Castles W Jr, Gray RB (1951) Empirical relation between induced velocity, thrust, and rate of descent of a helicopter rotor as determined by wind-tunnel tests on four model rotors. NACA Technical Note NACA-TN-2474
Wilson JC, Mineck RE (1974) Wind tunnel investigation of helicopter rotor wake effects on three helicopter fuselage models. NASA Technical Memorandum NASA-TM-X-3185-SUPPL
Landgrebe AJ (1971) An analytical and experimental investigation of helicopter rotor hover performance and wake geometry characteristics. AD0728835
McCroskey WJ, Fisher RK (1972) Detailed aerodynamic measurements on a model rotor in the blade stall regime. J Am Helicopter Soc 17(1):20–30. https://doi.org/10.4050/JAHS.17.1.20
Article
Google Scholar
Johnson B, Leishman JG, Sydney A (2010) Investigation of sediment entrainment using dual-phase, high-speed particle image velocimetry. J Am Helicopter Soc 55(4):42003. https://doi.org/10.4050/JAHS.55.042003
Crozier P, Leconte P, Delrieux Y, Gimonet B, Pape AL, des Rochettes HM (2006) Wind-tunnel tests of a helicopter rotor with active flaps. In: 32nd European Rotorcraft Forum, Maastricht, the Netherlands, 12–14 September 2006.
van der Wall BG, Burley CL, Yu Y, Richard H, Pengel K, Beaumier P (2004) The HART II test – measurement of helicopter rotor wakes. Aerosp Sci Technol 8(4):273–284. https://doi.org/10.1016/j.ast.2004.01.001
Article
Google Scholar
Datta A, Yeo H, Norman TR (2013) Experimental investigation and fundamental understanding of a full-scale slowed rotor at high advance ratios. J Am Helicopter Soc 58(2):1–17. https://doi.org/10.4050/JAHS.58.022004
Article
Google Scholar
Komerath NM, Smith MJ, Tung C (2011) A review of rotor wake physics and modeling. J Am Helicopter Soc 56(2):22006. https://doi.org/10.4050/JAHS.56.022006
Article
Google Scholar
Beaumier P (2018) Rotorcraft experimental databases: future needs in the fields of aeromechanics and aeroacoustics. In: 7th Asian/Australian Rotorcraft Forum, Jeju Island, South Korea, 30 October - 1 November 2018
Desopper A, Lafon P, Ceroni P, Philippe JJ (1989) Ten years of rotor flow studies at ONERA. J Am helicopter Soc 34(1):34–41. https://doi.org/10.4050/JAHS.34.34
Strawn RC, Barth TJ (1993) A finite-volume Euler solver for computing rotary-wing aerodynamics on unstructured meshes. J Am Helicopter Soc 38(2):61–67. https://doi.org/10.4050/JAHS.38.61
Article
Google Scholar
Srinivasan GR, Baeder JD, Obayashi S, McCroskey WJ (1992) Flowfield of a lifting rotor in hover - A Navier-Stokes simulation. AIAA J 30(10):2371–2378. https://doi.org/10.2514/3.11236
Article
MATH
Google Scholar
Duque EPN (1992) A numerical analysis of the British experimental rotor program blade. J Am Helicopter Soc 37(1):46–54. https://doi.org/10.4050/JAHS.37.46
Chen H, Kandasamy S, Orszag S, Shock R, Succi S, Yakhot V (2003) Extended Boltzmann kinetic equation for turbulent flows. Science 301(5633):633–636. https://doi.org/10.1126/science.1085048
Narducci R (2015) Hover performance assessment of several tip shapes using OVERFLOW. In: 53rd AIAA Aerospace Sciences Meeting. Kissimmee, Florida, USA, 5–9 January 2015
Chaderjian NM (2017) Navier-Stokes simulation of UH-60A rotor/wake interaction using adaptive mesh refinement. In: Proceedings of the AHS International 73rd Annual Forum of the American Helicopter Society. Fort Worth, Texas, USA, 9–11 May 2017.
Pang C, Yang H, Gao Z, Chen S (2021) Enhanced adaptive mesh refinement method using advanced vortex identification sensors in wake flow. Aerosp Sci Technol 115:106796. https://doi.org/10.1016/j.ast.2021.106796
Article
Google Scholar
Wilbur IC, Moushegian A, Smith MJ, Whitehouse GR (2020) UH-60A rotor analysis with an accurate dual-formulation hybrid aeroelastic methodology. J Aircr 57(1):113–127. https://doi.org/10.2514/1.C035467
Yoon S, Diaz PV, Boyd Jr DD, Chan WM, Theodore CR (2017) Computational aerodynamic modeling of small quadcopter vehicles. In: Proceedings of the AHS International 73rd Annual Forum of the American Helicopter Society. Fort Worth, Texas, USA, 9–11 May 2017.
