DOI QR코드

DOI QR Code

A MULTI-DOMAIN APPROACH FOR A HYBRID PARTICLE-MESH METHOD

Hybrid Particle-Mesh 방법에 적합한 다중영역 방법

  • Lee, Seung-Jae (Research Institute of Marine System Engineering, Seoul National University) ;
  • Suh, Jung-Chun (Research Institute of Marine System Engineering, Seoul National University)
  • 이승재 (서울대학교 해양시스템공학연구소) ;
  • 서정천 (서울대학교 해양시스템공학연구소)
  • Received : 2014.02.27
  • Accepted : 2014.06.16
  • Published : 2014.06.30

Abstract

A hybrid particle-mesh method as the combination between the Vortex-In-Cell (VIC) method and penalization method has been achieved in recent years. The VIC method, which is based on the vorticity-velocity formulation, offers particle-mesh algorithms to numerically simulate flows past a solid body. The penalization method is used to enforce boundary conditions at a body surface with a decoupling between body boundaries and computational grids. The main advantage of the hybrid particle-mesh method is an efficient implementation for solid boundaries of arbitrary complexity on Cartesian grids. However, a numerical simulation of flows in large domains is still not too easy. In this study, a multi-domain approach is thus proposed to further reduce computation cost and easily implement it. We validate the implementation by numerical simulations of an incompressible viscous flow around an impulsively started circular cylinder.

Keywords

References

  1. 1963, Lighthill, M. J., Introduction, boundary layer theory, Laminar boudanry layers, edited by J. Rosenhead, Oxford University Press, New York, pp.54-61.
  2. 1967, Batchelor, G. K., An intriduction to fluid dynamics, Cambridge University Press, Cambridge.
  3. 1980, Bouard, R., and Coutanceau, M., "The early stage of development of the wake behind an impulsively started circular cylinder for 40 < Re < 104," J. Fluid Mech., Vol.101, pp.586-607.
  4. 1989, Sarpkaya, T., "Computational methods with vortices: the 1988 freeman scholar lecture," J. Fluids Eng., Vol. 111(1), pp.5-52. https://doi.org/10.1115/1.3243601
  5. 1995, Koumoutsakos, P.D., and Leonard, A., "high-resolution simulations of the flow around an impulsively started cylinder using vortex methods," J. Fluid Mech., Vol.296, pp.1-38. https://doi.org/10.1017/S0022112095002059
  6. 1999, Angot, P., Brunear, C.-H., and Fabrie, P., "A penalization method to take into account obstacles in incompressible viscous flows," Numer. Math., Vol.81, pp.497-520. https://doi.org/10.1007/s002110050401
  7. 2000, Cottet, G.-H. and Koumoutsakos, P. D.. Vortex methods: theory and pratice, Cambridge University Press, Cambridge.
  8. 2002, Guilmineau, E., and Queutey, P., "A numerical simulation of vortex shedding from an oscillating circular cylinder," J Fluid Struct, Vol.16, pp.773-794. https://doi.org/10.1006/jfls.2002.0449
  9. 2005, Lee, S.-J., "Numerical simulation of single dynamics with two-way coupling using the Lagrangian vortex method," Ph.D Thesis, Seoul National University.
  10. 2007, Liu, Q., and Vasilyev, O.V., "A Brinkman penalization method for compressible flows in complex geometries," J. Comput. Phys., Vol.227, pp.946-966. https://doi.org/10.1016/j.jcp.2007.07.037
  11. 2010, Cottet, G.-H., Gallizio, F., Magni, A., and Mortazavi, I., "A vortex immersed boundary method for bluff body flows," Proceedings of 3rd Joint US-European ASME Fluids Enigineering Summer Meeting, Sympoisum on Development and Applications of Immersed Boundary Methods, Canada.
  12. 2011, Rasmussen, J.T., Cottet, G.-H., and Walther, J.H., "A multiresolution remeshed vortex-in-cell algorithm using patches," J. Comput. Phys., Vol.230, pp.6742-6755. https://doi.org/10.1016/j.jcp.2011.05.006
  13. 2012, Kim, Y.-C., Suh, J.-C., and Lee, K.-J., "Vortex-in-cell method combined with a boundary element method for incompressible viscous flow analysis," Int. J. Numer. Meth. Fluids, Vol.69, pp.1567-1583. https://doi.org/10.1002/fld.2649
  14. 2013, Huang, C.-H. and Huang M.-J., "A vortex method suitable for long time simulations of flow over body of arbitrary geometry," Computers & Fluids, Vol.74, pp.1-12. https://doi.org/10.1016/j.compfluid.2013.01.005

Cited by

  1. Vortex Shedding Frequency for a 2D Hydrofoil with a Truncated Trailing Edge vol.51, pp.6, 2014, https://doi.org/10.3744/SNAK.2014.51.6.480
  2. Numerical Investigation on Vortex Shedding from a Hydrofoil with a Beveled Trailing Edge vol.2015, pp.1687-5605, 2015, https://doi.org/10.1155/2015/565417
  3. Penalized VIC 방법에서 장시간 유동 해석을 위한 원거리 와도 입자 처리 vol.22, pp.1, 2014, https://doi.org/10.6112/kscfe.2017.22.1.051