Vorticity Based Breakdown of the Aerodynamic Force in Three-Dimensional Compressible Flows

Recently, a definition of the lift-induced drag in terms of a field integral of the Lamb vector has been proposed in case of incompressible high-Reynolds-number flow and verified by postprocessing computational-fluid-dynamics solutions around wings. The possibility to extend this definition also to the case of compressible flows is investigated in this paper. An exact expression of the aerodynamic force in three-dimensional flows is discussed; it allows for a breakdown of the aerodynamic force (both drag and lift) in its physical contributions. Its applicability is analyzed in case of Reynolds-averaged Navier–Stokes numerical solutions around an elliptic wing in subsonic and transonic conditions. A rigorous and unambiguous definition of lift-induced drag is obtained. It still depends on the vortex force of the flow (the volume integral of the Lamb vector field), but a compressibility correction term is also to be taken into account. Both viscous and wave drag components can be computed by a surface integr...

[1]  L. Q. Liu,et al.  Longitudinal–transverse aerodynamic force in viscous compressible complex flow , 2014, Journal of Fluid Mechanics.

[2]  Renato Tognaccini,et al.  Advances in Aerodynamic Drag Extraction by Far-Field Methods , 2012 .

[3]  Jochen Raddatz,et al.  Block Structured Navier-Stokes Solver FLOWer , 2005 .

[4]  Ilan Kroo,et al.  DRAG DUE TO LIFT: Concepts for Prediction and Reduction , 2001 .

[5]  R. Tognaccini,et al.  Aerodynamic force by Lamb vector integrals in compressible flow , 2014 .

[6]  Tianshu Liu,et al.  Evaluation of Lift Formulas Applied to Low-Reynolds-Number Unsteady Flows , 2015 .

[7]  Daniel Destarac,et al.  Three-Component Breakdown of Spurious Drag in Computational Fluid Dynamics , 2015 .

[8]  Renato Tognaccini,et al.  Drag Computation and Breakdown in Power-on Conditions , 2005 .

[9]  Daniel Destarac,et al.  Spurious Far-Field-Boundary Induced Drag in Two-Dimensional Flow Simulations , 2011 .

[10]  Alex Povitsky,et al.  Far-Field Induced Drag Prediction Using Vorticity Confinement Technique , 2014 .

[11]  R. Tognaccini,et al.  Far-Field Analysis of the Aerodynamic Force by Lamb Vector Integrals , 2010 .

[12]  D. Destarac,et al.  Erratum to “Drag/thrust analysis of jet-propelled transonic transport aircraft; Definition of physical drag components” [Aerospace Science and Technology 8 (6) (2004) 545–556] , 2004 .

[13]  L. Q. Liu,et al.  A dynamic counterpart of Lamb vector in viscous compressible aerodynamics , 2014 .

[14]  Luigi Paparone,et al.  Computational Fluid Dynamics-Based Drag Prediction and Decomposition , 2003 .

[15]  R. Tognaccini,et al.  Lift and Lift-Induced Drag Computation by Lamb Vector Integration , 2013 .

[16]  円山 重直,et al.  A wake integration method for airplane drag prediction , 2005 .

[17]  Philippe R. Spalart,et al.  On the far wake and induced drag of aircraft , 2008, Journal of Fluid Mechanics.

[18]  Xi-Yun Lu,et al.  Integral force acting on a body due to local flow structures , 2007, Journal of Fluid Mechanics.

[19]  James G. Coder,et al.  Inviscid Circulatory-Pressure Field Derived from the Incompressible Navier-Stokes Equations , 2015 .