Abstract
This chapter provides a detailed method for building an unsteady 3D CFD model with multiple embedded and adjacent rotating geometries. This is done relying solely on open-source software from the OpenFOAM\(^{\textregistered }\) package. An emphasis is placed on interface meshing and domain decomposition for parallel solutions. The purpose of the model is the aerodynamic analysis of a quadrotor cyclogyro. The challenging features of this aircraft consist of a series of pairwise counterrotating rotors, each consisting of blades that oscillate by roughly 90\(^\circ \) about their own pivot point. The task is complicated by the presence of solid features in the vicinity of the rotating parts. Adequate mesh tuning is required to properly decompose the domain, which has two levels of sliding interfaces. The favored decomposition methods are either to simply divide the domain along the vertical and longitudinal axes or to manually create sets of cell faces that are designated to be held in a single processor domain. The model is validated with wind tunnel data from a past and finished project for a series of flight velocities. It agrees with the experiment in regard to the magnitude of vertical forces, but only in regard to the trend for longitudinal forces. Comparison of past wind tunnel video footage and CFD field snapshots validates the features of the flow. The model uses the laminar Euler equations and gives a nearly linear speedup on up to fourĀ processors, requiring 1 day to attain periodic stability.
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Notes
- 1.
The septernion is a seven component array used in OpenFOAM\(^{\textregistered }\) composed of a translation vector and a rotation quaternion.
References
Barrass C (2004) Chapter 22 - Improvements in propeller performance. In: Barrass C (ed) Ship Design and Performance for Masters and Mates, Butterworth-Heinemann, Oxford, pp 218ā227, 10.1016/B978-075066000-6/50024-6, URL http://www.sciencedirect.com/science/article/pii/B9780750660006500246
Benedict M, Ramasamy M, Chopra I, Leishman JG (2009) Experiments on the Optimization of MAV-Scale Cycloidal Rotor Characteristics Towards Improving Their Aerodynamic Performance. In: American Helicopter SocietyInternational Specialist Meeting on Unmanned Rotorcraft, Phoenix, Arizona
Benedict M, Ramasamy M, Chopra I, Leishman JG (2010) Performance of a Cycloidal Rotor Concept for Micro Air Vehicle Applications. Journal of the American Helicopter Society 55(2):022,002ā1ā14, https://doi.org/10.4050/JAHS.55.022002
Benedict M, Mattaboni M, Chopra I, Masarati P (2011) Aeroelastic Analysis of a Micro-Air-Vehicle-Scale Cycloidal Rotor. AIAA Journal 49(11):2430ā2443, https://doi.org/10.2514/1.J050756
Calderon DE, Cleaver D, Wang Z, Gursul I (2013) Wake Structure of Plunging Finite Wings. In: 43rd AIAA Fluid Dynamics Conference
Chevalier C, Pellegrini F (2008) Pt-scotch: A tool for efficient parallel graph ordering. Parallel Computing 34(6ā8):318ā331, https://doi.org/10.1016/j.parco.2007.12.001, URL http://www.sciencedirect.com/science/article/pii/S0167819107001342, parallel Matrix Algorithms and Applications
Darrieus GJM (1931) Turbine having its rotating shaft transverse to the flow of the current. URL https://encrypted.google.com/patents/US1835018, US Patent 1,835,018
El-Samanoudy M, Ghorab AAE, Youssef SZ (2010) Effect of some design parameters on the performance of a Giromill vertical axis wind turbine. Ain Shams Engineering Journal 1(1):85ā95
Farrell P, Maddison J (2011) Conservative interpolation between volume meshes by local Galerkin projection. Computer Methods in Applied Mechanics and Engineering 200(1ā4):89ā100, https://doi.org/10.1016/j.cma.2010.07.015, URL http://www.sciencedirect.com/science/article/pii/S0045782510002276
Gagnon L, Morandini M, Quaranta G, Muscarello V, Bindolino G, Masarati P (2014a) Cyclogyro Thrust Vectoring for Anti-Torque and Control of Helicopters. In: AHS 70th Annual Forum, MontrƩal, Canada
Gagnon L, Quaranta G, Morandini M, Masarati P, Lanz M, Xisto CM, PƔscoa JC (2014b) Aerodynamic and Aeroelastic Analysis of a Cycloidal Rotor. In: AIAA Modeling and Simulation Conference, Atlanta, Georgia
