A Three Dimensional Vortex Particle-Panel Method for Modeling Propulsion-Airframe Interaction

The panel code has been a pivotal tool for aerodynamic simulations for decades, today providing users with quick solutions without the necessity of a volume grid. Unfortunately, the panel code also carries with it some inherent shortcomings when compared with other methods. One such weakness is its inability to account for any work done on or by the system in question. This paper proposes a method to address this issue by combining vortex particles with a panel code, and using them to model the work effects of a propeller or engine. While the proposed model is still a work in progress, it has already demonstrated the ability to qualitatively predict pressure coefficient and velocity changes that would be expected for a variety of propeller-body combinations.

[1]  J. Butcher The numerical analysis of ordinary differential equations: Runge-Kutta and general linear methods , 1987 .

[2]  M. Pulvirenti,et al.  On the invariant measures for the two-dimensional euler flow , 1987 .

[3]  C. Rehbach,et al.  Numerical calculation of three-dimensional unsteady flows with vortex sheets , 1977 .

[4]  A. Majda,et al.  Vortex methods. II. Higher order accuracy in two and three dimensions , 1982 .

[5]  P. Degond,et al.  The weighted particle method for convection-diffusion equations. II. The anisotropic case , 1989 .

[6]  Spyros G. Voutsinas,et al.  ROTORCRAFT AERODYNAMIC AND AEROACOUSTIC MODELLING USING VORTEX PARTICLE METHODS , 2002 .

[7]  J. T. Beale,et al.  A convergent 3-D vortex method with grid-free stretching , 1986 .

[8]  J. Katz,et al.  Low-Speed Aerodynamics , 1991 .

[9]  Fred Nitzsche,et al.  Acoustic validation of a new code using particle wake aerodynamics and geometrically-exact beam structural dynamics , 2005, The Aeronautical Journal (1968).

[10]  Christopher R. Anderson,et al.  On Vortex Methods , 1985 .

[11]  Andrew J. Majda,et al.  Vortex methods. I. Convergence in three dimensions , 1982 .

[12]  David Joe Willis,et al.  An unsteady, accelerated, high order panel method with vortex particle wakes , 2006 .

[13]  J. Williamson Low-storage Runge-Kutta schemes , 1980 .

[14]  R. Balian,et al.  Methods in Field Theory. Les Houches Summer School in Theoretical Physics. Session 28, July 28-September 6, 1975 , 1976 .

[15]  John L Hess,et al.  CALCULATION OF NON-LIFTING POTENTIAL FLOW ABOUT ARBITRARY THREE-DIMENSIONAL BODIES , 1962 .

[16]  Chengjian He,et al.  Modeling Rotor Wake Dynamics with Viscous Vortex Particle Method , 2009 .

[17]  Gregoire Stephane Winckelmans Topics in vortex methods for the computation of three- and two-dimensional incompressible unsteady flows , 1989 .

[18]  A. Chorin Numerical study of slightly viscous flow , 1973, Journal of Fluid Mechanics.

[19]  Jacob K. White,et al.  A combined pFFT‐multipole tree code, unsteady panel method with vortex particle wakes , 2007 .

[20]  A. Leonard Vortex methods for flow simulation , 1980 .

[21]  Jacob K. White,et al.  FastAero – A Precorrected FFT – Fast Multipole Tree Steady and Unsteady Potential Flow Solver , 2005 .

[22]  John T. Conway,et al.  Exact actuator disk solutions for non-uniform heavy loading and slipstream contraction , 1998, Journal of Fluid Mechanics.

[23]  P. Degond,et al.  The weighted particle method for convection-diffusion equations , 1989 .

[24]  Spyros G. Voutsinas,et al.  Vortex methods in aeronautics: how to make things work , 2006 .

[25]  Grégoire Winckelmans,et al.  Contributions to vortex particle methods for the computation of three-dimensional incompressible unsteady flows , 1993 .

[26]  J. T. Conway PREDICTION OF THE PERFORMANCE OF HEAVILY LOADED PROPELLERS WITH SLIPSTREAMCONTRACTION , 1998 .