Leishman JG, Ananthan S (2006) Aerodynamic optimization of a coaxial proprotor. In: Proceedings of the AHS International 62nd Annual Forum and Technology Display, Phoenix, AZ, USA, 9–11 May 2006
Wie SY, Lee S, Lee DJ (2009) Potential panel and time-marching free-wake coupling analysis for helicopter rotor. J Aircr 46(3):1030–1041. https://doi.org/10.2514/1.40001
Gennaretti M, Bernardini G, Serafini J, Romani G (2018) Rotorcraft comprehensive code assessment for blade–vortex interaction conditions. Aerosp Sci Technol 80:232–246. https://doi.org/10.1016/j.ast.2018.07.013
Article
Google Scholar
Tugnoli M, Montagnani D, Syal M, Droandi G, Zanotti A (2021) Mid-fidelity approach to aerodynamic simulations of unconventional VTOL aircraft configurations. Aerosp Sci Technol 115:106804. https://doi.org/10.1016/j.ast.2021.106804
Article
Google Scholar
Leishman JG (2006) Principles of helicopter aerodynamics. Cambridge University Press, Cambridge
Johnson W (2013) Rotorcraft aeromechanics. Cambridge University Press, Cambridge
Landgrebe AJ, Moffitt RC, Clark DR (1977) Aerodynamic technology for advanced rotorcraft-part I. J Am Helicopter Soc 22(2):21–27. https://doi.org/10.4050/JAHS.22.21
Landgrebe AJ, Moffitt RC, Clark DR (1977) Aerodynamic technology for advanced rotorcraft-part II. J Am Helicopter Soc 22(3):2–9. https://doi.org/10.4050/JAHS.22.3.2
DeYoung J (1976) Historical evolution of vortex-lattice methods. NASA Langley Res Cent Vor Util N76–28164
Katz J, Maskew B (1988) Unsteady low-speed aerodynamic model for complete aircraft configurations. J Aircr 25(4):302–310. https://doi.org/10.2514/3.45564
Article
Google Scholar
Wachspress DA, Yu MK (2015) Lifting surface blade model for comprehensive rotorcraft analysis. In: Proceedings of the AHS International 71st Annual Forum and Technology Display, Virginia Beach, VA, USA, 5–7 May 2015
Rubbert PE, Saaris GR (1968) A general three-dimensional potential-flow method applied to V/STOL aerodynamics. SAE Trans 77:945–957. https://doi.org/10.4271/680304
Hess JL (1972) Calculation of potential flow about arbitrary three-dimensional lifting bodies. AD0755480.
Crispin Y (1982) Unsteady rotor aerodynamics using a vortex panel method. In: 9th Atmospheric Flight Mechanics Conference, San Diego, CA, USA, 9–11 August 1982.
Wachspress DA, Quackenbush TR, Boschitsch AH (2003) Rotorcraft interactional aerodynamics with fast vortex/fast panel methods. J Am Helicopter Soc 48(4):223–235. https://doi.org/10.4050/JAHS.48.223
Article
Google Scholar
Rajmohan N, He C (2016) A VPM/CFD coupling methodology to study rotor/ship aerodynamic interaction. In: AIAA Modeling and Simulation Technologies Conference, San Diego, California, USA, 4–8 January 2016
Zhao J, He C, Zhang L, Zhao H, Hu P (2011) Coupled viscous vortex particle method and unstructured computational fluid dynamics solver for rotorcraft aerodynamic interaction analysis. In: 49th AIAA Aerospace Sciences Meeting including the New Horizons Forum and Aerospace Exposition, Orlando, Florida, USA, 4–7 January 2011.
