• 1 AMU_-2001-1004 PREDICTION OF BUSINESS JET AIRLOADS USING THE OVERFLOW NAVIER-STOKES CODE Elias Bounajem" Cessna AircraftCompany, Wichita, Kansas 67215 and Pieter G. Buning" NASA Langley Research Center, Hampton, Virginia 23681 Abstract regular basis to support design efforts in such areas as aircraft design, propulsion The objective of this work is to evaluate the system design and integration, combustion, application of Navier-Stokes computational ship design and the automotive industry, to fluid dynamics technology, for the purpose of name afew. predicting off-design condition airloads on a business jet configuration inthe transonic The aircraft industry is a primary customer of regime. The NASA Navier-Stokes flow CFD technology. Depending onthe task at solver OVERFLOW with Chimera overset hand, the aircraft designer has awide range grid capability, availability of several of sophistication to chose from. This range numerical schemes and convergence includes: full modeling of viscous effects as acceleration techniques was selected for this available in Navier-Stokes type codes; Euler work. A set of scripts which have been codes, transonic small disturbances and full compiled to reduce the time required for the potential codes when viscous effects are not grid generation process are described. of primary influence; and finally, linearized Several turbulence models are evaluated in potential flow codes for shock free flows or the presence of separated flow regions on when only an approximate answer is being the wing. Computed results are compared to sought. These codes are implemented with available wind tunnel data for two Mach different types of grids: multiblock, patched numbers and a range of angles-of-attack. or overset grids if astructured grid approach Comparisons of wing surface pressure from isconsidered, Cartesian and unstructured numerical simulation and wind tunnel grids for unstructured methods. The measurements show good agreement upto literature is rich with publications identifying fairly high angles-of-attack. the pros and cons of each of these methods. Introduction The bulk of CFD work inthe aircraft design arena has been inthe cruise flight regime. Under these conditions, the airflow is still Computational Fluid Dynamics (CFD) attached to the surface withsmall regions of technology has seen remarkable advances separated flow, and CFD calculations are known to be quite reliable inpredicting *Member, AIAA "*Associate Fellow, AIAA. aircraft performance characteristics. Copyright ©2001 bythe American InstituteofAeronautics and Astronautics, Inc. All rights reserved. inthe last few years. CFD is used today on a Areas which have not received as much attention are those that deviate from the 1 American Institute ofAeronautics and Astronautics AIAA-2001-1004 cruise condition. These situations are components. Five components were encountered when the entire flight envelope identified: wing, fuselage, pylon, nacelle and of the airplane is of interest. Here, wing-body fairing. For the wing, pylon, and combinations of angle-of-attack, Mach and nacelle, the CATIA CAD model was Reynolds number can bechallenging for any imported in IGES format into the NASA CFD code. High angle-of-attack will cause Langley GridTool software [2], where a the flow to separate. As the high subsonic surface grid was generated. The fuselage regime is approached, the flow will have surface grid was generated directly in CATIA numerous shock waves on the wing, pylon, to improve surface grid quality resulting from etc. The interaction of shock waves with the projection onto the original geometry. As for boundary layer complicates flow patterns the wing-body fairing (Figure 2), it was and makes CFD prediction significantly more deemed appropriate to represent it with a difficult. With the presence of large combination of collar grids and therefore no separated flow regions, the focus shifts more computational surface grid was generated and more towards turbulence modeling. for this component. Here, the validity of the model's underlying assumptions becomes critical to the quality Collar Grids of the solution the CFD code can provide. The next step inthe process is to make use The present work aims at evaluating the of