Company<br />

Intranet<br />

User<br />

PC or<br />

Unix<br />

System<br />

Front End<br />

Node (xw4100)<br />

2GB RAM<br />

D510s<br />

48 Port Cisco<br />

10/100MB<br />

Network switch<br />

(Private Network)<br />

Aircraft Company<br />

NFS / Compute<br />

Node<br />

(Itanium<br />

64 bit)<br />

Beowulf Cluster<br />

(15 D510 compute nodes<br />

8 D530 compute nodes)<br />

System Each PC (Pentium 4 based) contains 1GB of RAM. Each node has a<br />

100MB network NIC.<br />

Schematic courtesy Everett Schultz, IT Dept., Ray<strong>the</strong>on Aircraft<br />

D530s<br />

9/26/06 Page 6


DPW - 3<br />

• <strong>DLR</strong>-<strong>F6</strong> + Wing Body<br />

Aircraft Company<br />

9/26/06 Page 7


DPW - 3<br />

• <strong>DLR</strong>-<strong>F6</strong> + Wing Body<br />

Medium Grid<br />

Tetrahedra = 6,483,682<br />

Triangles = 78,540<br />

Aircraft Company<br />

9/26/06 Page 8


DPW - 3<br />

• <strong>DLR</strong>-<strong>F6</strong> + Wing Body (Medium Grid)<br />

FS<br />

BL<br />

WL<br />

Original Code + Limiter Original Code; No Limiter<br />

BUB<br />

226.68<br />

-87.57<br />

-5.469<br />

EYE_B<br />

238.383<br />

-66.429<br />

-7.801<br />

EYE_W<br />

234.11<br />

-73.259<br />

-9.16<br />

FS<br />

BL<br />

WL<br />

BUB<br />

222.528<br />

-82.114<br />

-3.724<br />

EYE_B<br />

238.968<br />

-66.705<br />

-7.326<br />

Aircraft Company<br />

EYE_W<br />

235.125<br />

-72.295<br />

-9.677<br />

9/26/06 Page 9


DPW - 3<br />

• <strong>DLR</strong>-<strong>F6</strong> + Wing Body (Medium Grid)<br />

FS<br />

BL<br />

WL<br />

Original Code; No limiter<br />

BUB<br />

222.528<br />

-82.114<br />

-3.724<br />

EYE_B<br />

238.968<br />

-66.705<br />

-7.326<br />

EYE_W<br />

235.125<br />

-72.295<br />

-9.677<br />

FS<br />

BL<br />

WL<br />

Modified Code; No limiter<br />

BUB<br />

224.785<br />

-76.465<br />

-4.279<br />

EYE_B<br />

238.878<br />

-66.697<br />

-7.364<br />

Aircraft Company<br />

EYE_W<br />

236.891<br />

-70.147<br />

-10.665<br />

9/26/06 Page 10


DPW - 3<br />

• <strong>DLR</strong>-<strong>F6</strong> + Wing Body (Medium Grid)<br />

Cp<br />

<strong>DLR</strong>-<strong>F6</strong> + Wing Body<br />

AIAA <strong>Drag</strong> <strong>Prediction</strong> Workshop - 3 (June 3-4, 2006)<br />

Mach = 0.75, Re = 5 million, CL = 0.5, alpha = -0.118<br />

Pressure Coefficient (Cp) vs. x/c at various wing spanwise sations<br />

-1.4<br />

-1.2<br />

-1.0<br />

-0.8<br />

-0.6<br />

-0.4<br />

-0.2<br />

-0.2 0.0 0.2 0.4 0.6 0.8 1.0 1.2<br />

0.0<br />

0.2<br />

0.4<br />

0.6<br />

0.8<br />

1.0<br />

1.2<br />

X/C<br />

Y = - 87.85 mm<br />

Y = -139.87 mm<br />

Y = -194.53 mm<br />

Y = -221.56 mm<br />

Y = -240.37 mm<br />

Y = -300.09 mm<br />

Y = -373.19 mm<br />

Y = -496.02 mm<br />

Aircraft Company<br />

Original Code<br />

+<br />

Limiter<br />

9/26/06 Page 11


DPW - 3<br />

• <strong>DLR</strong>-<strong>F6</strong> + Wing Body (Medium Grid)<br />

Cp<br />

<strong>DLR</strong>-<strong>F6</strong> + Wing Body<br />

AIAA <strong>Drag</strong> <strong>Prediction</strong> Workshop - 3 (June 3-4, 2006)<br />

