Focusing on the rotating motion and vortex flow of rotors
a dual grid modelling method is discussed
in which body fitted moving structured grids are used to capture the boundary layer flow and background grids with adaptive mesh refinement (AMR) are used for the blade tip vortex flow. A method of generating block structured Cartesian grids is developed
in which the grid refinement or coarsening is performed on blocks with identical grid dimensions. All Cartesian blocks are organized by the octree data structure and spatial filling Z curves
which meets the requirements of adaptive refinement and parallel partition. The dual grid method is applied for the UH-60A rotor simulation. The initial Cartesian background grid is automatically generated with the body fitted blade grid as the input. For rotor flows in hovering and forward flight conditions
the Landgrebe and Beddoes wake models are introduced respectively to adaptively refine the background grids. The maximum allowed number of grid layer is 9 and the grid spacing for the tip vortex filament in the target area is 1% of the chord length. Results show that the present Cartesian grid adaptive method is able to flexibly refine or coarsen grids for the blade tip vortex by controlling the maximum refinement level
the size and grid spacing of the target refinement area for the vortex capturing. The present AMR method is highly efficient in grid adjustment
and shows convincing prospects in improving the simulation accuracy of unsteady blade tip vortices.
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references
JOHNSON W. Milestones in rotorcraft aeromechanics[R ] . NASA/TP-2011-215971, 2011. https://rotorcraft.arc.nasa.gov/Johnson_TP-2011-215971_final.pdf
PULLIAM T H, JESPESEN D C. Large scale aerodynamic calculation on Pleiades[R ] . NAS-09-004, 2009. https://www.nas.nasa.gov/assets/pdf/techreports/2009/nas-09-004.pdf
HARIHARAN N S, EGOLF T A, SANKAR L N. Simulation of rotor in hover: Current state and challenges[C]//52nd Aerospace Sciences Meeting, 2014. AIAA 2014-0041. doi: 10.2514/6.2014-0041
ABRAS J, HARIHARAN N S, NARDUCCI R P. Wake breakdown of high-fidelity simulations of a rotor in hover[C]//AIAA Scitech 2019 Forum, San Diego, California. Reston, Virginia: AIAA, 2019. doi: 10.2514/6.2019-0593
TANG Z G, CHEN H, BI L, et al. Numerical simulation of supersonic viscous flow based on adaptive Cartesian grid[J]. Acta Aeronautica et Astronautica Sinica, 2018, 39(5): 121697. (in Chinese)
SANG S H, SUN Z H, CHEN R L, et al. Computing flows around rotor by using time-depended adaptive grid based on unstructured-Cartesian overset mesh system[J]. Journal of Nanjing University of Aeronautics Astronautics, 2018, 50(4): 528-535. (in Chinese)
DUBEY A, ALMGREN A, BELL J, et al. A survey of high level frameworks in block-structured adaptive mesh refinement packages[J]. Journal of Parallel and Distributed Computing, 2014, 74(12): 3217-3227. DOI:10.1016/j.jpdc.2014.07.001
KIRK B S, PETERSON J W, STOGNER R H, et al. libMesh: a C++ library for parallel adaptive mesh refinement/coarsening simulations[J]. Engineering With Computers, 2006, 22(3-4): 237-254. DOI:10.1007/s00366-006-0049-3
BURSTEDDE C, WILCOX L C, GHATTAS O. p4est: scalable algorithms for parallel adaptive mesh refinement on forests of octrees[J]. SIAM Journal on Scientific Computing, 2011, 33(3): 1103-1133. DOI:10.1137/100791634
CO LELLA P, GRAVES D T. Chombo software package for AMR applications design document[R ] . Lawrence Berkeley National Laboratory Deposit Manage, 2013. https://crd.lbl.gov/assets/pubs_presos/chomboDesign.pdf
MACNEICE P, OLSON K M, MOBARRY C, et al. PARAMESH: a parallel adaptive mesh refinement community toolkit[J]. Computer Physics Communications, 2000, 126(3): 330-354. DOI: 10.1016/S0010-4655(99)00501-9
WISSINK A M, HORNUNG R D, KOHN S R, et al. Large scale parallel structured AMR calculations using the SAMRAI framework[C]//SC '01: Proceedings of the 2001 ACM/IEEE Conference on Supercomputing, Denver, CO, USA. IEEE, 2001: 22. doi: 10.1145/582034.582040
JI H, LIEN F S, YEE E. Parallel adaptive mesh refinement combined with additive multigrid for the efficient solution of the Poisson equation[J]. ISRN Applied Mathematics, 2012, 2012: 1-24. DOI:10.5402/2012/246491
KAMKAR S J, WISSINK A M, JAMESON A, et al. Feature-driven cartesian adaptive mesh refinement in the helios code[C ] //48th AIAA Aerospace Sciences Meeting Including the New Horizons Forum and Aerospace Exposition, Orlando, Florida, 2010. AIAA 2010-171. http://aero-comlab.stanford.edu/Papers/AIAA-2010-171-748.pdf
LIU C Q. Liutex-third generation of vortex definition and identification methods[J]. Acta Aerodynamica Sinica, 2020, 38(3): 413-431, 478. (in Chinese)
BEDDOES T S. A wake model for high resolution airloads[C ] //Proceedings of the 2 nd international conference on basic rotorcraft research, Triangle Park, USA, 1985.