the collar grid approach [3] inthe overlap applicability of Navier-Stokes CFD region between the various components. technology to predict off-design airloads on a This approach is used to ensure good quality business jet configuration. OVERFLOW grids inthese areas, to allow for inter-grid [1,10], aNASA research flow solver which communication through interpolation and to uses the Chimera overset grid approach,. capture the viscous effects inthe juncture all has been selected for this evaluation. inthe same grid. Collar grids are generated OVERFLOW offers awide array of by identifying the intersection curve between numerical schemes and turbulence models, components and growing a grid onto the and has been accepted throughout the adjacent components. aircraft industry as one of the leading Navier- Stokes codes available. Collar grids were generated at the pylon- nacelle and pylon-fuselage junctures. For Grid Generation the wing-body fairing, acollar grid was generated at the fuselage-fairing intersection The overset grid approach has the and at the wing-fairing intersection. Athird advantage ofallowing grid generation of grid originating at the model centerline aircraft components separately, thus covered the remainder of the fairing. providing gridsthat conformtothe component topology. Through a holecutting The NASA Ames Chimera Grid Tools (CGT) procedure andboundarypoint interpolation, software package [4] was used to generate excess overlap between component grids is the collar grids, to add wakes to the wing blanked out. and pylon grids, and to add awing tip cap grid [14]. Another cap grid was required for The geometry modeled here isa business the pylon shelf, which extended beyond the jet configuration with aft fuselage mounted nacelle exhaust plane. To increase pylon/nacelles. Figure 1shows the different communication with the nacelle grid, the surface grids that make up the current pylon cap grid was extended upstream and model. Inall fifteen grids, including the outer projected onto the nacelle surface (Figure box grids, were needed to define the 3). geometry. Volume Grids Surface Grids From the body-fitted surface grids, volume grids were generated with HYPGEN [5-6]. The first step inthe grid generation process The initial spacing off the surface is equal to isto generate surface grids for the various 0.00035 inches, which corresponds to ay÷ 2 American Institute ofAeronautics and Astronautics AIAA-2001-1004 value of 1at 10 percent chord from the wing create collar surface grids, shown in Figure leading edge. 2. Second, volume grids are generated with HYPGEN. Finally, CGT utilities are used to Communication between the component grid add reflected symmetry planes and smooth outer boundaries, and extension of the the wake region of the wing-fairing collar. computational domain to the far field is accomplished with two levels of Cartesian Flow Solver box grids, following an approach used for other geometries [7-8]. The OVERFLOW Navier-Stokes flow solver is used in this analysis. This code uses an Grid Communication implicit approximate factorization algorithm to solve the thin-layer formulation ofthe The PEGSUS 4.0 code [9], developed by Navier-Stokes equations. For these CALSPAN at AEDC, is used to remove calculations, central differencing with excess overlap between grids and find second- and fourth-order artificial dissipation interpolation stencils for inter-grid boundary is used for the Euler terms. Trial runs with points. This process effectively connects all Roe's upwind differencing scheme did not of the overset component and box grids into show improvement over central differencing. one system. Local time stepping, grid sequencing, and multigrid are used to accelerate Scriptin.q the Process convergence [10]. Itis recognized that this grid generation While steady-state acceleration techniques process is iterative. Several attempts may be were used for these simulations, the mid- made to ensure that the surface is range and high angle-of-attack cases were adequately represented and that the number largely separated. Total liftcoefficient varied of orphan points, grid points with no by 0.02 from a mean value in some cases. adequate interpolation stencil, is minimized. Itis recognized that