Mach = 0.75, Re = 5 million, CL = 0.5, alpha = -0.101313<br />

Pressure Coefficient (Cp) vs. x/c at various wing spanwise sations<br />

-1.4<br />

-1.2<br />

-1.0<br />

-0.8<br />

-0.6<br />

-0.4<br />

-0.2<br />

-0.2<br />

0.0 0.2 0.4 0.6 0.8 1.0 1.2<br />

0.0<br />

0.2<br />

0.4<br />

0.6<br />

0.8<br />

1.0<br />

1.2<br />

X/C<br />

Y = - 87.85 mm<br />

Y = -139.87 mm<br />

Y = -194.53 mm<br />

Y = -221.56 mm<br />

Y = -240.37 mm<br />

Y = -300.09 mm<br />

Y = -373.19 mm<br />

Y = -496.02 mm<br />

Aircraft Company<br />

Modified Code<br />

No Limiter<br />

9/26/06 Page 12


DPW - 3<br />

• <strong>DLR</strong>-<strong>F6</strong> + Wing Body (Medium Grid)<br />

Cp<br />

-1.4<br />

-1.2<br />

-1.0<br />

-0.8<br />

-0.6<br />

-0.4<br />

<strong>DLR</strong>-<strong>F6</strong> + Wing Body<br />

AIAA <strong>Drag</strong> <strong>Prediction</strong> Workshop - 3 (June 3-4, 2006)<br />