Gagnon L, Morandini M, Quaranta G, Muscarello V, Masarati P (2016) Aerodynamic models for cycloidal rotor analysis. J of Aircraft Engineering and Aerospace Technology 88(2):215ā231
Gagnon L, Quaranta G, Schwaiger M, Wills D (2017) Aerodynamic analysis of an unmanned cyclogiro aircraft. submitted to SAE Tech Papers
Gagnon, L (2014a) Interface within an interface c++ code. http://www.cfd-online.com/Forums/openfoam-solving/124586-dynamic-mesh-within-dynamic-mesh.html#post476869, last accessed Feb. 2016
Gagnon, L (2014b) Slip moving wall boundary condition c++ code. http://www.cfd-online.com/Forums/openfoam-solving/105274-free-slip-moving-wall-bc.html#post509989, last accessed Feb. 2016
Gibbens R (2003) Improvements in Airship Control Using Vertical Axis Propellers. In: Proceedings of AIAAās 3rd Annual Aviation Technology, Integration, and Operations (ATIO) Forum, https://doi.org/10.2514/6.2003-6853
Gibbens R, Boschma J, Sullivan C (1999) Construction and testing of a new aircraft cycloidal propeller. In: Proceedings of 13th Lighter-Than-Air Systems Technology Conference., https://doi.org/10.2514/6.1999-3906
Greenshields, C (2016) OpenFOAM\(^{\textregistered }\) User Guide: 5.4 Mesh generation, snappyHexMesh. http://cfd.direct/openfoam/user-guide/snappyhexmesh/, last accessed Sept. 2016
Hwang IS, Lee HY, Kim SJ (2009) Optimization of cycloidal water turbine and the performance improvement by individual blade control. Applied Energy 86(9):1532ā1540
Ilieva G, PĆ”scoa JC, Dumas A, Trancossi M (2012) A critical review of propulsion concepts for modern airships. Central European Journal of Engineering 2(2):189ā200, https://doi.org/10.2478/s13531-011-0070-1
Kim JW, Park SH, Yu YH (2009) Euler and Navier-Stokes Simulations of Helicopter Rotor Blade in Forward Flight Using an Overlapped Grid Solver. In: 19th AIAA Computational Fluid Dynamics Conference Proceedings, paper AIAA 2009-4268
Koschorrek P, Siebert C, Haghani A, Jeinsch T (2015) Dynamic Positioning with Active Roll Reduction using Voith Schneider Propeller. IFAC-PapersOnLine 48(16):178ā183, https://doi.org/10.1016/j.ifacol.2015.10.277, URL http://www.sciencedirect.com/science/article/pii/S2405896315021680, 10th IFAC Conference on Manoeuvring and Control of Marine Craft MCMC 2015Copenhagen, 24ā26 August 2015
Leger JA, PƔscoa JC, Xisto CM (2016) Aerodynamic Optimization of Cyclorotors. Accepted by J of Aircraft Engineering and Aerospace Technology
Lind A, Jarugumilli T, Benedict M, Lakshminarayan V, Jones A, Chopra I (2014) Flow field studies on a micro-air-vehicle-scale cycloidal rotor in forward flight. Experiments in Fluids 55(12):1826, https://doi.org/10.1007/s00348-014-1826-1
MaĆ®tre T, Amet E, Pellone C (2013) Modeling of the flow in a Darrieus water turbine: Wall grid refinement analysis and comparison with experiments. Renewable Energy 51:497ā512
McNabb ML (2001) Development of a Cycloidal Propulsion Computer Model and Comparison with Experiment. Masterās thesis, Mississippi State University
Schwaiger M (2010) Aircraft: US Patent 7735773 B2. http://www.freepatentsonline.com/7735773.html, last accessed Feb. 2016
Schwaiger M (2014) Aeroplane: US Patent USD709430 S1. http://patents.google.com/patent/USD709430S1, last accessed Feb. 2016
Xisto CM, PƔscoa JC, Leger JA, Masarati P, Quaranta G, Morandini M, Gagnon L, Wills D, Schwaiger M (2014) Numerical modelling of geometrical effects in the performance of a cycloidal rotor. In: 6th European Conference on Computational Fluid Dynamics, Barcelona, Spain
Yun CY, Park IK, Lee HY, Jung JS, H IS (2007) Design of a New Unmanned Aerial Vehicle Cyclocopter. Journal of the American Helicopter Society 52(1)
Acknowledgements
The research presented in this paper was supported by the Austrian Research Promotion Agency (FFG) Basis programe research grant #849514: Entwicklung des Fluggertes D-Dalus L2 als eigenstabil flugfƤhigen Prototypen.
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Gagnon, L., Quaranta, G., Schwaiger, M. (2019). Open-Source 3D CFD of a Quadrotor Cyclogyro Aircraft. In: NĆ³brega, J., Jasak, H. (eds) OpenFOAMĀ® . Springer, Cham. https://doi.org/10.1007/978-3-319-60846-4_27
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