비정렬 혼합 격자계에서 신속 격자 변형 기법을 이용한 비정상 점성 유동 해석

NUMERICAL ANALYSIS OF UNSTEADY VISCOUS FLOWS USING A FAST GRID DEFORMATION TECHNIQUE ON HYBRID UNSTRUCTURED MESHES

  • 이희동 (한국과학기술원 대학원 항공우주공학과) ;
  • 정문승 (한국과학기술원 대학원 항공우주공학과) ;
  • 권오준 (한국과학기술원 항공우주공학과)
  • 발행 : 2009.09.30

초록

In the present study, a fast grid deformation technique has been incorporated into the unsteady compressible and incompressible viscous flow solvers on unstructured hybrid meshes. An algebraic method based on the basis decomposition of normal edge vector was used for the deformation of viscous elements, and a ball-vertex spring analogy was adopted for inviscid elements among several spring analogy methods due to its robustness. The present method was validated by comparing the results obtained from the grid deformation and the rigid motion of entire grids. Fish swimming motion of an NACA0012 airfoil and flapping wing motion of a generic fighter were also simulated to demonstrate the robustness of the present grid deformation technique.

키워드

참고문헌

  1. 1996, Liu, H., Wassersug, R.J. and Kawachi, K., "A Computational Fluid Dynamics Study of Tadpole swimming," Journal of Experimental Biology, Vol.199, pp.1245-1260
  2. 1999, Liu, H. and Kawachi, K., "A Numerical Study of Undulatory Swimming," Journal of Computational Physics, Vol.155, pp.223-247 https://doi.org/10.1006/jcph.1999.6341
  3. 1991, Batina, J.T., "Unsteady Euler Algorithm with Unstructured Dynamic Mesh for Complex-Aircraft Aerodynamic Analysis," AIAA Journal, Vol.29, No.3,pp.327-333 https://doi.org/10.2514/3.10583
  4. 1998, Fahat, C., Degand, C., Koobus, B. and Lesoinne, M., "Torsional Springs for Two-dimensional Dynamic Unstructured Fluid Meshes," Computer Methods in Applied Mechanics and Engineering, Vol.163, pp.231-245 https://doi.org/10.1016/S0045-7825(98)00016-4
  5. 2002, Degand, C. and Fahat, C., "A Three-Dimensional Torsional Spring Analogy Method for Unstructured Meshes," Computers and Structures, Vol.80, pp.305-316 https://doi.org/10.1016/S0045-7949(02)00002-0
  6. 2004, Burg, C., "A Robust Unstructured Grid Movement Strategy Using Three-Dimensional Torsional Springs," AIAA Paper 2004-2529
  7. 2005, Bottasso, C.L., Detomi, D. and Serra, R., "The Ball-vertex Method: A New Simple Spring Analogy Method for Unstructured Dynamic Meshes," Computer Methods in Applied Mechanics and Engineering, Vol.194, pp.4244-4264 https://doi.org/10.1016/j.cma.2004.08.014
  8. 2007, Acikgoz, N. and Bottasso, C.L., "A Unified Approach to the Deformation of Simplicial and Non-Simplicial Meshes in Two and Three Dimensions with Guaranteed Validity," Computers and Structures, Vol.85, pp.944-954 https://doi.org/10.1016/j.compstruc.2006.11.009
  9. 2005, Kholodar, D.B., Morton, S.A. and Cummings, R.M., "Deformation of Unstructured Viscous Grids," AIAA Paper 2005-0926
  10. 1995, Jones, W.T. and Samareh-Abolhassani, J., "A Grid Generation System for Multi-Displinary Design Optimization," AIAA Paper 1995-1689
  11. 1996, Reuther, J., Jameson, A., Farmer, J., Martinelli, L. and Saunders, D., "Aerodynamics Shape Optimization of Complex Aircraft Configurations via an Adjoint Formulation," AIAA Paper 1996-0094
  12. 2000, Nakahashi, K., Togashi, F. and Sharov, D.,"Intergrid-Boundary Definition Method for Overset Unstructured Grid Approach," AIAA Journal, Vol.38, No.11, pp.2077-2084 https://doi.org/10.2514/2.869
  13. 2005, 정문승, 권오준, "상대운동이 있는 물체주위의 비정상 유동해석을 위한 병렬화된 비정렬 중첩격자기법 개발," 한국항공우주학회지, Vol.33, No.2, pp.1-10 https://doi.org/10.5139/JKSAS.2005.33.2.001
  14. 2000, Blom, F.J., "Considerations on the Spring Analogy," International Journal for Numerical Methods in Fluids, Vol.32, pp.647-668 https://doi.org/10.1002/(SICI)1097-0363(20000330)32:6<647::AID-FLD979>3.0.CO;2-K
  15. 2004, 김주성, 권오준, "변형되는 비정렬 격자계를 이용한 삼차원 비정상 점성 유동 계산 기법 개발," 한국전산유체 공학회지, Vol.9, No.2, pp.52-61
  16. 1996, Venkatakrishnan, V. and Mavriplis, D.J., "Implicit Method for the Computation of Unsteady Flows on Unstructured Grids," Journal of Computational Physics, Vol.127, pp.380-397 https://doi.org/10.1006/jcph.1996.0182
  17. 1999, Nielsen, E.J. and Anderson, W.K., "Aerodynamic Design Optimization on Unstructured Meshes Using the Navier-Stokes Equations," AIAA Journal, Vol.37, No.11, pp.1411-1419 https://doi.org/10.2514/2.640
  18. 2007, 정문승, 권오준, "비정렬 혼합 격자계 기반의 삼차원 점성 유동해석코드 개발," 한국항공우주학회지, Vol.35, No.8, pp.677-684 https://doi.org/10.5139/JKSAS.2007.35.8.677
  19. 2008, 정문승, 권오준, "삼차원 정상/비정상 비압축성 유동해석을 위한 비정렬 혼합격자계 기반의 유동해석 코드개발," 한국전산유체공학회지, Vol.13, No.2, pp.27-41
  20. 1982, Landon, R.H., "NACA0012 Oscillatory and Transient Pitching," Compendium of Unsteady Aerodynamic Measurements, AGARD Report, No.702
  21. 1993, Videler, J.J., Fish Swimming, Chapman & Hall, London
  22. 2007, Shu, C., Liu, N., Chew, Y. and Lu, Z., "Numerical Simulation of Fish Motion by Using Lattice Boltzmann-Immersed Boundary Velocity Correction Method," Journal of Mechanical Science and Technology, Vol.199, pp1245-1260
  23. 1985, Wassersug, R.J. and Hoff, K., "The Kinematics of Swimming in Anuran Larvae," Journal of Experimental Biology, Vol.119, pp.1-30