Mach = 0.75, Re = 5 million, CL = 0.5<br />

Pressure Coefficient (Cp) vs. x/c at Y = -194.53<br />

-0.2<br />

-0.2 0.0 0.2 0.4 0.6 0.8 1.0 1.2<br />

0.0<br />

0.2<br />

0.4<br />

0.6<br />

0.8<br />

1.0<br />

X/C<br />

Y = -194.53 ; Mod; alpha = -0.1013<br />

Y = -194.53; Org; alpha = +0.0136<br />

"Y = -194.53; Org + Limiter; alpha = -0.11838"<br />

Aircraft Company<br />

Comparisons of<br />

Code Variants<br />

9/26/06 Page 13


DPW - 3<br />

• <strong>DLR</strong>-<strong>F6</strong> + Wing Body (Medium Grid)<br />

CD (Total)<br />

0.0295<br />

0.0290<br />

0.0285<br />

0.0280<br />

0.0275<br />

0.0270<br />

0.0265<br />

0.0260<br />

0.0255<br />

DPW-3<br />

<strong>DLR</strong>-<strong>F6</strong> + Wing Body<br />

Mach = 0.75, CL = 0.5, Re = 5.0 e6,<br />

CD (Total) vs. Ncells^(-2/3)<br />

0.0250<br />

0.0E+00 1.0E-05 2.0E-05 3.0E-05 4.0E-05 5.0E-05<br />

Ncells^(-2/3)<br />

Comparisons of Code Variants<br />

• “Modified” Version is preferred to “Original”<br />

• Limiter is not preferred<br />

Modif (4000)<br />

Original (4000)<br />

Original + Limiter<br />

Alpha<br />

0.04<br />

0.02<br />

-0.04<br />

-0.06<br />

-0.08<br />

-0.10<br />

-0.12<br />

-0.14<br />

-0.16<br />

DPW-3<br />

<strong>DLR</strong>-<strong>F6</strong> + Wing Body<br />

Mach = 0.75, CL = 0.5, Re = 5.0 e6,<br />

Alpha vs. Ncells^(-2/3)<br />

Aircraft Company<br />

0.00<br />

Original + Limiter<br />

0.0E+00<br />

-0.02<br />

1.0E-05 2.0E-05 3.0E-05 4.0E-05 5.0E-05<br />

Ncells^(-2/3)<br />

Modif (4000)<br />

Original (4000)<br />

9/26/06 Page 14


DPW - 3<br />

• <strong>DLR</strong>-<strong>F6</strong> + Wing Body (Medium Grid)<br />

Comparisons of Code Variants<br />

• “Modified” Version is preferred to “Original”<br />

• Limiter is not preferred<br />

CM (Total)<br />

-0.1100<br />

-0.1150<br />

-0.1200<br />

-0.1250<br />

-0.1300<br />

-0.1350<br />

-0.1400<br />

-0.1450<br />

-0.1500<br />

DPW-3<br />

<strong>DLR</strong>-<strong>F6</strong> + Wing Body<br />

Mach = 0.75, CL = 0.5, Re = 5.0 e6,<br />

CM (Total) vs. Ncells^(-2/3)<br />

-0.1000<br />

0.0E+00<br />

-0.1050<br />

2.0E+06 4.0E+06 6.0E+06 8.0E+06 1.0E+07 1.2E+07<br />

Ncells^(-2/3)<br />

Modif (4000)<br />

Original (4000)<br />

Original + Limiter<br />

Aircraft Company<br />

9/26/06 Page 15


DPW - 3<br />

• <strong>DLR</strong>-<strong>F6</strong> + Wing Body + FX2B Fairing<br />

Coarse<br />

Tets = 3,142,285<br />

Triangles = 59,660<br />

Medium<br />

Tets = 6,284,018<br />

Triangles = 80,522<br />

Aircraft Company<br />

Fine<br />

Tets = 11,521,175<br />

Triangles = 136,710<br />

9/26/06 Page 16


DPW - 3<br />

• <strong>DLR</strong>-<strong>F6</strong> + Wing Body + FX2B Fairing<br />

Coarse<br />

Tets = 3,142,285<br />

Triangles = 59,660<br />

Aircraft Company<br />

9/26/06 Page 17


DPW - 3<br />

• <strong>DLR</strong>-<strong>F6</strong> + Wing Body + FX2B Fairing<br />

Medium<br />

Tets = 6,284,018<br />

Triangles = 80,522<br />

Aircraft Company<br />

9/26/06 Page 18


DPW - 3<br />

• <strong>DLR</strong>-<strong>F6</strong> + Wing Body + FX2B Fairing<br />

Fine<br />

Tets = 11,521,175<br />

Triangles = 136,710<br />

Aircraft Company<br />

9/26/06 Page 19


DPW - 3<br />

• <strong>DLR</strong>-<strong>F6</strong> + Wing Body + FX2B Fairing<br />

Coarse<br />

Tets = 3,142,285<br />

Triangles = 59,660<br />

Medium<br />

Tets = 6,284,018<br />

Triangles = 80,522<br />

Aircraft Company<br />

Fine<br />

Tets = 11,521,175<br />

Triangles = 136,710<br />

9/26/06 Page 20


DPW - 3<br />

• <strong>DLR</strong>-<strong>F6</strong> + Wing Body + FX2B Fairing<br />

Coarse<br />

Tets = 3,142,285<br />

Triangles = 59,660<br />

Aircraft Company<br />

9/26/06 Page 21


DPW - 3<br />

• <strong>DLR</strong>-<strong>F6</strong> + Wing Body + FX2B Fairing<br />

Medium<br />

Tets = 6,284,018<br />

Triangles = 80,522<br />

Aircraft Company<br />

9/26/06 Page 22


DPW - 3<br />

• <strong>DLR</strong>-<strong>F6</strong> + Wing Body + FX2B Fairing<br />

Fine<br />

Tets = 11,521,175<br />

Triangles = 136,710<br />

Aircraft Company<br />

9/26/06 Page 23


DPW - 3<br />

• <strong>DLR</strong>-<strong>F6</strong> + Wing Body + FX2B (Coarse Grid)<br />

Cp<br />

<strong>DLR</strong>-<strong>F6</strong> + Wing Body + FX2B Fairing<br />

AIAA <strong>Drag</strong> <strong>Prediction</strong> Workshop - 3 (June 3-4, 2006)<br />

