Numerical Investigation of a Slender Delta Wing in Combined Force-Pitch and Free-Roll
Numerical investigation of the characteristics of an 80°
delta wing in combined force-pitch and free-roll is presented. The
implicit, upwind, flux-difference splitting, finite volume scheme and
the second-order-accurate finite difference scheme are employed to
solve the flow governing equations and Euler rigid-body dynamics
equations, respectively. The characteristics of the delta wing in
combined free-roll and large amplitude force-pitch is obtained
numerically and shows a well agreement with experimental data
qualitatively. The motion in combined force-pitch and free-roll
significantly reduces the lift force and transverse stabilities of the delta
wing, which is closely related to the flying safety. Investigations on
sensitive factors indicate that the roll-axis moment of inertia and the
structural damping have great influence on the frequency and
amplitude, respectively. Moreover, the turbulence model is considered
as an influencing factor in the investigation.
[1] R.C. Nelson, A. Pelletier, "The unsteady aerodynamics of slender wings
and aircraft undergoing large amplitude maneuvers," Progress in
Aerospace Sciences, vol. 39, no.2-3, pp. 185-248. 2003.
[2] L.E. Nguyen, L.P. Yin, and J.R. Chambers, "Selfinduced wing rock of
slender delta wing," AIAA paper 81-1883, Aug. 1981.
[3] B.N. Pamadi, D.M. Rao, and T. Niranjana, "Wing rock and roll attractor
of delta wing at high angles of attack," AIAA paper 94-0807, 1994.
[4] Ericson, L., "Wing rock analysis of slender delta wings, review and
extension," AIAA paper 95-0317, Jan.1995.
[5] X.Z. Huang, and E.S. Hanff, "Non-linear rolling stability of a 65┬░ delta
wing model at high incidence," AIAA paper 99-4102, 1999.
[6] N.M. Chaderjian, and L.B. Schiff, "Navier-Stokes prediction of
large-amplitude forced and free-to-roll delta-wing oscillations," AIAA
paper 94-1884, 1994.
[7] O.A. Kandil, and M.A. Menzies, "Effective control of computationally
simulated wing rock in subsonic flow". AIAA paper 97-0831, 1997.
[8] W. Liu, H.X. Zhang, and H.Y. Zhao, "Numerical simulation and physical
characteristics analysis for slender wing rock," Journal of Aircraft, vol.43,
no.3, pp. 858-861. 2006.
[9] R.M. Hall, and S.H. Woodson, "Introduction to the abrupt wing stall
program," Journal of Aircraft, vol.41, no.3, pp. 425-435. 2004.
[10] R.M. Hall, "Introduction: Abrupt Wing Stall program, Part 2," Journal of
Aircraft, vol.42, no.3, pp. 577-577. 2005.
[11] R.M. Hall, S.H. Woodson, and J.R. Chambers, "Accomplishments of the
Abrupt-Wing-Stall program," Journal of Aircraft, vol.42, no.3, pp.
653-660. 2005.
[12] O.A. Kandil, and H.A. Kandil, "Pitching oscillation of a 65-degree delta
wing in transonic vortex-breakdown flow," AIAA paper 94-1426-CP,
1994.
[13] Y.A. Abdelhamid, and O.A. Kandil, "Effect of reduced frequency on
super maneuver delta wing," AIAA paper 98-0415, 1998.
[14] C. Jouannet, and P. Krus, "Lift coefficient predictions for delta wing
under pitching motions," AIAA paper 2002-2969, 2002.
[15] O.A. Kandil, and M.A. Menzies, "Coupled rolling and pitching oscillation
effects on transonic shock-induced vortex-breakdown flow of a delta
wing," AIAA paper 96-0828, 1996.
[16] H.J. Kowal, and A.D. Vakili, "An investigation of unsteady vortex flow
for a pitching-rolling 70-deg delta wing," AIAA paper98-0416, 1998.
[17] M.Z. Tang, W. Zhang, and H.L. He, "Experimental investigation on
unsteady flow field about a coupled pitching-rolling delta wing," Acta
Aerodynamica Sinica, vol. 19, no. 1, pp.47-55. 2001.
[18] M.J. Khan, and A. Ahmed, "Response of vortex breakdown induced wing
rock to pitching & plunging," AIAA paper 2004-4732, 2004.
[19] J.M. Elzebda, D.T. Mook, and A.H. Nayfeh, "Influence of pitching
motion on subsonic wing rock of slender delta wings," Journal of Aircraft,
vol. 26, no. 6, pp. 503-508. 1989.
[20] J. Er-El, D. Seter, and D. Weihs, "Nonlinear aerodynamics of a delta wing
in combined pitch and roll," Journal of Aircraft, vol. 26, no. 3, pp.
245-259. 1989.
[21] J. Blazek, COMPUTATIONAL FLUID DYNAMICS: PRINCIPLES AND
APPLICATIONS (Book style). First edition 2001, ELSEVIER SCIENCE
Ltd. 2001, pp. 16-18.
[22] Q. Shen, and H.X. Zhang, "A new upwind NND scheme for Euler
equations and its application to the supersonic flow," in Proceedings of
Asia Workshop on CFD, Sichuan, China, 1994.
[23] A. Jameson, "Time dependent calculations using multigrid with
application to unsteady flows past airfoils and wings," AIAA paper
91-1596, 1991.
[1] R.C. Nelson, A. Pelletier, "The unsteady aerodynamics of slender wings
and aircraft undergoing large amplitude maneuvers," Progress in
Aerospace Sciences, vol. 39, no.2-3, pp. 185-248. 2003.