a more thorough Also, during development phase, the analysis of the unsteady aspect of these configuration isconstantly changing as more flowfields is needed; however, for the refinements are introduced. With this in airloads analysis process only averaged mind, aset of scripts that performs the tasks steady loads are desired. highlighted above is highly desirable. This allows for making changes to the various Processinq Requirements components and then regenerating the entire grid system with a minimum amount of The grid system for this configuration has a user input. total of 3.9 million points. Solutions were generated on an SGI Origin 200 with four The present work uses amodified set of processors and 1.8 GB of memory. Each scripts, originally developed for ageneric case required about 260 MB of memory and business jet configuration. These scripts 30 hours to converge on asingle processor, encompass surface grid generation and except for higher angles-of-attack. These refinements, volume grid generation, hole were processed further to get the solution cutting and interpolation stencil identification. stabilized within acertain band. An example illustrating the script approach is the generation of the wing-body fairing collar Results and Discussion grids. As shown in Figure 4, this process starts with wing and fuselage surface grids, Atotal of six flow conditions are examined in the fairing definition inthe form of reference the current study. These consist of a series grids (created in GridTool from the IGES of three angles-of-attack (low, mid-range CAD definition), and grid lines representing and high) at two transonic Mach numbers the intersection of the fairing with each of the above cruise. For each flow condition, fuselage, wing, and symmetry plane. results were obtained using the Baldwin- Barth [11]and Spalart-AIImaras [12] one- The first step uses the SURGRD surface equation turbulence models, and the k- grid generation code [15] from CGT to omega two-equation turbulence model [13]. 3 American Institute of Aeronautics and Astronautics AIAA-2001-1004 Attempts to use the Menter SST model [16] the trailing edge. Results for intermediate were unsuccessful due to wing root grid stations (not shown here) indicate that this issues. Surface pressure coefficients onthe pattern disappears ashort distance outboard wing are presented at two stations, one of this station. This could bea result of inboard and one outboard. The Reynolds solution convergence difficulty at these number matches that at which the extreme conditions. Further investigation of experimental data was collected inthe wind this issue is required. Although the k-omega tunnel. model continues to predict a shock location too far aftas inthe previous cases, the post- Atlowangle-of-attack, where the flow shock pressure levels match wind tunnel remains attached to the surface, solutions results. The lower surface predictions for all using the Baldwin-Barth model show surface models remain good. pressures invery good agreement with wind tunnel data (Figure 5), with shock location Support for the aerodynamic loads process and strength well predicted. Spalart-AIImaras is provided by supplying design loads for results are similar. The k-omega model various components of the aircraft such as predicts ashock location significantly aft of the fuselage, nacelle, pylon, etc. This is the one-equation models. This behavior is done by providing total component load similar to that shown in Reference 13for (e.g., pylon normal force coefficient), or by transonic flow over the RAE 2822 airfoil. providing arunning load. For the mid-range angle-of-attack (Figure 6), Here, running loads are computed from the Baldwin-Barth results show shock location CFD solution by dividing the body into a and strength are well predicted onthe upper number of segments and integrating the surface inboard station for both Mach pressure to obtain either aforce ora numbers and on the lower surface for the moment coefficient inthese segments. Data higher Mach number case. The upper can bepresented either as acumulative total surface outboard station pressure starting from aspecific point, or separately comparison shows that the shock position is for each of the segments, as