Bae ES, He C (2017) On high fidelity modeling of aerodynamic interaction between ship and rotor. In: 35th AIAA Applied Aerodynamics Conference, Denver, Colorado, USA, 5–9 June 2017
Bhagwat MJ, Leishman JG (2001) Stability, consistency and convergence of time-marching free-vortex rotor wake algorithms. J Am Helicopter Soc 46(1):59–71. https://doi.org/10.4050/JAHS.46.59
Article
Google Scholar
Lee D-J, Na SU (1994) Predictions of helicopter wake geometry and air loadings by using a time marching free wake method. In: Proceedings of the 1st Forum Russian Helicopter Society, Moscow
Jang JS, Park SH, Lee DJ (2014) Prediction of fuselage surface pressures in rotor–fuselage interactions using an integral solution of Poisson equation. J Am Helicopter Soc 59(4):1–11. https://doi.org/10.4050/JAHS.59.042001
Article
Google Scholar
He C, Zhao J (2009) Modeling rotor wake dynamics with viscous vortex particle method. AIAA J 47(4):902–915. https://doi.org/10.2514/1.36466
Article
Google Scholar
Winckelmans GS, Leonard A (1993) Contributions to vortex particle methods for the computation of three-dimensional incompressible unsteady flows. J Comput Phys 109(2):247–273. https://doi.org/10.1006/jcph.1993.1216
Article
MathSciNet
MATH
Google Scholar
Singh P, Friedmann PP (2021) Dynamic stall modeling using viscous vortex particle method for coaxial rotors. J Am Helicopter Soc 66(1):1–16. https://doi.org/10.4050/JAHS.66.012010
Article
Google Scholar
Cao Y, Lv S, Li G (2014) A coupled free-wake/panel method for rotor/fuselage/empennage aerodynamic interaction and helicopter trims. Proc Inst Mech Eng Part G J Aerosp Eng 229(3):435–444. https://doi.org/10.1177/0954410014534203
Article
Google Scholar
Tan JF, Sun YM, Barakos GN (2018) Unsteady loads for coaxial rotors in forward flight computed using a vortex particle method. Aeronaut J 122(1251):693–714. https://doi.org/10.1017/aer.2018.8
Article
Google Scholar
Tan JF, Cai JG, Barakos GN, Wang C, Huang MQ (2020) Computational study on the aerodynamic interference between tandem rotors and nearby obstacles. J Aircr 57(3):456–468. https://doi.org/10.2514/1.C035629
Tan JF, Sun YM, Barakos GN (2018) Vortex approach for downwash and outwash of tandem rotors in ground effect. J Aircr 55(6):2491–2509. https://doi.org/10.2514/1.C034740
Article
Google Scholar
Tan JF, Zhou TY, Sun YM, Barakos GN (2019) Numerical investigation of the aerodynamic interaction between a tiltrotor and a tandem rotor during shipboard operations. Aerosp Sci Technol 87:62–72. https://doi.org/10.1016/j.ast.2019.02.005
Article
Google Scholar
Lee J, Chae S, Oh S, Yee K (2010) Parametric study for hovering performance of a coaxial rotor unmanned aerial vehicle. J Aircr 47(5):1517–1530. https://doi.org/10.2514/1.46460
Brocklehurst A, Barakos GN (2013) A review of helicopter rotor blade tip shapes. Prog Aerosp Sci 56:35–74. https://doi.org/10.1016/j.paerosci.2012.06.003
Article
Google Scholar
Colmenares JD, López OD, Preidikman S (2015) Computational study of a transverse rotor aircraft in hover using the unsteady vortex lattice method. Math Probl Eng 2015:478457. https://doi.org/10.1155/2015/478457
Chung KH, Kim JW, Ryu KW et al (2006) Sound generation and radiation from rotor tip-vortex pairing phenomenon. AIAA J 44(6):1181–1187. https://doi.org/10.2514/1.22548
Saetti U, Horn JF, Brentner KS, Villafana W, Wachspress D (2016) Rotorcraft simulations with coupled flight dynamics, free wake, and acoustics. In: Proceedings of the AHS International 72nd Annual Forum and Technology Display, West Palm Beach, Florida, USA, 17–19 May 2016.
Lee H, Lee D-J (2020) Rotor interactional effects on aerodynamic and noise characteristics of a small multirotor unmanned aerial vehicle. Phys Fluids 32:47107. https://doi.org/10.1063/5.0003992
Article
Google Scholar
Kwon OJ, Hodges DH, Sankar LN (1991) Stability of hingeless rotors in hover using three-dimensional unsteady aerodynamics. J Am Helicopter Soc 36(2):21–31. https://doi.org/10.4050/JAHS.36.21
Yoo KM, Hodges DH, Peters DA (1992) An interactive numerical procedure for rotor aeroelastic stability analysis using elastic lifting surface. In: 18th ICAS Conference, Beijing, China, 20–25 September 1992.
Roura M, Cuerva A, Sanz-Andrés A, Barrero-Gil A (2010) A panel method free-wake code for aeroelastic rotor predictions. Wind Energy 13(4):357–371. https://doi.org/10.1002/we.358
Article
Google Scholar
Prandtl L (1921) Applications of modern hydrodynamics to aeronautics. NACA Technical Report NACA-TR-116
Katz J, Plotkin A (2001) Low-speed aerodynamics. Cambridge University Press, Cambridge
Glauert H (1947) The elements of aerofoil theory. Cambridge University Press, Cambridge
Goldstein S (1929) On the vortex theory of screw propellers. Proc R Soc Lond A 123(792):440–465. https://doi.org/10.1098/rspa.1929.0078
Lerbs H (1952) Moderately loaded propellers with a finite number of blades and an arbitrary distribution of circulations. Trans SNAME 60:73–123
Google Scholar
Kawada S (1933) On the induced velocity and characteristics of a propeller. J Eng 20:147–162
Google Scholar
Conlisk AT (2001) Modern helicopter rotor aerodynamics. Prog Aerosp Sci 37:419–476. https://doi.org/10.1016/S0376-0421(01)00011-2
Article
Google Scholar
Melo DB, Baltazar J, de Campos JACF (2018) A numerical wake alignment method for horizontal axis wind turbines with the lifting line theory. J Wind Eng Ind Aerodyn 174:382–390. https://doi.org/10.1016/j.jweia.2018.01.028
Article
Google Scholar
Kerwin JE, Lee C-S (1978) Prediction of steady and unsteady marine propeller performance by numerical lifting-surface theory. In: SNAME Annual Meeting. Society of Naval Architects and Marine Engineers, Jersey City, NJ, USA, 16–18 November 1978.