Mach = 0.75, Re = 5 million, CL = 0.5, alpha = +0.06752<br />

Pressure Coefficient (Cp) vs. x/c at various wing spanwise sations<br />

-1.4<br />

-1.2<br />

-1.0<br />

-0.8<br />

-0.6<br />

-0.4<br />

-0.2<br />

-0.2 0.0 0.2 0.4 0.6 0.8 1.0 1.2<br />

0.0<br />

0.2<br />

0.4<br />

0.6<br />

0.8<br />

1.0<br />

1.2<br />

X/C<br />

Y = - 87.85 mm<br />

Y = -139.87 mm<br />

Y = -194.53 mm<br />

Y = -221.56 mm<br />

Y = -240.37 mm<br />

Y = -300.09 mm<br />

Y = -373.19 mm<br />

Y = -496.02 mm<br />

Aircraft Company<br />

Wing Pressures<br />

Coarse = 3,142,285 cells<br />

9/26/06 Page 24


DPW - 3<br />

• <strong>DLR</strong>-<strong>F6</strong> + Wing Body + FX2B (Medium Grid)<br />

Cp<br />

<strong>DLR</strong>-<strong>F6</strong> + Wing Body + FX2B Fairing<br />

AIAA <strong>Drag</strong> <strong>Prediction</strong> Workshop - 3 (June 3-4, 2006)<br />

Mach = 0.75, Re = 5 million, CL = 0.5, alpha = +0.08757<br />

Pressure Coefficient (Cp) vs. x/c at various wing spanwise sations<br />

-1.4<br />

-1.2<br />

-1.0<br />

-0.8<br />

-0.6<br />

-0.4<br />

-0.2<br />

-0.2 0.0 0.2 0.4 0.6 0.8 1.0 1.2<br />

0.0<br />

0.2<br />

0.4<br />

0.6<br />

0.8<br />

1.0<br />

1.2<br />

X/C<br />

Y = - 87.85 mm<br />

Y = -139.87 mm<br />

Y = -194.53 mm<br />

Y = -221.56 mm<br />

Y = -240.37 mm<br />

Y = -300.09 mm<br />

Y = -373.19 mm<br />

Y = -496.02 mm<br />

Aircraft Company<br />

Wing Pressures<br />

Medium = 6,284,018 cells<br />

9/26/06 Page 25


DPW - 3<br />

• <strong>DLR</strong>-<strong>F6</strong> + Wing Body + FX2B (Fine Grid)<br />

Cp<br />

<strong>DLR</strong>-<strong>F6</strong> + Wing Body + FX2B Fairing<br />

AIAA <strong>Drag</strong> <strong>Prediction</strong> Workshop - 3 (June 3-4, 2006)<br />

Mach = 0.75, Re = 5 million, CL = 0.5, alpha = +0.06752<br />

Pressure Coefficient (Cp) vs. x/c at various wing spanwise sations<br />

-1.4<br />

-1.2<br />

-1.0<br />

-0.8<br />

-0.6<br />

-0.4<br />

-0.2<br />

-0.2 0.0 0.2 0.4 0.6 0.8 1.0 1.2<br />

0.0<br />

0.2<br />

0.4<br />

0.6<br />

0.8<br />

1.0<br />

1.2<br />

X/C<br />

Y = - 87.85 mm<br />

Y = -139.87 mm<br />

Y = -194.53 mm<br />

Y = -221.56 mm<br />

Y = -240.37 mm<br />

Y = -300.09 mm<br />

Y = -373.19 mm<br />

Y = -496.02 mm<br />

Aircraft Company<br />

Wing Pressures<br />

Fine = 11,521,175 cells<br />

9/26/06 Page 26


DPW - 3<br />

• <strong>DLR</strong>-<strong>F6</strong> + Wing Body + FX2B<br />

Cp<br />

<strong>DLR</strong>-<strong>F6</strong> + Wing Body + FX2B Fairing<br />

AIAA <strong>Drag</strong> <strong>Prediction</strong> Workshop - 3 (June 3-4, 2006)<br />