in Figure 8 for about 5percent chord aft of that measured the fuselage. Individual component loads inthe wind tunnel. Here the flow separates can also be used to determine the fraction of behind the shock. For the most part the the aircraft total load that is being carried by lower surface predictions are good. Toward aparticular component (Figure 9). the trailing edge, the calculated pressure coefficient shows significant unsteadiness, Ifaccurate, CFD solutions are invaluable for varying with where the solution is stopped. the aerodynamic loads process because This is more noticeable inthe high Mach they provide distributed surface pressures number case. This behavior is not present in which can be analyzed component-by- the Spalart-AIImaras results, where the flow component. These supplement wind tunnel is better behaved at the trailing edge. The data from extensive pressure taps or predictions on the upper surface of the component balances, both expensive inboard station are slightly better than experimental techniques. Baldwin-Barth. Again, the k-omega model predicts the shock location aft of the other Conclusion models. A Navier-Stokes flow solver, OVERFLOW, In the high angle-of-attack case (Figure 7), has been successfully used for the where aconsiderable amount of separation prediction of aerodynamic loads on a is present, the upper surface rooftop and business jet configuration. Three turbulence shock location predicted by both one- models were evaluated at above-cruise equation models are fairly good. However, Mach numbers and low to high angles-of- pressures aft of the shock at the inboard attack. Overall, results show the Baldwin- station do not match the trends ofthe wind Barth and Spalart-AIImaras models providing tunnel data. A lower pressure atthe upper the closest match to experimental results. surface trailing edge leads to an acceleration The k-omega turbulence model predicts the of the flow on the lower surface approaching shock location and flow separation farther aft 4 American Institute of Aeronautics and Astronautics AIAA-2001-1004 than the one-equation models. Further 8. R.L. Meakin, "Moving Body Overset Grid investigation of isolated flow patterns at the Methods for Complete Aircraft Tiltrotor middle and high angle-of-attack cases is Simulations," AIAA-93-3350, July 1993. needed. 9. N.E. Suhs and R.W. Tramel, "PEGSUS 4.0 User's Manual," AEDC-TR-91-8, Arnold References Engineering Development Center, Arnold AFB, TN, Nov. 1991. 1. P.G. Buning, et al., "OVERFLOW User's Manual, Version 1.8," NASA Langley 10. D.C. Jespersen, T.H. Pulliam, and P.G. Research Center, Hampton, VA, Feb. 1998. Buning, "Recent Enhancements to OVERFLOW," AIAA 97-0644, Jan. 1997. 2. J.Samareh-Abolhassani, "GridTool: A Surface Modeling and Grid Generation 11. B.S. Baldwin and T.J. Barth, "A One- Tool," NASA CP-3291, 1995. Equation Turbulence Transport Model for High Reynolds Number Wall-Bounded 3. S.J. Parks, P.G. Buning, J.L. Steger, and Flows," AIAA 91-0610, Jan. 1991. W.M. Chan, "Collar Grids for Intersecting Geometric Components Within the Chimera 12. P.R. Spalart and S.R. AIImaras, "A One- Overlapped Grid Scheme," AIAA 91-1587, Equation Turbulence Model for Aerodynamic June 1991. Flows," La Recherche Aerospatiale, No. 1, 1994, pp. 5-21. 4.W.M. Chan, "Manual for Chimera Grid Tools," NASA Ames Research Center, 13.J.E. Bardina, P.G. Huang, and T.J. Moffett Field, CA, Oct. 1998. Coakley, 'q'urbulence Model Validation, Testing, and Development," NASA TM 5.W.M. Chart and J.L. Steger, 110446, April 1997. "Enhancements of aThree-Dimensional Hyperbolic Grid Generation Scheme," Appl. 14. S.E. Rogers, H.V. Cao, and T.Y. Su, Math. and Comput., Vol. 51, pp. 181-205, "Grid Generation For Complex High-Lift 1992. Configurations," AIAA 98-3011, June 1998. 6.W.M. Chan, I.-T. Chiu, and P.G. Buning, 15.W.M. Chan and P.G. Buning, "Surface "User's Manual for the HYPGEN Hyperbolic Grid Generation Methods for Overset Grids," Grid Generator and HGUI Graphical User Computers and Fluids, Vol. 24, No. 5, 1995, Interface," NASA TM 108791, Oct. 1993. pp. 509-522. 16. F.R. Menter, 'q-wo-Equation Eddy 7. D.G. Pearce, et al., "Development of a Viscosity Turbulence Models for Engineering Large-Scale Chimera Grid System for the Applications," AIAA J., Vol. 32, Nov. 1994, Space Shuttle Launch Vehicle," AIAA 93- pp. 1299-1310. 