José AC, de Campos F (2007) Hydrodynamic power optimization of a horizontal axis marine current turbine with lifting line theory. In: 17th International Offshore and Polar Engineering Conference, Lisbon, Portugal, 1–6 July 2007.
Miller RH (1985) Methods for rotor aerodynamic and dynamic analysis. Prog Aerosp Sci 22:113–160. https://doi.org/10.1016/0376-0421(85)90008-9
Article
Google Scholar
Jones HE, Kunz DL (2001) Comprehensive modeling of the Apache with CAMRAD II. In: American Helicopter Society Structure Specialists Meeting, Williamsburg, VA, USA, 1 January 2001
Kunz DL, Jones HE (2001) Modeling and simulation of the Apache rotor system in CAMRAD II. In: American Helicopter Society Structure Specialists Meeting, Williamsburg, VA, USA, 1 January 2001
Yeo H, Saberi H (2021) Tiltrotor conversion maneuver analysis with RCAS. J Am Helicopter Soc 66(4):1–14. https://doi.org/10.4050/JAHS.66.042010
Yeo H, Bosworth J, Acree CW Jr, Kreshock AR (2018) Comparison of CAMRAD II and RCAS predictions of tiltrotor aeroelastic stability. J Am Helicopter Soc 63(2):1–13. https://doi.org/10.4050/JAHS.63.022001
Jain RK, Yeo H, Ho JC, Bhagwat M (2016) An assessment of RCAS performance prediction for conventional and advanced rotor configurations. J Am Helicopter Soc 61(4):1–12. https://doi.org/10.4050/JAHS.61.042005
Article
Google Scholar
Ho JC, Yeo H, Bhagwat M (2017) Validation of rotorcraft comprehensive analysis performance predictions for coaxial rotors in hover. J Am Helicopter Soc 62(2):1–13. https://doi.org/10.4050/JAHS.62.022005
Article
Google Scholar
Wachspress DA, Quackenbush TR (2006) Impact of rotor design on coaxial rotor performance, wake geometry and noise. In: Proceedings of the AHS International 62nd Annual Forum and Technology Display, Phoenix, AZ, USA, 9–11 May 2006
Moodie AM, Yeo H (2012) Design of a cruise-efficient compound helicopter. J Am Helicopter Soc 57(3):1–11. https://doi.org/10.4050/JAHS.57.032004
Article
Google Scholar
Guermond J-L (1990) A generalized lifting-line theory for curved and swept wings. J Fluid Mech 211:497–513. https://doi.org/10.1017/S0022112090001665
Article
MathSciNet
MATH
Google Scholar
Phillips WF, Snyder DO (2000) Modern adaptation of Prandtl’s classic lifting-line theory. J Aircr 37(4):662–670. https://doi.org/10.2514/2.2649
Article
Google Scholar
Phlips PJ, East RA, Pratt NH (1981) An unsteady lifting line theory of flapping wings with application to the forward flight of birds. J Fluid Mech 112:97–125. https://doi.org/10.1017/S0022112081000311
Article
MathSciNet
MATH
Google Scholar
Ahmadi AR, Widnall SE (1985) Unsteady lifting-line theory as a singular perturbation problem. J Fluid Mech 153:59–81. https://doi.org/10.1017/S0022112085001148
Article
MATH
Google Scholar
Sclavounos PD (1987) An unsteady lifting-line theory. J Eng Math 21:201–226. https://doi.org/10.1007/BF00127464
Article
MATH
Google Scholar
Lee H (2019) Development of nonlinear vortex lattice method for predicting wind turbine performance and wake structures. Korea Advanced Institute of Science and Technology
Tulinius J (1972) Unified subsonic, transonic, and supersonic NAR vortex lattice. TFD-72–523 North American Rockwell Los Angeles
Joseph C, Mohan R (2021) A parallel, object-oriented framework for unsteady free-wake analysis of multi-rotor/wing systems. Comput Fluids 215:104788. https://doi.org/10.1016/j.compfluid.2020.104788
Article
MathSciNet
MATH
Google Scholar
Wachspress DA, Yu MK, Brentner KS (2019) Rotor/airframe aeroacoustic prediction for EVTOL UAM aircraft. In: Vertical Flight Society’s 75th Annual Forum and Technology Display, Philadelphia, PA, USA, 13–16 May 2019.
