Singular Cell Adaptive Method for Adaptively Refined Cartesian Grid in the Simulation of Flow around Airfoil

Abstract:

A novel adaptive method for singular geometric regions was proposed. Combined with conventional cut cell adaption, curvature cell adaption and solution adaption, adaptively refined Cartesian grid was automatically generated after geometries had been specified by users. Solid wall boundary was implemented by ghost body-cell method which efficiently relieved the time step restriction of small cut cells. Flow field was well resolved on adaptively refined Cartesian grid with finite volume method. Transonic flow around the RAE2822 airfoil and subsonic flow around the Suddhoo four-element airfoil are carefully investigated, which validate the efficiency of current approach and its feasibility in complicated geometric regions.

• Periodical: Applied Mechanics and Materials (Volumes 275-277)
• Pages: 537-542
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.275-277.537
• Online since: January 2013
• Authors: Yu Qi Han, Lin Gao, Ge Gao
• Keywords: Adaption, Airfoil, Cartesian Grid, Computational Fluid Dynamics (CFD), Singular Cell

References

[1] G. Buttazzo and A. Frediani: Variational analysis and aerospace engineering (Springer, U.S.A 2009), pp.2-6.

[2] M.J. Beger and M.J. Aftosmis: Proceedings of 16th International Conference on Numerical Methods in Fluid Dynamics (1998), pp.1-12.

[3] G. Warren, W.K. Anderson, J. Thomas and S. Krist: Proceedings of 10th AIAA Computational Fluid Dynamics Conference (1991), pp.729-741.

[4] D.A. Venditti and D.L. Damofal: Journal of Computational Physics, Vol. 176 (2002), pp.40-69.

[5] W.J. Coirier and K.G. Powell: Journal of Computational Physics, Vol. 117 (1995), pp.121-131.

[6] E. Uzgoren, R. Singh, J. Sim and W. Shyy: Progress in Aerospace Sciences, Vol. 43 (2007), pp.138-192.

DOI: 10.1016/j.paerosci.2007.06.003

[7] R. Singh and W. Shyy: Journal of Computational Physics, Vol. 224 (2007), pp.150-167.

[8] D.D. Zeeuw and K.G. Powell: Journal of Computational Physics, Vol. 101 (1992), pp.453-454.

[9] M.S. Liou: Journal of Computational Physics, Vol. 214 (2006), pp.137-170.

[10] A. Dadone and B. Grossman: AIAA Journal, Vol. 42 (2004), pp.2499-2507.

[11] E.M. Saiki and S. Biringen: Journal of Computational Physics, Vol. 123 (1996), pp.450-465.

[12] R. Ghias, R. Mittal and H. Dong: Journal of Computational Physics, Vol. 225 (2007), pp.528-553.

[13] H. Yoshihara and P. Sacher: Advisory Group for Aerospace Research and Development (AGARD)-AR-211 (1985), pp.652-659.

[14] A. Suddhoo and I.M. Hall: Aeronautical Journal, Vol. 89 (1985), pp.403-414.