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., {"references":["R.C. Nelson, A. Pelletier, \"The unsteady aerodynamics of slender wings\nand aircraft undergoing large amplitude maneuvers,\" Progress in\nAerospace Sciences, vol. 39, no.2-3, pp. 185-248. 2003.","L.E. Nguyen, L.P. Yin, and J.R. Chambers, \"Selfinduced wing rock of\nslender delta wing,\" AIAA paper 81-1883, Aug. 1981.","B.N. Pamadi, D.M. Rao, and T. Niranjana, \"Wing rock and roll attractor\nof delta wing at high angles of attack,\" AIAA paper 94-0807, 1994.","Ericson, L., \"Wing rock analysis of slender delta wings, review and\nextension,\" AIAA paper 95-0317, Jan.1995.","X.Z. Huang, and E.S. Hanff, \"Non-linear rolling stability of a 65┬░ delta\nwing model at high incidence,\" AIAA paper 99-4102, 1999.","N.M. Chaderjian, and L.B. Schiff, \"Navier-Stokes prediction of\nlarge-amplitude forced and free-to-roll delta-wing oscillations,\" AIAA\npaper 94-1884, 1994.","O.A. Kandil, and M.A. Menzies, \"Effective control of computationally\nsimulated wing rock in subsonic flow\". AIAA paper 97-0831, 1997.","W. Liu, H.X. Zhang, and H.Y. Zhao, \"Numerical simulation and physical\ncharacteristics analysis for slender wing rock,\" Journal of Aircraft, vol.43,\nno.3, pp. 858-861. 2006.","R.M. Hall, and S.H. Woodson, \"Introduction to the abrupt wing stall\nprogram,\" Journal of Aircraft, vol.41, no.3, pp. 425-435. 2004.\n[10] R.M. Hall, \"Introduction: Abrupt Wing Stall program, Part 2,\" Journal of\nAircraft, vol.42, no.3, pp. 577-577. 2005.\n[11] R.M. Hall, S.H. Woodson, and J.R. Chambers, \"Accomplishments of the\nAbrupt-Wing-Stall program,\" Journal of Aircraft, vol.42, no.3, pp.\n653-660. 2005.\n[12] O.A. Kandil, and H.A. Kandil, \"Pitching oscillation of a 65-degree delta\nwing in transonic vortex-breakdown flow,\" AIAA paper 94-1426-CP,\n1994.\n[13] Y.A. Abdelhamid, and O.A. Kandil, \"Effect of reduced frequency on\nsuper maneuver delta wing,\" AIAA paper 98-0415, 1998.\n[14] C. Jouannet, and P. Krus, \"Lift coefficient predictions for delta wing\nunder pitching motions,\" AIAA paper 2002-2969, 2002.\n[15] O.A. Kandil, and M.A. Menzies, \"Coupled rolling and pitching oscillation\neffects on transonic shock-induced vortex-breakdown flow of a delta\nwing,\" AIAA paper 96-0828, 1996.\n[16] H.J. Kowal, and A.D. Vakili, \"An investigation of unsteady vortex flow\nfor a pitching-rolling 70-deg delta wing,\" AIAA paper98-0416, 1998.\n[17] M.Z. Tang, W. Zhang, and H.L. He, \"Experimental investigation on\nunsteady flow field about a coupled pitching-rolling delta wing,\" Acta\nAerodynamica Sinica, vol. 19, no. 1, pp.47-55. 2001.\n[18] M.J. Khan, and A. Ahmed, \"Response of vortex breakdown induced wing\nrock to pitching & plunging,\" AIAA paper 2004-4732, 2004.\n[19] J.M. Elzebda, D.T. Mook, and A.H. Nayfeh, \"Influence of pitching\nmotion on subsonic wing rock of slender delta wings,\" Journal of Aircraft,\nvol. 26, no. 6, pp. 503-508. 1989.\n[20] J. Er-El, D. Seter, and D. Weihs, \"Nonlinear aerodynamics of a delta wing\nin combined pitch and roll,\" Journal of Aircraft, vol. 26, no. 3, pp.\n245-259. 1989.\n[21] J. Blazek, COMPUTATIONAL FLUID DYNAMICS: PRINCIPLES AND\nAPPLICATIONS (Book style). First edition 2001, ELSEVIER SCIENCE\nLtd. 2001, pp. 16-18.\n[22] Q. Shen, and H.X. Zhang, \"A new upwind NND scheme for Euler\nequations and its application to the supersonic flow,\" in Proceedings of\nAsia Workshop on CFD, Sichuan, China, 1994.\n[23] A. Jameson, \"Time dependent calculations using multigrid with\napplication to unsteady flows past airfoils and wings,\" AIAA paper\n91-1596, 1991."]}