Govdeli Y, Muzaffar SMB, Raj R, Elhadidi B, Kayacan E (2019) Unsteady aerodynamic modeling and control of pusher and tilt-rotor quadplane configurations. Aerosp Sci Technol 94:105421. https://doi.org/10.1016/j.ast.2019.105421
Article
Google Scholar
Cho MH, Lee I (1995) Aeroelastic analysis of multibladed hingeless rotors in hover. AIAA J 33(12):2348–2353. https://doi.org/10.2514/3.12990
Article
MATH
Google Scholar
Lee J-W, Oh S-J, Yee K-J et al (2007) Loose coupling approach of CFD with a free-wake panel method for rotorcraft applications. Int J Aeronaut Sp Sci 8:1–9. https://doi.org/10.5139/IJASS.2007.8.1.001
Lee J, Yee K, Oh S (2009) Aerodynamic characteristic analysis of multi-rotors using a modified free-wake method. Trans Jpn Soc Aeronaut Space Sci 52(177):168–179. https://doi.org/10.2322/tjsass.52.168
Article
Google Scholar
Zhu W, Morandini M, Li S (2021) Viscous vortex particle method coupling with computational structural dynamics for rotor comprehensive analysis. Appl Sci 11(7):3149. https://doi.org/10.3390/app11073149
Ballmann J, Eppler R, Hackbusch W (1987) Panel methods in fluid mechanics with emphasis on aerodynamics. In: Proceedings of the 3rd GAMM-seminar, Kiel, 16–18 January 1987
Jun S, Yee K, Lee J, Lee D-H (2011) Robust design optimization of unmanned aerial vehicle coaxial rotor considering operational uncertainty. J Aircr 48(2):353–367. https://doi.org/10.2514/1.C001016
Morino L, Kuo C-C (1974) Subsonic potential aerodynamics for complex configurations: a general theory. AIAA J 12(2):191–197. https://doi.org/10.2514/3.49191
Quackenbush TR, Wachspress DA, Boschitsch AH, Curbishley TB (1999) A comprehensive hierarchical aeromechanics rotorcraft model (CHARM) for general rotor/surface interaction. Princeton, NJ Continuum Dynamics, Inc
Zhang C, Quackenbush TR, Saberi H, Sheng C, Gaffey T (2015) Aeromechanics of the coaxial compound helicopter. In: 56th AIAA/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference, Kissimmee, Florida, USA, 5–9 January 2015
Wachspress DA, Quackenbush TR (2001) BVI noise prediction using a comprehensive rotorcraft analysis. In: Proceedings of the American Helicopter Society 57th Annual Forum, Washington D.C., USA, 9–11 May 2001
Johnson W (2012) A history of rotorcraft comprehensive analysis. NASA/TP-2012–216012
Yang Z, Sankar LN, Smith MJ, Bauchau O (2002) Recent improvements to a hybrid method for rotors in forward flight. J Aircr 39(5):804–812. https://doi.org/10.2514/2.3000
Article
Google Scholar
Wie SY, Lee JH, Kwon JH, Lee DJ (2010) Far-field boundary condition effects of CFD and free-wake coupling analysis for helicopter rotor. J Fluids Eng 132(8):084501. https://doi.org/10.1115/1.4002110
Article
Google Scholar
Wie SY, Im DK, Kwon JH, Lee DJ (2010) Numerical simulation of rotor using coupled computational fluid dynamics and free wake. J Aircr 47(4):1167–1177. https://doi.org/10.2514/1.46797
Article
Google Scholar
Shi Y, Xu G, Wei P (2016) Rotor wake and flow analysis using a coupled Eulerian-Lagrangian method. Eng Appl Comput Fluid Mech 10(1):384–402. https://doi.org/10.1080/19942060.2016.1174887
Article
Google Scholar
Zhao Y, Shi Y, Xu G (2017) Helicopter blade-vortex interaction airload and noise prediction using coupling CFD/VWM method. Appl Sci 7(4):381. https://doi.org/10.3390/app7040381
Bae ES, Rand P, He C (2019) Hybrid Lagrangian-Eulerian approach for modeling aerodynamic interactions. In: AIAA Aviation 2019 Forum, Dallas, Texas, USA, 17–21 June 2019
Kelly ME, Duraisamy K, Brown R (2008) Predicting blade vortex interaction, airloads and acoustics using the vorticity transport model. In: Proceedings of the AHS Specialists’ Conference on Aeromechanics, San Francisco, CA, USA, 23–25 January 2008.
