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Simulation of Vortex Convection in a Compressible Viscous Flow with Dynamic Mesh Adaptation

Published online by Cambridge University Press:  03 June 2015

C. H. Zhou
C. H. Zhou*
Affiliation:
Department of Aerodynamics, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China
*
*Corresponding author. Email: [email protected]
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Abstract

In this work, vortex convection is simulated using a dynamic mesh adaptation procedure. In each adaptation period, the mesh is refined in the regions where the phenomena evolve and is coarsened in the regions where the phenomena deviate since the last adaptation. A simple indicator of mesh adaptation that accounts for the solution progression is defined. The generation of dynamic adaptive meshes is based on multilevel refinement/coarsening. The efficiency and accuracy of the present procedure are validated by simulating vortex convection in a uniform flow. Two unsteady compressible turbulent flows involving blade-vortex interactions are investigated to demonstrate further the applicability of the procedure. Computed results agree well with the published experimental data or numerical results.

Keywords

65M5076M99Mesh adaptationvortex-convectionblade-vortex interactionunsteady flowtime-dependent problemshock-vortex interaction
Type
Research Article
Information
Advances in Applied Mathematics and Mechanics , Volume 6 , Issue 5 , October 2014 , pp. 590 - 603
Copyright
Copyright © Global-Science Press 2014

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References

[1]Srinivasan, G. R., Mccroskey, W. J. and Beader, J. D., Aerodynamics of two-dimensional blade-vortex interaction, AIAA J., 24(10) (1986), pp. 1569–1576.Google Scholar
[2]Agarwal, R. K. and Deese, J. E., Euler calculation for flowfield of a helicopter rotor in hover, J. Aircraft, 24 (1987), pp. 231–238.Google Scholar
[3]Srinivasan, G. R. and Mccroskey, W. J., Navier-Stokes calculations of hovering rotor flow- fields, J. Aircraft, 25 (1988), pp. 865–874.CrossRefGoogle Scholar
[4]Tang, L. and Baeder, J. D., Improving Godunov-type reconstructions for simulations of vortex dominated flow, J. Comput. Phys., 213 (2006), pp. 659–675.CrossRefGoogle Scholar
[5]Wake, B. E. and Choi, D., Investigation of high-order upwinded differencing for vortex convec-tion, AIAA Paper, 95–1719, 1995.Google Scholar
[6]Oh, W. S., Kim, J. S. and Kwon, O. J., Time-accurate Navier-Stokes simulation of vortex convection using an unstructured dynamic mesh procedure, Comput. Fluids, 32 (2003), pp. 727–749.Google Scholar
[7]Baker, T. J., Adaptive modification of time evolving meshes, Comput. Methods Appl. Mech. Eng., 194 (2005), pp. 4977–5001.Google Scholar
[8]Zhou, C. H. and Ai, J. Q., Mesh adaptation for simulation of unsteady flow with moving boundaries, Int. J. Numer. Meth. Fluids, 72 (2013), pp. 453–477.Google Scholar
[9]Mariplis, D. J. and Jameson, A., Multigrid solution of the Navier-Stokes equations on triangular meshes, AIAA J., 28(8) (1990), pp. 1415–1425.CrossRefGoogle Scholar
[10]Jameson, A., Time dependent calculations using multigrid with applications to unsteady flows past airfoils and wings, AlAA Paper, 91–1596, 1991.Google Scholar
[11]Menter, F. R., Two-equation eddy-viscosity turbulence models for engineering applications, AIAA J., 32(8) (1994), pp. 1598–1605.CrossRefGoogle Scholar
[12]Mariplis, D. J. and Martinelli, L., Multigrid solution of compressible turbulent flow on un-structured meshes using a two-equation model, AIAA Paper, 91–0237, 1991.Google Scholar
[13]Alauzet, F. and Mehrenberger, M., P1-conservative solution interpolation on unstructured triangular meshes, Int. J. Numer. Meth. Eng., 84 (2010), pp. 1552–1588.Google Scholar
[14]Welfert, B. D., A Posteriori Error Estimates and Adaptive Solution of Fluid Flow Problems, PhD. Thesis of University of California at San Diego, 1990.Google Scholar
[15]Rivara, M. C., Mesh refinement processes based on the generalized bisection of simplicities, SIAM J. Numer. Anal., 21 (1984), pp. 604–613.Google Scholar
[16]Lee, S. and Bershader, D., Head-on parallel blade-vortex interaction, AIAA J., 32(1) (1994), pp. 16–22.CrossRefGoogle Scholar
[17]Lee, C. B. and Wang, S., Study of the shock motion in a hypersonic shock system/turbulent boundary layer interaction, Experiments Fluids, 19(3) (1995), pp. 143–149.Google Scholar
[18]Lee, C. B., New features ofCS solutions and the formation of vortices, Phys. Lett. A, 247(6) (1998), pp. 397–402.Google Scholar
[19]Lee, C. B., Hong, Z. X., Kachanov, Y.S., Borodulin, V. I. and Gaponenko, V. V., A study in transitional flat plate boundary layers: measurement and visualization, Experiments Fluids, 28(3) (2000), pp. 243–251.Google Scholar
[20]Lee, C. B. and Fu, S., On the formation of the chain of ring-like vortices in a transitional boundary layer, Experiments Fluids, 30(3) (2001), pp. 354–357.CrossRefGoogle Scholar
[21]Sculley, M. P., Computation of helicopter rotor wake geometry and its influence on rotor harmonic loads, Massachusetts Inst. of Technology, ASRL TR-178-1, Boston, MA, 1995.Google Scholar