Mach = 0.75, Re = 5 million, CL = 0.5<br />

Pressure Coefficient (Cp) vs. x/c at various wing spanwise sations<br />

-1.4<br />

-1.2<br />

-1.0<br />

-0.8<br />

-0.6<br />

-0.4<br />

-0.2<br />

-0.2 0.0 0.2 0.4 0.6 0.8 1.0 1.2<br />

0.0<br />

0.2<br />

0.4<br />

0.6<br />

0.8<br />

1.0<br />

1.2<br />

X/C<br />

Y = -87.85 ; Fine Grid<br />

Y = -194.53 ; Fine Grid<br />

Y = -87.85; Medium Grid<br />

Y = -87.85; Coarse Grid<br />

Y = -194.53; Medium Grid<br />

Y = -194.53; Coarse Grid<br />

Aircraft Company<br />

Grid Convergence<br />

Coarse = 3,142,285 cells<br />

Medium = 6,284,018 cells<br />

Fine = 11,521,175 cells<br />

9/26/06 Page 27


DPW - 3<br />

• <strong>DLR</strong>-<strong>F6</strong> + Wing Body + FX2B<br />

CD (Total)<br />

0.0295<br />

0.0290<br />

0.0285<br />

0.0280<br />

0.0275<br />

0.0270<br />

0.0265<br />

0.0260<br />

0.0255<br />

Comparisons of Code Variants & Grid Convergence<br />

- “Modified” version is preferred to “Original”<br />

- Limiter is not preferred<br />

DPW-3<br />

<strong>DLR</strong>-<strong>F6</strong> + Wing Body + FX2B<br />

Mach = 0.75, CL = 0.5, Re = 5.0 e6,<br />

CD (Total) vs. Ncells^(-2/3)<br />

0.0250<br />

0.0E+00 1.0E-05 2.0E-05 3.0E-05 4.0E-05 5.0E-05<br />

Ncells^(-2/3)<br />

Modif (4000)<br />

Original (4000)<br />

Original + Limiter<br />

ΔCD (No Fairing – FX2B); Medium Grid = 1.06 counts<br />

Alpha<br />

0.20<br />

0.18<br />

0.16<br />

0.14<br />

0.12<br />

0.10<br />

0.08<br />

0.06<br />

0.04<br />

0.02<br />

Modif (4000)<br />

Original (4000)<br />

Original + Limiter<br />

DPW-3<br />

<strong>DLR</strong>-<strong>F6</strong> + Wing Body + FX2B<br />

Mach = 0.75, CL = 0.5, Re = 5.0 e6,<br />

Alpha vs. Ncells^(-2/3)<br />

Aircraft Company<br />

0.00<br />

0.0E+00 1.0E-05 2.0E-05 3.0E-05 4.0E-05 5.0E-05<br />

Ncells^(-2/3)<br />

9/26/06 Page 28


DPW - 3<br />

• <strong>DLR</strong>-<strong>F6</strong> + Wing Body + FX2B<br />

Comparisons of Code Variants & Grid Convergence<br />

- “Modified” version is preferred to “Original”<br />

- Limiter is not preferred<br />

CM (Total)<br />

-0.110<br />

-0.115<br />

-0.120<br />

-0.125<br />

-0.130<br />

-0.135<br />

-0.140<br />

-0.145<br />

-0.150<br />

DPW-3<br />

<strong>DLR</strong>-<strong>F6</strong> + Wing Body + FX2B<br />

Mach = 0.75, CL = 0.5, Re = 5.0 e6,<br />

CM (Total) vs. Ncells^(-2/3)<br />

-0.100<br />

0.0E+00<br />

-0.105<br />

1.0E-05 2.0E-05 3.0E-05 4.0E-05 5.0E-05<br />

Ncells^(-2/3)<br />

Modif (4000)<br />

Original (4000)<br />

Original + Limiter<br />

Aircraft Company<br />

9/26/06 Page 29


DPW - 3<br />

• Lift & Moment curves, <strong>Drag</strong> Polars (with & without FX2B Fairing)<br />

CL (Total)<br />

CM<br />

DPW-3: <strong>DLR</strong>-<strong>F6</strong> + Wing Body + (FX2B Fairing)<br />