Renaud T, Le Pape A, Péron S (2013) Numerical analysis of hub and fuselage drag breakdown of a helicopter configuration. CEAS Aeronaut J 4:409–419. https://doi.org/10.1007/s13272-013-0081-0
Article
Google Scholar
Taylor MK (1950) A balsa-dust technique for air-flow visualization and its application to flow through model helicopter rotors in static thrust. NACA Technical Note NACA-TN-2220
Gray RB (1957) An aerodynamic analysis of a single-bladed rotor in hovering and low-speed forward flight as determined from smoke studies of the vorticity distribution in the wake. Dissertation, Princeton University
Landgrebe AJ (1972) The wake geometry of a hovering helicopter rotor and its influence on rotor performance. J Am Helicopter Soc 17(4):3–15. https://doi.org/10.4050/JAHS.17.4.3
Sullivan JP (1973) Experimental investigation of vortex rings and helicopter rotor wakes using a laser Doppler velocimeter. Massachusetts Institute of Technology Aerophysics Laboratory, Technical Report 183
Tangler JL (1977) Schlieren and noise studies of rotors in forward flight. In: Proceedings of the American Helicopter Society 33rd Annual Forum, Washington D.C., USA, May 1977.
Leishman JG, Bhagwat MJ, Bagai A (2002) Free-vortex filament methods for the analysis of helicopter rotor wakes. J Aircr 39(5):759–775. https://doi.org/10.2514/2.3022
Strawn RC, Djomehri MJ (2002) Computational modeling of hovering rotor and wake aerodynamics. J Aircr 39(5):786–793. https://doi.org/10.2514/2.3024
Article
Google Scholar
Lee DJ (2000) Numerical prediction of rotor tip-vortex roll-up in axial flights by using a time-marching free-wake method. In: Kamemoto K, Tsutahara M (eds) Vortex Methods. 1st International Conference on Vortex Methods, Kobe, 4 – 5 November 1999. World Scientific Publishing, Tokyo, pp 177–187. https://doi.org/10.1142/9789812793232_0021
Wie SY, Im DK, Kim E, Kwon JH, Lee DJ (2008) An analysis on the helicopter rotor aerodynamics in hover and forward flight using CFD/time-marching-free-wake coupling method. In: Proceedings of the ICCFD 5 - International Conference on Computational Fluid Dynamics. Springer
Hariharan N, Sankar L (2000) A review of computational techniques for rotor wake modeling. In: 38th Aerospace Sciences Meeting and Exhibit, Reno, NV, USA, 10–13 January 2000.
Rosen A, Graber A (1988) Free wake model of hovering rotors having straight or curved blades. J Am helicopter Soc 33(3):11–19. https://doi.org/10.4050/JAHS.33.11
Article
Google Scholar
Wie S-Y, Lee J-H, Kwon J-H et al (2007) A study on the far-field boundary condition effects of CFD/time-marching-free-wake coupled method. J Korean Soc Aeronaut Space Sci 35(11):957–963
Morino L, Kaprielian Z, Sipcic SR (1983) Free wake analysis of helicopter rotors. Paper presented in the 9th European Rotorcraft Forum, Stresa, September 1983
Lee DJ, Na SU (1999) Numerical simulations of wake structure generated by rotating blades using a time marching, free vortex blob method. Eur J Mech - B/Fluids 18:147–159. https://doi.org/10.1016/S0997-7546(99)80011-9
Article
MATH
Google Scholar
Bhagwat MJ, Leishman JG (2002) Generalized viscous vortex model for application to free-vortex wake and aeroacoustic calculations. In: Proceedings of the American Helicopter Society 58th Annual Forum and Technology Display, Montreal, Canada, 11–13 June 2002.
Ploumhans P, Winckelmans GS (2000) Vortex methods for high-resolution simulations of viscous flow past bluff bodies of general geometry. J Comput Phys 165:354–406. https://doi.org/10.1006/jcph.2000.6614
Article
MathSciNet
MATH
Google Scholar
Cottet G-H, Koumoutsakos PD (2000) Vortex methods: theory and practice. Cambridge university press Cambridge
Ploumhans P, Winckelmans GS, Salmon JK et al (2002) Vortex methods for direct numerical simulation of three-dimensional bluff body flows: application to the sphere at Re = 300, 500, and 1000. J Comput Phys 178(2):427–463. https://doi.org/10.1006/jcph.2002.7035
Winckelmans GS (2004) Vortex methods. Encycl Comput Mech. https://doi.org/10.1002/0470091355.ecm055
Article
MATH
Google Scholar
Winckelmans G, Cocle R, Dufresne L, Capart R (2005) Vortex methods and their application to trailing wake vortex simulations. Comptes Rendus Phys 6(4–5):467–486. https://doi.org/10.1016/j.crhy.2005.05.001
Article
Google Scholar
Leonard A (1985) Computing three-dimensional incompressible flows with vortex elements. Annu Rev Fluid Mech 17:523–559. https://doi.org/10.1146/annurev.fl.17.010185.002515
Article
Google Scholar
Russo G (1990) Deterministic diffusion of particles. Commun Pure Appl Math 43(6):697–733. https://doi.org/10.1002/cpa.3160430602
Article
MathSciNet
MATH
Google Scholar
Dehnen W (2002) A hierarchical O(N) force calculation algorithm. J Comput Phys 179:27–42. https://doi.org/10.1006/jcph.2002.7026
Warren MS, Salmon JK (1994) A parallel, portable and versatile treecode. In: 7th Society for Industrial and Applied Mathematics (SIAM) conference on parallel processing for scientific computing. San Francisco, CA, USA, 15–17 February 1995.
