Abstract
The Discontinuous Galerkin method is a high-order method in space reducing the amount of cells needed for calculations compared to standard computational fluid dynamics (CFD) solvers. At the Institue for Aerodynamics and Gas Dynamics the CFD code SUNWinT has been developed using a DG method with the aim to apply it to rotor flows. The present study concerns the progress in simulating the flow phenomena of an isolated rotor in hover. The results of the calculations are compared to experimental data and show good agreement. Furthermore, the first phenomenological results of the flow around an isolated rotor in forward flight are presented, which reveal promising results and should serve as a starting point for future investigations.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
F. Bassi, S. Rebay, High-order accurate discontinuous finite element solution of the 2D Euler equations. J. Comput. Phys. 138, 251–285 (1997)
F. Bassi, A. Crivellini, S. Rebay, M. Savini, Discontinuous Galerkin solution of the Reynolds-averaged-Navier–Stokes and k-w turbulence model equations. Comput. Fluids 34 (2005)
E.R. Busch, M. Wurst, M. Keßler, E. Krämer, Computational aeroacoustics with higher order methods, in High Performance Computing in Science and Engineering ’12, ed. by W.E. Nagel, D.H. Kröner, M.M. Resch (Springer, Berlin, 2013)
F. Caradonna, C. Tung, Experimental and analytical studies of a model helicopter rotor in hover. Technical report TM 81232, NASA (1981)
M.A. Heroux, R.A. Bartlett, V.E. Howle, R.J. Hoekstra, J.J. Hu, T.G. Kolda, R.B. Lehoucq, K.R. Long, R.P. Pawlowski, E.T. Phipps et al., An overview of the Trilinos project. ACM Trans. Math. Softw. (TOMS) 31(3), 397–423 (2005)
F. Hindenlang, Mesh curving techniques for high order parallel simulations on unstructured meshes. Ph.D. thesis, Institut für Aerodynamik und Gasdynamik, Universität Stuttgart (2014)
G.E. Karniadakis, S.J. Sherwin (eds.), Spectral/hp Element Methods in CFD (Oxford University Press, Oxford, 1999)
E. Krämer, Theoretische Untersuchungen der stationären Rotorblattumströmung mit Hilfe eines Euler–Verfahrens. Dissertation, Institut für Luftfahrttechnik und Leichtbau, Universität der Bundeswehr München (1991)
B. Landmann, A parallel discontinuous Galerkin code for the Navier–Stokes and Reynolds-averaged Navier–Stokes equations. Ph.D. thesis, Insitut für Aerodynamik und Gasdynamik, Universität Stuttgart (2008)
C. Lübon, Turbulenzmodellierung und Detached Eddy Simulation mit einem Discontinuous Galerkin Verfahren von hoher Ordnung. Ph.D. thesis, Institut für Aerodynamik und Gasdynamik, Universität Stuttgart (2009)
D.J. Mavriplis, C.R. Nastase, On the geometric conservation law for high-order discontinuous Galerkin discretizations on dynamically deforming meshes. J. Comput. Phys. 230(11), 4285–4300 (2011). Special issue High Order Methods for CFD Problems
C.A.A. Minoli, D.A. Kopriva, Discontinuous Galerkin spectral element approximations on moving meshes. J. Comput. Phys. 230(5), 1876–1902 (2011)
P.-O. Persson, J. Bonet, J. Peraire, Discontinuous Galerkin solution of the Navier–Stokes equations on deformable domains. Comput. Methods Appl. Mech. Eng. 198(17–20), 1585–1595 (2009)
W.H. Reed, T.R. Hill, Triangular mesh methods for the neutron transport equation. Technical report, Los Alamos Scientific Laboratory (1973)
L. Schmitt, Erweiterung eines Discontinuous-Galerkin-Verfahrens auf rotierende Gitter (2012)
R. Stangl, Ein Euler–Verfahren zur Berechnung der Strömung um einen Hubschrauber im Vorwärtsflug. Dissertation, Institut für Aerodynamik und Gasdynamik, Universität Stuttgart (1996)
E.F. Toro, Riemann Solvers and Numerical Methods for Fluid Dynamics: A Practical Introduction, 2nd edn. (Springer, Berlin, 1999)
M. Wurst, Development of a high-order Discontinuous Galerkin CFD solver for moving bodies. Ph.D. thesis, Institut für Aerodynamik und Gasdynamik, Universität Stuttgart (2016)
M. Wurst, M. Kessler, E. Krämer, A High-Order Discontinuous Galerkin Chimera Method for the Euler and Navier–Stokes Equations (Chap. II.2) (2015), pp. 423–433
L. Yang, A. Yang, Implementation of spectral difference method on overset grids for compressible inviscid flows. Comput. Fluids 140, 500–511 (2016)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2021 Springer Nature Switzerland AG
About this paper
Cite this paper
Genuit, F., Keßler, M., Krämer, E. (2021). Simulation of Flow Phenomena at a Rotor with a Discontinuous Galerkin CFD Solver. In: Nagel, W.E., Kröner, D.H., Resch, M.M. (eds) High Performance Computing in Science and Engineering '19. Springer, Cham. https://doi.org/10.1007/978-3-030-66792-4_26
Download citation
DOI: https://doi.org/10.1007/978-3-030-66792-4_26
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-66791-7
Online ISBN: 978-3-030-66792-4
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)