[2] L.E. Nguyen, L.P. Yin, and J.R. Chambers, "Selfinduced wing rock of
slender delta wing," AIAA paper 81-1883, Aug. 1981.
[3] B.N. Pamadi, D.M. Rao, and T. Niranjana, "Wing rock and roll attractor
of delta wing at high angles of attack," AIAA paper 94-0807, 1994.
[4] Ericson, L., "Wing rock analysis of slender delta wings, review and
extension," AIAA paper 95-0317, Jan.1995.
[5] X.Z. Huang, and E.S. Hanff, "Non-linear rolling stability of a 65┬░ delta
wing model at high incidence," AIAA paper 99-4102, 1999.
[6] N.M. Chaderjian, and L.B. Schiff, "Navier-Stokes prediction of
large-amplitude forced and free-to-roll delta-wing oscillations," AIAA
paper 94-1884, 1994.
[7] O.A. Kandil, and M.A. Menzies, "Effective control of computationally
simulated wing rock in subsonic flow". AIAA paper 97-0831, 1997.
[8] W. Liu, H.X. Zhang, and H.Y. Zhao, "Numerical simulation and physical
characteristics analysis for slender wing rock," Journal of Aircraft, vol.43,
no.3, pp. 858-861. 2006.
[9] R.M. Hall, and S.H. Woodson, "Introduction to the abrupt wing stall
program," Journal of Aircraft, vol.41, no.3, pp. 425-435. 2004.
[10] R.M. Hall, "Introduction: Abrupt Wing Stall program, Part 2," Journal of
Aircraft, vol.42, no.3, pp. 577-577. 2005.
[11] R.M. Hall, S.H. Woodson, and J.R. Chambers, "Accomplishments of the
Abrupt-Wing-Stall program," Journal of Aircraft, vol.42, no.3, pp.
653-660. 2005.
[12] O.A. Kandil, and H.A. Kandil, "Pitching oscillation of a 65-degree delta
wing in transonic vortex-breakdown flow," AIAA paper 94-1426-CP,
1994.
[13] Y.A. Abdelhamid, and O.A. Kandil, "Effect of reduced frequency on
super maneuver delta wing," AIAA paper 98-0415, 1998.
[14] C. Jouannet, and P. Krus, "Lift coefficient predictions for delta wing
under pitching motions," AIAA paper 2002-2969, 2002.
[15] O.A. Kandil, and M.A. Menzies, "Coupled rolling and pitching oscillation
effects on transonic shock-induced vortex-breakdown flow of a delta
wing," AIAA paper 96-0828, 1996.
[16] H.J. Kowal, and A.D. Vakili, "An investigation of unsteady vortex flow
for a pitching-rolling 70-deg delta wing," AIAA paper98-0416, 1998.
[17] M.Z. Tang, W. Zhang, and H.L. He, "Experimental investigation on
unsteady flow field about a coupled pitching-rolling delta wing," Acta
Aerodynamica Sinica, vol. 19, no. 1, pp.47-55. 2001.
[18] M.J. Khan, and A. Ahmed, "Response of vortex breakdown induced wing
rock to pitching & plunging," AIAA paper 2004-4732, 2004.
[19] J.M. Elzebda, D.T. Mook, and A.H. Nayfeh, "Influence of pitching
motion on subsonic wing rock of slender delta wings," Journal of Aircraft,
vol. 26, no. 6, pp. 503-508. 1989.
[20] J. Er-El, D. Seter, and D. Weihs, "Nonlinear aerodynamics of a delta wing
in combined pitch and roll," Journal of Aircraft, vol. 26, no. 3, pp.
245-259. 1989.
[21] J. Blazek, COMPUTATIONAL FLUID DYNAMICS: PRINCIPLES AND
APPLICATIONS (Book style). First edition 2001, ELSEVIER SCIENCE
Ltd. 2001, pp. 16-18.
[22] Q. Shen, and H.X. Zhang, "A new upwind NND scheme for Euler
equations and its application to the supersonic flow," in Proceedings of
Asia Workshop on CFD, Sichuan, China, 1994.
[23] A. Jameson, "Time dependent calculations using multigrid with
application to unsteady flows past airfoils and wings," AIAA paper
91-1596, 1991.
@article{"International Journal of Mechanical, Industrial and Aerospace Sciences:55662", author = "Yang Xiaoliang and Liu Wei and Wang Hongbo and Zhao Yunfei", title = "Numerical Investigation of a Slender Delta Wing in Combined Force-Pitch and Free-Roll", abstract = "Numerical investigation of the characteristics of an 80°
delta wing in combined force-pitch and free-roll is presented. The
implicit, upwind, flux-difference splitting, finite volume scheme and
the second-order-accurate finite difference scheme are employed to
solve the flow governing equations and Euler rigid-body dynamics
equations, respectively. The characteristics of the delta wing in
combined free-roll and large amplitude force-pitch is obtained
numerically and shows a well agreement with experimental data
qualitatively. The motion in combined force-pitch and free-roll
significantly reduces the lift force and transverse stabilities of the delta
wing, which is closely related to the flying safety. Investigations on
sensitive factors indicate that the roll-axis moment of inertia and the
structural damping have great influence on the frequency and
amplitude, respectively. Moreover, the turbulence model is considered
as an influencing factor in the investigation.", keywords = "combined force-pitch and free-roll, numericalsimulation, sensitive factors, slender delta wing, wing rock", volume = "5", number = "7", pages = "1328-7", }