Salmon JK, Warren MS (1994) Fast parallel tree codes for gravitational and fluid dynamical N-body problems. Int J Supercomput Appl High Perform Comput 8(2):129–142. https://doi.org/10.1177/109434209400800205
Article
Google Scholar
Koumoutsakos P, Leonard A, Pépin F (1994) Boundary conditions for viscous vortex methods. J Comput Phys 113(1):52–61. https://doi.org/10.1006/jcph.1994.1117
Singh P, Friedmann PP (2018) A computational fluid dynamics–based viscous vortex particle method for coaxial rotor interaction calculations in hover. J Am Helicopter Soc 63(4):1–13. https://doi.org/10.4050/JAHS.63.042002
Su T, Lu Y, Ma J, Guan S (2020) Aerodynamic characteristics analysis of electrically controlled rotor based on viscous vortex particle method. Aerosp Sci Technol 97:105645. https://doi.org/10.1016/j.ast.2019.105645
Article
Google Scholar
Greengard L, Rokhlin V (1987) A fast algorithm for particle simulations. J Comput Phys 73(2):325–348. https://doi.org/10.1016/0021-9991(87)90140-9
Article
MathSciNet
MATH
Google Scholar
Cheng H, Greengard L, Rokhlin V (1999) A fast adaptive multipole algorithm in three dimensions. J Comput Phys 155(2):468–498. https://doi.org/10.1006/jcph.1999.6355
Article
MathSciNet
MATH
Google Scholar
Lee H, Lee D-J (2019) Wake impact on aerodynamic characteristics of horizontal axis wind turbine under yawed flow conditions. Renew Energy 136:383–392. https://doi.org/10.1016/j.renene.2018.12.126
Article
Google Scholar
Lee H, Lee D-J (2019) Numerical investigation of the aerodynamics and wake structures of horizontal axis wind turbines by using nonlinear vortex lattice method. Renew Energy 132:1121–1133. https://doi.org/10.1016/j.renene.2018.08.087
Article
Google Scholar
Raj NV (2000) An improved semi-empirical model for 3-D post-stall effects in horizontal axis wind turbines. Master Thesis, University of Illinois, Urbana-Champaign
Du Z, Selig M (1998) A 3-D stall-delay model for horizontal axis wind turbine performance prediction. In: 1998 ASME Wind Energy Symposium, Reno, NV, USA, 12–15 January 1998.
Peters DA (1985) Toward a unified lift model for use in rotor blade stability analyses. J Am Helicopter Soc 30(3):32–42. https://doi.org/10.4050/JAHS.30.3.32
Article
Google Scholar
Leishman JG, Beddoes TS (1986) A generalized method for airfoil unsteady aerodynamic behavior and dynamic stall using the indicial method. In: Proceedings of the 42nd Annual Forum of the American Helicopter Society, Washington D.C., USA, June 1986
Leishman JG, Beddoes TS (1989) A semi-empirical model for dynamic stall. J Am Helicopter Soc 34(3):3–17. https://doi.org/10.4050/JAHS.34.3.3
Øye S (1991) Dynamic stall simulated as time lag of separation. Technical report, Department of Fluid Mechanics,Technical University of Denmark, 1991.
Lee H, Lee DJ (2019) Prediction of aerodynamic noise radiated from a small multicopter unmanned aerial vehicle using acoustic analogy. Trans Korean Soc Noise Vib Eng 29(4):518–526. https://doi.org/10.5050/KSNVE.2019.29.4.518
Lee H, Lee D-J (2019) Noise prediction of multi-rotor unmanned aerial vehicle considering wake interaction effects. In: Proceedings of the Vertical Flight Society’s 75th Annual Forum and Technology Display, Philadelphia, PA, USA, May 13–16, 2019
Lee H, Lee D-J (2019) Numerical prediction of aerodynamic noise radiated from quadcopter unmanned aerial vehicles. In: Proceedings of INTER-NOISE and NOISE-CON Congress, InterNoise19, Madrid, Spain, 16–19 June 2019.
