Generating strictly non-self-overlapping structured quadrilateral grids

CAD Computer Aided Design

Volumn 39, Issue 9, 2007, Pages 709-718

  Lin, Hongwei ^a   Tang, Kai ^b   Joneja, Ajay ^b   Bao, Hujun ^a  

^a ZHEJIANG UNIVERSITY   (China)

^b HONG KONG UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Hong Kong)

Author keywords

Boundary conforming mapping; Four sided region; Non self overlapping; Structured quadrilateral grid

Indexed keywords

ALGORITHMS; OPTIMIZATION; POLYNOMIALS; PROBLEM SOLVING;

BOUNDARY-CONFORMING MAPPING; FOUR-SIDED REGION; NON-SELF-OVERLAPPING; STRUCTURED QUADRILATERAL GRID;

CONFORMAL MAPPING;

EID: 34547122724     PISSN: 00104485     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cad.2007.02.001     Document Type: Article

References (18)

1. Thompson J.F. A survey of dynamically-adaptive grids in the numerical solution of partial differential equations. Appl Numer Math 1 (1985) 3-27
2. Soni B.K. Elliptic grid generation system: Control functions revisited. I. Appl Math Comput 59 (1993) 151-163
3. Khamayseh A., and Hamann B. Elliptic grid generation using NURBS surfaces. Comput Aided Geom Design 13 (1996) 369-386
4. Knupp P.M. Jacobian-weighted elliptic grid generation. SIAM J Sci Comput 17 (1996) 1475-1490
5. Kim S. Control functions and grid qualities measurements in the elliptic grid generation around arbitrary surfaces. Internat J Numer Methods Fluids 33 (2000) 81-88
6. Smith R.E., and Eriksson L.E. Algebraic grid generation. Comput Methods Appl Mech Engrg 64 (1987) 285-300
7. Shih T.I.P., Bailey R.T., Nguyen H.L., and Roelke R.J. Algebraic grid generation for complex geometries. Internat J Numer Methods Fluids 13 (1991) 1-31
8. Brakhage K.H., and Muller S. Algebraic-hyperbolic grid generation with precise control of intersection of angles. Internat J Numer Methods Fluids 33 (2000) 89-123
9. Yang D.C.H., Chuang J.-J., and OuLee TH. Boundary-conformed toolpath generation for trimmed free-form surfaces. Comput-Aided Design 35 2 (2003) 127-139
10. Wang C., and Tang K. Non-self-overlapping structured grid generation on an n-sided surface. Internat J Numer Methods Fluids 46 9 (2004) 961-982
11. Wang C., and Tang K. Non-self-overlapping Hermite interpolation mapping: A practical solution for structured quadrilateral meshing. Comput-Aided Design 37 2 (2005) 271-283
12. Wang C., and Tang K. Algebraic grid generation on trimmed surface using non-self-overlapping Coons patch mapping. Internat J Numer Methods Engrg 60 7 (2004) 1259-1286
13. Farouki R.T., and Rajan V.T. On the numerical condition of polynomials in Bernstein form. Comput Aided Geom Design 4 (1987) 191-216
14. Farouki R.T., and Rajan V.T. Algorithms for polynomials in Bernstein form. Comput Aided Geom Design 5 (1988) 1-26
15. Lin H., and Bao H. Regular curve: Some geometric conditions and a necessary and sufficient condition. Proceedings of ninth international conference on computer aided design and computer graphics' 2005 (2005), IEEE Press, HongKong 52-57
16. Wang X.F., Cheng F., and Barsky B.A. Energy and B-spline interproximation. Comput-Aided Design 29 7 (1997) 485-496
17. Cheng C., and Zhang Y.F. Thin plate spline surface approximation using Coons patches. Comput Aided Geom Design 11 (1994) 269-287
18. Matlab online manual. The MathWorks, Inc