Summary
A vortex-lattice method is presented that allows the calculation of the flow around n-bladed rotor configurations using a time-dependant wake-shedding procedure. Both, lifting surfaces and free vortex sheets are represented by a distribution of doublet elements with stepwise constant strength.
Beginning with an impulsive start of the configuration the development of all free shear layers is described step by step marching forward in time until a periodic solution for the flowfield and the blade loads is reached.
All boundary conditions — except the kinematic flow condition at the rotor blade collocation points — are implicitely satisfied by the singularity model. A special procedure is used for the update of the geometry of the free vortex sheets so that the numerical problems resulting from the application of Biot-Savart’s law can be avoided.
To minimize the computational effort a far wake simplification is introduced that allows coupling of shedded vorticity to large systems of closed vortex rings.
The basic equations, boundary conditions and numerical procedures are discussed. The numerical procedure is validated by comparison with experimental data.
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References
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© 1992 Springer Fachmedien Wiesbaden
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Röttgermann, A., Behr, R., Schöttl, C., Wagner, S. (1992). Calculation of Blade-Vortex Interaction of Rotary Wings in Incompressible Flow by an Unsteady Vortex-Lattice Method Including Free Wake Analysis. In: Hackbusch, W. (eds) Numerical Techniques for Boundary Element Methods. Notes on Numerical Fluid Mechanics (NNFM), vol 33 7. Vieweg+Teubner Verlag, Wiesbaden. https://doi.org/10.1007/978-3-663-14005-4_15
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DOI: https://doi.org/10.1007/978-3-663-14005-4_15
Publisher Name: Vieweg+Teubner Verlag, Wiesbaden
Print ISBN: 978-3-528-07633-7
Online ISBN: 978-3-663-14005-4
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