Journal of computational fluids engineering (한국전산유체공학회지)

Korean Society of Computational Fluids Engineering (한국전산유체공학회)
권호 표지

A STUDY ON THE NURBS GRID GENERATION AND GRID CONTROL

NURBS를 이용한 격자생성 및 제어기법

  • 윤용현 (공군사관학교 항공우주공학과)
  • Published : 2007.09.30
Download PDF
⟨ Previous Next ⟩

Abstract

A fast and robust method of grid generation to multiple functions has been developed for flow analysis in three dimensional space. It is based on the Non-Uniform Rational B-Spline(NURBS) of an approximation method. Many of NURBS intrinsic properties are introduced and much more easily understood. The grid generation method, details of numerical implementation. examples of application, and potential extensions of the current method are illustrated in this paper. The object of this study is to develop the surface grid generation and the grid cluster techniques capable of resolving complex flows with shock waves, expansion waves, shear layers. The knot insert method of Non-Uniform Rational B-Spline seems well worked. In addition, NURBS has been widely utilized to generate grids in the computational fluid dynamics community. Computational examples associated with practical configurations have shown the utilization of the algorithm.

Keywords

References

  1. 2006, Steve L. Karman, W. Kyle Anderson, and Mandar Saharabudhe, "Mesh Generation Using Unstructured Computational Mesh and Elliptic Partial Differential Equation Smoothing," AIAA Journal, Vol.44, No.6, pp.1277-1286 https://doi.org/10.2514/1.15929
  2. 1974, Robert E. Barnhill and Richard F. Riesenfeld, "Computer Aided Geometric Design," Academic Press
  3. 1990, Gerald Farin, "Curves and Surfaces for Computer Aided Geometric Design," 2nd Edition, Academic Press
  4. 1992, J.C. Fiorot and P. Jeannin, "Rational Curves and Surfaces; Application to CAD," John Wiley & Sons
  5. 1995, Gerald Farin, "NURBS Curves & Surfaces", A K Peters
  6. 1995, T.Y. Yu and B.K. Soni, "Geometry Modeling and Grid Generation Using 3D NURBS Control Volume," NASA Conference Publication 3291, pp.491-500
  7. June 17-20. 1996, G.S. Hufford, C.R. Mitchell, and V.J. Harrand, "Trimmed NURBS, Unstructured Grid and CFD," the 27th AIAA Fluid Dynamics Conference, New Orleans, USA
  8. 2005, X.q. Xing and M. Damodaran, 2005, "Application of Simultaneous Perturbation Stochastic Approximation Method for Aerodynamic Shape Design Optimization," AIAA Journal Vol.43, No.2
  9. 2006, 이병준, 김종암, "NURBS를 이용한 S형 천음속 흡입관 최적 설계," 한국전산유체공학회지, 제11권, 제1호. pp.57-66
  10. 2006, Simon Painchau-Quellet, "Airfoil Shape Optimization Using a Nonuniform Rational B-Splines Parameterization Under Thickness Constraint," AIAA Journal, Vol.44, No.10, pp.2170-2178 https://doi.org/10.2514/1.15117
  11. 2006, Mustafa Kaya and Ismail H. Tuncer, "Path Optimization of Flapping Airfoils Based on NURBS," Parallel CFD Conference, Busan, Korea, pp.263-266
  12. 2006, Daniel R. Millman, P.I. King, R.C. Maple, P.S. Beram, L.K. Chilton, "Uncertainty Quantification with a B-Spline Stochastic Projection," AIAA Journal, Vol.44, No.8, pp.845-1853
  13. 1972, de Boor, C., "On te Calculation wit B-splines," Journal of Approximation, Vol.6, pp.50-62 https://doi.org/10.1016/0021-9045(72)90080-9
  14. 1975, Versprille, K.J., "Computer-Aided Design Applications of the Rational B-spline Approximation Form," Ph.D dissertation, Syracuse Univ., Syracuse, NY
  15. 1983, Tiller, W., "Rational B-splines for Curve and Surface Representation," IEEE Computer Graphics & Applications., Vol.3, No.6, pp.61-69
  16. 1987, Piegl, L., and Tiller, W., "Curve and Surface Constructions Using Rational B-splines," Computer Aided Design, Vol.19, pp.485-498 https://doi.org/10.1016/0010-4485(87)90234-X
  17. 1980, Barsky, B.A., and Greenberg, D.P., "Determining a Set of B-spline Control Vertices to Generate an Interpolating Surface," Computer Graphic Imagnation. Proceeding, Vol. 14, pp.203-226 https://doi.org/10.1016/0146-664X(80)90053-2
  18. 1985, Joe F. Thompson, Z.U. Warsi, and C. Wayne Mastin, "Numerical Grid Generation," Elsevier Science Publishing Co., Inc, pp.305-310