Sref = 0.1454 m2, cref = 141.2 mm, bref/2 = 585.647 mm<br />

Medium Grid : Tets = 6,284,018; Surface Triangles = 80,522<br />

Minf = 0.75, Re = 5x10e6<br />

CL vs. Alpha<br />

0.80<br />

0.00<br />

-4.0 -3.0 -2.0 -1.0 0.0 1.0 2.0<br />

-0.160<br />

-0.156<br />

-0.152<br />

-0.148<br />

-0.144<br />

-0.140<br />

-0.136<br />

-0.132<br />

-0.128<br />

CL (Total)<br />

CL (Total) : No Fairing<br />

Alpha (deg)<br />

0.70<br />

0.60<br />

0.50<br />

0.40<br />

0.30<br />

0.20<br />

0.10<br />

DPW-3: <strong>DLR</strong>-<strong>F6</strong> + Wing Body + (FX2B Fairing)<br />

Sref = 0.1454 m2, cref = 141.2 mm, bref/2 = 585.647 mm<br />

Medium Grid : Tets = 6,284,018; Surface Triangles = 80,522<br />

Xref = 157.9 mm, Yref 0.0 mm, Zref = -33.92 mm<br />

Minf = 0.75, Re = 5x10e6<br />

CM vs. CL<br />

-0.124<br />

0.00 0.10 0.20 0.30 0.40 0.50 0.60 0.70 0.80<br />

-0.120<br />

CL (Total)<br />

CM (Total)<br />

CM (Pressure)<br />

CM (Total) : No Fairing<br />

CD<br />

– Slight +ve Alpha shift with FX2B added<br />

– No noticeable change in <strong>Drag</strong> Polar<br />

– Noticeable decrease in pitch down<br />

moment with FX2B added<br />

0.0440<br />

0.0400<br />

0.0360<br />

0.0320<br />

0.0280<br />

0.0240<br />

0.0200<br />

0.0160<br />

0.0120<br />

0.0080<br />

0.0040<br />

DPW-3: <strong>DLR</strong>-<strong>F6</strong> + Wing Body + (FX2B Fairing)<br />

Sref = 0.1454 m2, cref = 141.2 mm, bref/2 = 585.647 mm<br />

Medium Grid : Tets = 6,284,018; Surface Triangles = 80,522<br />

CD (Total)<br />

Minf = 0.75, Re = 5x10e6<br />

CD vs. CL<br />

CD (Pressure)<br />

CD (Skin Friction)<br />

CD (Total) : No Fairing<br />

0.0000<br />

0.00 0.10 0.20 0.30 0.40 0.50 0.60 0.70 0.80<br />

CL (Total)<br />

Aircraft Company<br />

9/26/06 Page 30


DPW - 3<br />

• Conclusions<br />

– Bubble detected <strong>for</strong> <strong>DLR</strong>-<strong>F6</strong> + Wing Body<br />

– No Bubble detected <strong>for</strong> <strong>DLR</strong>-<strong>F6</strong> + Wing Body + FX2B<br />

– Wing trailing edge separation detected with or without FX2B<br />

– <strong>Drag</strong> reduction: ΔCD (No Fairing – FX2B); Medium Grid = 1.06 counts<br />

– Results obtained under Industrial Conditions!<br />

Aircraft Company<br />

9/26/06 Page 31


DPW - 3<br />

Aircraft Company<br />

• Fur<strong>the</strong>r work<br />

– Solution adaptive grid refinement <strong>using</strong> RefineMesh (NASA Langley)<br />

� Uses unique hole creation algorithm (Pirzadeh)<br />

� Generates high quality multilevel grid refinement <strong>for</strong> unstructured tetrahedra<br />

� Smooth transition between refinement levels<br />

� Improved estimation of wave drag<br />

� Useful in production environment, to reduce grid size & computation time<br />

– Plot Skin Friction Coefficients<br />

9/26/06 Page 32


DPW - 3<br />

•Thanks <strong>for</strong> your attention<br />

Aircraft Company<br />

9/26/06 Page 33

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