Journal of computational fluids engineering (한국전산유체공학회지)

Korean Society of Computational Fluids Engineering (한국전산유체공학회)
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NUMERICAL SIMULATION OF THREE-DIMENSIONAL INTERNAL WAVES USING THE FDS SCHEME ON THE HCIB METHOD

FDS 기법과 HCIB법을 이용한 3차원 내면파 수치 모사

  • Shin, Sang-Mook (Dept. of Naval Architecture and Marine Systems Engineering, Pukyong Nat'l Univ.)
  • 신상묵 (부경대학교 조선해양시스템공학과)
  • Received : 2011.09.01
  • Accepted : 2012.02.09
  • Published : 2012.03.31
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Abstract

A code developed using the flux-difference splitting scheme on the hybrid Cartesian/immersed boundary method is applied to simulate three-dimensional internal waves. The material interface is regarded as a moving contact discontinuity and is captured on the basis of mass conservation without any additional treatment across the interface. Inviscid fluxes are estimated using the flux-difference splitting scheme for incompressible fluids of different density. The hybrid Cartesian/immersed boundary method is used to enforce the boundary condition for a moving three-dimensional body. Immersed boundary nodes are identified within an instantaneous fluid domain on the basis of edges crossing a boundary. The dependent variables are reconstructed at the immersed boundary nodes along local normal lines to provide the boundary condition for a discretized flow problem. The internal waves are simulated, which are generated by an pitching ellipsoid near an material interface. The effects of density ratio and location of the ellipsoid on internal waves are compared.

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References

  1. 2011, Song, Z.J., Teng, B., Gou, Y., Lu, L., Shi, Z.M., Xiao, Y., and Qu, Y., "Comparisons of internal solitary wave and surface wave actions on marine structures and their responses," Applied Ocean Research, Vol.33, pp.120-129. https://doi.org/10.1016/j.apor.2011.01.003
  2. 2006, Chang, Y., Zhao, F., Zhang, J., Hong, F.W., Li., P., and Yun, J., "Numerical simulation of internal waves excited by a submarine moving in the two-layer stratified fluid," Journal of Hydrodynamics, Vol.18, pp.330-336. https://doi.org/10.1016/S1001-6058(06)60074-7
  3. 2004, Shin, S., "Internal wave computations using the ghost fluid method on unstructured grid," International Journal for Numerical Methods in Fluids, Vol.47, pp.233-251. https://doi.org/10.1002/fld.806
  4. 2005, 신상묵, "비정렬 격자에서 Ghost Fluid 법을 이용한 밀도약층 주위 수중운동체에 의한 유동 해석," 한국전산 유체공학회지, Vol.10, pp.70-76.
  5. 1997, Kelecy, F.J., and Pletcher, R.H., "The development of a free surface capturing approach for multidimensional free surface flows in closed containers," Journal of Computational Physics, Vol.138, pp.939-980. https://doi.org/10.1006/jcph.1997.5847
  6. 2010, 신상묵, 김인철, 김용직, "Roe의 flux-difference splitting 기법을 이용한 자유표면 유동 모사," 대한조선학회 논문집, Vol.47, pp.11-19. https://doi.org/10.3744/SNAK.2010.47.1.011
  7. 2005, Gilmanov, A., and Sotiropoulos, F., "A hybrid Cartesian/immersed boundary method for simulating flows with 3D, geometrically complex, moving bodies," Journal of Computational Physics, Vol.207, pp.457-492. https://doi.org/10.1016/j.jcp.2005.01.020
  8. 2007, Shin, S., Bae, S.Y., Kim, I.C., Kim, Y.J., and Goo, J.S., "Computations of flow over a flexible plate using the hybrid Cartesian/immersed boundary method," International Journal for Numerical Methods in Fluids, Vol.55, pp.263-282. https://doi.org/10.1002/fld.1459
  9. 2008, 신상묵, 노인식, "3차원 HCIB법을 이용한 회전하면서 변형하는 날개 주위 유동해석," 대한조선학회논문집, Vol.45, pp.379-388. https://doi.org/10.3744/SNAK.2008.45.4.379
  10. 2007, 신상묵, "HCIB법을 이용한 변형하는 평판 주위의 3차원 유동해석," 한국전산유체공학회지, Vol.12, pp.1-8.
  11. 2012, Shin, S., Bae, S.Y., Kim, I.C., Kim, Y.J., and Yoon, H.K., "Simulation of free surface flows using the flux-difference splitting scheme on the hybrid Cartesian/immersed boundary method," International Journal for Numerical Methods in Fluids, Vol.68, pp.360-376. https://doi.org/10.1002/fld.2519
  12. 2012, Shin, S., "Numerical simulation of internal waves generated by a translating and pitching foil," Ocean Engineering, submitted.
  13. 2006, Nakayama, K., "Comparisons of CIP, compact and CIP-CSL2 schemes for reproducing internal solitary waves," International Journal for Numerical Methods in Fluids, Vol.33, pp.203-222. https://doi.org/10.1002/(SICI)1097-0363(20000530)33:2<203::AID-FLD9>3.0.CO;2-F
  14. 2010, Cheng, M.H., and Hsu, J.R.C., "Laboratory experiments on depression interfacial solitary waves over a trapezoidal obstacle with horizontal plateau," Ocean Engineering, Vol.37, pp.800-818. https://doi.org/10.1016/j.oceaneng.2010.02.016
  15. 2007, Gao, F., Ingram, D.M., Causon, D.M., Mingham, C.G., "The development of a Cartesian cut cell method for incompressible viscous flow," International Journal for Numerical Methods in Fluids, Vol.54, pp.1033-1053. https://doi.org/10.1002/fld.1409
  16. 2006, Qian, L, Causon, D.M., Mingham, C.G., and Ingram, D.M, "A free-surface capturing method for two fluid flow with moving bodies," Proceedings of the Royal Society A, Vol.462, pp.21-42. https://doi.org/10.1098/rspa.2005.1528
  17. 2009, Shin, S., Bae, S.Y., Kim, I.C., and Kim, Y.J., "Effects of flexibility on propulsive force acting on a heaving foil," Ocean Engineering, Vol.36, pp.285-294. https://doi.org/10.1016/j.oceaneng.2008.12.002

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