한국항공우주학회지 (Journal of the Korean Society for Aeronautical & Space Sciences)

  • 제36권11호
  • /
  • Pages.1049-1055
  • /
  • 2008
  • /
  • 1225-1348(pISSN)
  • /
  • 2287-6871(eISSN)
한국항공우주학회 (The Korean Society for Aeronautical and Space Sciences)
권호 표지
DOI QR코드

DOI QR Code

이동경계문제의 전산유체역학을 위한 체적격자변형코드

A Volume Grid Deformation Code for Computational fluid Dynamics of Moving Boundary Problems

  • 고진환 (건국대학교 항공우주정보시스템공학과) ;
  • 김지웅 (건국대학교 항공우주정보시스템공학과 대학원) ;
  • 변도영 (건국대학교 항공우주정보시스템공학과) ;
  • 박수형 (건국대학교 항공우주정보시스템공학과)
  • 발행 : 2008.11.04
PDF 다운로드
⟨ 이전 논문 다음 논문 ⟩

초록

최근 다분야 전산유체 역학에서는 설계 최적화, 공탄성, 강제 경계 운동 등에서 요구되어지는 이동경계문제를 다루게 된다. 이동경계의 변위가 클 경우 강건하고 효율적인 격자 변형 알고리즘의 개발이 필요하다. 본 연구에서는 유한 대형요소와 초월유한보간에 근거한 체적격자 변형 코드를 개발하였고, 정렬격자 다중 블록 Navier-Stokes 코드와 연계하였다. 개발된 코드의 검증을 위해 주기적으로 진동 운동을 하는 에어포일 문제에 대해 계산을 수행 하였고 양력, 항력, 모멘트 계수의 이력 계산 결과가 실험 결과와 잘 일치하였다.

Modern multidisciplinary computational fluid dynamics often incorporates moving boundaries, as would be required in the applications such as design optimization, aeroelasticity, or forced boundary motion. It is challenging to develop robust, efficient grid deformation algorithms when large displacement of the moving boundaries is required. In this paper, a volume grid deformation code is developed based on the finite macro-element and the transfinite Interpolation, and then interfaces to a structured multi-block Navier-Stokes in-house code. As demonstrated by an airfoil with pitching motion, the hysteresis loops of lift, drag and moment coefficients of the developed method are shown to be in good agreement with those of experimental data.

키워드

참고문헌

  1. Potsdam, M. A., Guruswamy, G. P., "A Parallel Multi-block Movement Scheme for Complex Aeroelastic Applications", 39th AIAA Aerospace Science Meeting and Exhibit, AIAA 2001-0716, January 8-11, 2001, Reno, NV.
  2. Hartwich, P. M. and Agrawal, S., "Methods for Perturbing Multi-block Patched Grids in Aeroelastic and Design Optimization Applications", AIAA paper 97-2038, June 1997.
  3. Nakahashi, K., Deiwert, G. S., "Three-Dimensional Adaptive Grid Method", AIAA Journal, 1986, Vol. 24, No. 6, pp. 948-954. https://doi.org/10.2514/3.9369
  4. Batina, J. T., "Unsteady Euler Airfoil Solutions Using Unstructured Dynamic Meshes", AIAA Journal, Vol. 28, No. 8, 1990, pp. 1381-1388. https://doi.org/10.2514/3.25229
  5. Nielsen, E. J., Anderson, W. Kyle, "Recent Improvement in Aerodynamic Design Optimization on Unstructured Meshes", AIAA-2001-0596, 39th AIAA Aerospace Sciences Meeting and Exhibit, January, Reno NV, 2001.
  6. Gao, X. W., Chen, P. C. and Tang, L., "Deforming Mesh for Computational Aeroelasticity Using a Nonlinear Elastic Boundary Element Method", AIAA 2001-25295, 42th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference and Exhibit, Seattle, WA, April 2001.
  7. Bartels, R. E., "Finite Macro-Element Mesh Deformation in a Structured Multi-block Navier-Stokes Code", NASA/TM-2005-213789, 2005.
  8. Blom, F. J., "Considerations on the spring analogy", International Journal for Numerical Methods in Fluids, Vol. 32, 2000, pp. 647-668. https://doi.org/10.1002/(SICI)1097-0363(20000330)32:6<647::AID-FLD979>3.0.CO;2-K
  9. MSC/NASTRAN, Reference Manual MacNeal-Schwendler Corporation USA, 2001.
  10. Tezduyar, T. E., Sathe, S., Keedy, R. and Stein, K., "Space-time finite element techniques for computation of fluid-structure interactions", Computer Methods in Applied Mechanics and Engineering, Vol. 195, 2006, pp. 2002-2027. https://doi.org/10.1016/j.cma.2004.09.014
  11. Thompson, J., Soni, B., Weatherill, N., "Handbook of Grid Generation", CRC Press, 1999, http://people.scs.fsu.edu/~burkardt/cpp_src/blend/blend.html
  12. Park, S. H., "Prediction Methods of Dynamic Stability Derivatives Using the Navier-Stokes Equations", PhD thesis, Korea Advanced Institute of Science and Technology, 2003.
  13. Park, S. H. and Kwon, J. H., "Implementation of $k-\omega$ Turbulence Models in an Implicit Multigrid Method", AIAA Journal, Vol. 42, No. 7, 2004, p. 1348-1357. https://doi.org/10.2514/1.2461
  14. Park, S. H., Kim, Y., and Kwon, J. H., "Prediction of Damping Coefficients Using the Unsteady Euler Euations", Journal of Spacecraft and Rockets, Vol. 40, No. 3, 2003, pp. 356-362. https://doi.org/10.2514/2.3970
  15. Thomas, P. D. and Lombard, C. K., "Geometric Conservation Law and Its Application to Flow Computations on Moving Grids", AIAA Journal, Vol. 17, No. 10, 1979, pp. 1030-1037. https://doi.org/10.2514/3.61273
  16. Piziali, R. A., "An Experimental Investigation of 2D and 3D Oscillating Wing Aerodynamics for a Range of Angle of Attack Including Stall", NASA Technical Memorandum 4632, 1993.