0533, Jan. 1993. 5 American Institute ofAeronautics and Astronautics AIAA-2001-1004 Figure 1: Tail-Off Chimera Grid Model of a Business Jet Figure 2: Wing-Body Fairing Collar Grids 6 American Institute of Aeronautics and Astronautics AIAA-2001-1004 Figure 3: Pylon Shelf Cap Grid Z........... Figure 4: Winci-Bodv Fairin_qGrid Generation Process Input (from CATIA, GridTool): Surface .qrids(from SURGRD): Fuselage grid Fuselage-fairing collar Wing grid Wing-fairing collar -----b Fairing definition Fairing-symmetry collar Fairing intersection curves / Volume .qrids(from HYPGEN): Final .qrids(from CGT utilities): Fuselage-fairing collar Fuse-fairing (with symmetry planes) Wing-fairing collar Wing-fairing (with smoothed wake) Fairing-symmetry collar Fairing-symmetry (with symmetry planes) 7 American Institute of Aeronautics and Astronautics AIAA-2001-1004 Figure 5: Predicted vs. Measured Wing Pressure Coefficient: Low Angle-of-Attack MACH=0.75 Outboard Station MACH=0.79 Outboard Station ...!...........i..............i.......J..........i.......... i , 0 Cp ..............._........... _ _© Wind Tu !OW;undiTun_el ! ' trth::....... ......-:..:.............i..........._-B ddwin_Earth::....... -- ].............. [.......... _--B_tdw!n-B; i ! -i- Si_alad.AI maras - ---- S :)ala_t-AI Ima_as .....i............L.............._.+..i.°K...m.e,.g.a.. _ :; _-_+ k.,ome_ ga Inboard Station Inboard Station • ; , , , ....... :.............. :.............. 'r...... 4....... }.............. _....... 1 ! : i _---;. ............... i............ ": " _'-'- ' ...... Cp ! _._0 Wind ,:'l'----unr • !............ T........ -_ B_lcl_'n B;_.rth-!........ :.... _.............. _............ _- B_t_--Barth_ .......I : i -::- S_ala_-AI Im_ (_-_ • _ :: - -i- Rbalatt-- .A!Imatas__ ® _. i. _:._om_oa i , ' ; i _-_+ k_om_)ga ....... ;....... ....... ;.................................... ' Chordwise Chordwise Figure 6: Predicted vs. Measured Wing Pressure Coefficient: Mid-Range Angle-of-Attack MACH=0.75 Outboard Station MACH=0.79 Outboard Station : I i i i : ...-..i_....-..].,..._..<..-._i.._.. .....i............i..............i........ Ci ....i......?..___ Cp i-i--- "_ (z....-r_,_- o,,,,nT,un,e; * '- tOV_ _d'runrel i ...._ B ,ldwin-B'lrth-i,_ ....... _! .......'......._..........._B ddwin:E arthl....... _ _ -i- S )ala_-Allma_as- ....i...........L.............i.+.ki°m_ga......i[......... " !! i _+ k-ome_ga i Inboard Station Inboard Station : "\! . _. ! , : Cp __.......i.......... _"q, .......... __.O....W....in..d.. Ti.u..n..r.,.e..l.... ii....... ...... I.......i...... I--- _-B_Id_Lm=E arth":....... i 1 i I -!- SDala_rt-Allma(as_ ¢ _m__ga ................. ! i __+ kT_°m_ga : Chordwise Chordwise 8 American Institute of Aeronautics and Astronautics AIAA-2001-1004 Figure 7: Predicted vs. Measured Wing Pressure Coefficient: High Angle-of-Attack MACH=0.75 Outboard Station MACH=0.79 Outboard Station ....i.-.-.T i i : +--4-,, i i i Cp __eli " i.._4v_. -'[ ioHind Tear, el :: _ l i 1......i- Sbalaa-Al!maras- ...i.......... ii I il [_ _._+k_°me_ga i Inboard Station Inboard Station \! ; ; cp ' ' " i -.,_'_, i0 V_ind ,:Tunrlel i .......i......'---_-B _tclw)n=Earth{::....... (_" .......i..........._B£ddw,i_nlBA:h,r-tAhi!l.m_.q ....... y _"_ iOV_'ind Tunr,el i ! -i- £ :_ala_--AI i ,4'+ k--om,ega i Chordwise Chordwise Figure 8: Fuselage Normal Force Runninq Load 30 ! : ! O .J 20 t- t- t- tT" m 10 2 O LL E 0 t_ o Z _ -10 LL -2O 0 200 400 600 Fuselage Station (inch) 9 American Institute of Aeronautics and Astronautics AIAA-2001-1004 Figure 9: Aircraft Components, Percent of Total Load 100 i : i ! i o_ 80 c : i i ............. ;............. _............. :-............. _............. ;-............. t............. :-.......................... -............. c i i i _ O---OWing% O Q. E 60 , , , ' [3- =-_ F0sela _ % O o :: i . i ......... i......_..: ...::F..PY!o.n._.%. ....J........I.....................[................_..-.-_.:ace,,e: £ ....i....................i.............t...........................i.....................i.................................. o 40 I! E p z0 20 i : : i i i : i 0 A , Ant le of Atta "k 10 American Institute of Aeronautics and Astronautics