Lee HJ, Lee DJ (2018) Computational study of wake interaction in quadcopter unmanned aerial vehicle. In: 7th Asian/Australian Rotorcraft Forum, Jeju Island, South Korea, 30 October - 1 November 2018.
Lee H, Lee D-J (2020) Low Reynolds number effects on aerodynamic loads of a small scale wind turbine. Renew Energy 154:1283–1293. https://doi.org/10.1016/j.renene.2020.03.097
Article
Google Scholar
Lee H, Lee D-J (2019) Effects of platform motions on aerodynamic performance and unsteady wake evolution of a floating offshore wind turbine. Renew Energy 143:9–23. https://doi.org/10.1016/j.renene.2019.04.134
Article
Google Scholar
Caradonna FX, Tung C (1981) Experimental and analytical studies of a model helicopter rotor in hover. NASA Technical Memorandum NASA-TM-81232
Hand MM, Simms DA, Fingersh LJ, et al (2001) Unsteady aerodynamics experiment Phase VI: wind tunnel test configurations and available data campaigns. NREL Technical Report NREL/TP-500–29955
Gupta S, Leishman JG (2006) Performance predictions of NREL Phase VI combined experiment rotor using a free-vortex wake model. In: 44th AIAA Aerospace Sciences Meeting and Exhibit, Reno, Nevada, USA, 9–12 January 2006
Gupta S (2006) Development of a time-accurate viscous Lagrangian vortex wake model for wind turbine applications. Dissertation, University of Maryland
Bhagwat MJ, Leishman JG (2000) Stability analysis of rotor wakes in axial flight. J Am Helicopter Soc 45(3):165–178. https://doi.org/10.4050/JAHS.45.165
Article
Google Scholar
Li P, Chen R (2012) Rotor unsteady aerodynamics model using an efficient free-vortex method. Aircr Eng Aerosp Technol 84(5):311–320. https://doi.org/10.1108/00022661211255494
Kini S, Conlisk AT (2002) Nature of locally steady rotor wakes. J Aircr 39(5):750–758. https://doi.org/10.2514/2.3021
Gupta S, Leishman JG (2004) Stability of methods in the free-vortex wake analysis of wind turbines. In: 42nd AIAA Aerospace Sciences Meeting and Exhibit, Reno, Nevada, USA, 5–8 January 2004.
Bagai A, Leishman JG (1995) Rotor free-wake modeling using a pseudo implicit technique-including comparisons with experimental data. J Am Helicopter Soc 40(3):29–41. https://doi.org/10.4050/JAHS.40.29
Abedi H, Davidson L, Voutsinas S (2017) Enhancement of free vortex filament method for aerodynamic loads on rotor blades. J Sol Energy Eng 139(3):031007. https://doi.org/10.1115/1.4035887
Yeo H (2019) Design and aeromechanics investigation of compound helicopters. Aerosp Sci Technol 88:158–173. https://doi.org/10.1016/j.ast.2019.03.010
Article
Google Scholar
Alvarez EJ, Ning A (2018) Development of a vortex particle code for the modeling of wake interaction in distributed propulsion. In: AIAA AVIATION Forum and Applied Aerodynamics Conference, Atlanta, Georgia, USA, 25–29 June 2018
Alvarez EJ, Ning A (2019) Modeling multirotor aerodynamic interactions through the vortex particle method. In: AIAA Aviation Forum, Dallas, Texas, USA, 17–21 June 2018
Tan JF, Gao J, Barakos GN, Lin CL, Zhang WG, Huang MQ (2021) Novel approach to helicopter brownout based on vortex and discrete element methods. Aerosp Sci Technol 116:106839. https://doi.org/10.1016/j.ast.2021.10683
Article
Google Scholar
Huberson S, Rivoalen E, Voutsinas S (2008) Vortex particle methods in aeroacoustic calculations. J Comput Phys 227:9216–9240. https://doi.org/10.1016/j.jcp.2008.06.011
Article
MathSciNet
MATH
Google Scholar
Berdowski T, Ferreira C, Walther J (2016) 3D Lagrangian VPM: simulations of the near-wake of an actuator disc and horizontal axis wind turbine. J Phys: Conf Ser 753:032004. https://doi.org/10.1088/1742-6596/753/3/032004
Article
Google Scholar
Willis DJ, Peraire J, White JK (2007) A combined pFFT-multipole tree code, unsteady panel method with vortex particle wakes. Int J Numer Meth Fluids 53(8):1399–1422. https://doi.org/10.1002/fld.1240
Article
MathSciNet
MATH
Google Scholar