복잡한 형상에 관한 삼차원 변형 Multi-Block 정렬격자 프로그램 개발

DEVELOPMENT OF A THREE-DIMENSIONAL MULTI-BLOCK STRUCTURED GRID DEFORMATION CODE FOR COMPLEX CONFIGURATIONS

  • ;
  • 이영민 (경상대학교 대학원 기계항공공학부 항공우주공학) ;
  • 정성기 (경상대학교 대학원 기계항공공학부 항공우주공학) ;
  • ;
  • 명노신 (경상대학교 기계항공공학부 및 항공기부품기술연구소)
  • 발행 : 2007.12.31

초록

In this study, a multi-block structured grid deformation code based on a hybrid of a transfinite interpolation algorithm and spring analogy was developed. The configuration was modeled by a Bezier surface. A combination of the spring analogy for block vertices and the transfinite interpolation for interior grid points helps to increase the robustness and makes it suitable for distributed computing. An elliptic smoothing operator was applied to the block faces with sub-faces in order to maintain the grid smoothness and skewness. The capability of this code was demonstrated on a range of simple and complex configurations including an airfoil and a wing-body configuration.

키워드

참고문헌

  1. 2001, Tsai. H.M., Wong. A.S.F., Cai. J., Zhu. Y. and Liu. F., "Unsteady flow calculation with a parallel moving mesh algorithm," AIAA Journal, Vol.39, No.6, pp.1021-102 https://doi.org/10.2514/2.1442
  2. 2000, Dubuc. L., Cantariti. F., Woodgate. M., Gribben. B., Badcock. K.J. and Richards. B.E., "A grid deformation technique for unsteady flows computation," International Journal for Numerical Method in Fluids, Vol.32, pp.285-311 https://doi.org/10.1002/(SICI)1097-0363(20000215)32:3<285::AID-FLD939>3.0.CO;2-C
  3. 2002, Spekreijse. S.P., Prananta. B.B. and Kok. J.C., "A simple, robust and fast algorithm to compute deformations of multi-block structured grids," National Aerospace Laboratory NLR, NLR-TP-2002-105
  4. 1990, Batina. J.T., "Unsteady Euler airfoil solutions using unstructured dynamic meshes," AIAA Journal, Vol.28, No.8, pp.1381-1388 https://doi.org/10.2514/3.25229
  5. 2000, Bloom. F.J., "Considerations on the spring analogy," International Journal for Numerical Methods in Fluid, Vol.32, pp.647-668 https://doi.org/10.1002/(SICI)1097-0363(20000330)32:6<647::AID-FLD979>3.0.CO;2-K
  6. 2005, Zeng. D. and Ethier. C.R., "A semi-torsional spring analogy model for updating unstructured meshes in 3D moving domains," Finite Elements in Analysis and Design, Vol.41, pp.1118-1139 https://doi.org/10.1016/j.finel.2005.01.003
  7. 2006, Markou. G.A., Mouroutis. Z.S., Charmpis. D.C. and Papadrakakis. M., "The ortho-semi-torsional (OST) spring analogy method for 3D mesh moving boundary problems," Computer Methods in Applied Mechanics and Engineering, Vol.196, pp.747-765 https://doi.org/10.1016/j.cma.2006.04.009
  8. 2002, Samareh. J.A., "Application of quaternions for mesh deformation," NASA/TM-2002-211646
  9. 2001, Postdam. M.A. and Guruswamy. G.P., "A parallel multi-block mesh movement scheme for complex aeroelastic application," AIAA-2001-0716
  10. 2005, Bartels. R.E., "Finite macro-element mesh deformation in structured multi-block Navier-Stokes code," NASA/TM-2005-213789
  11. 2004, Désidéri. J.A. and Janka. A., "Multilevel shape parameterization for aerodynamic optimization -Application to drag and noise reduction of transonic/supersonic jet," European Congress on Computational Methods in Applied Sciences and Engineering
  12. 2006, O, C.G., "Shape optimization for two- dimensional transonic airfoil by using the coupling of FEM and BEM," Ph.D. Thesis, Department of Mathematics, University of Stuttgart
  13. 1999, Thompson. J.F., Soni. B.K. and Weatherill. N.P., Handbook of grid generation, CRC Press
  14. 2002, Chung. T.J., Computational fluid dynamics, Cambridge University Press
  15. 1994, AGARD, "A selection of experimental test cases for the validation of CFD codes," AGARD-AR-303, Vol.II