Towards automatic structured multiblock mesh generation using improved transfinite interpolation

International Journal for Numerical Methods in Engineering

Volumn 74, Issue 5, 2008, Pages 697-733

  Allen, C B ^a  

^a UNIVERSITY OF BRISTOL   (United Kingdom)

Author keywords

Mesh generation; Multiblock meshes; Structured meshes; Transfinite interpolation

Indexed keywords

ALGORITHMS; INTERPOLATION; MESH GENERATION; OPTIMIZATION;

MULTIBLOCK MESH GENERATION; MULTIBLOCK OPTIMIZATION; SMOOTHING ALGORITHM; STRUCTURED MESHES; TRANSFINITE INTERPOLATION;

FLOW FIELDS;

ALGORITHMS; FLOW FIELDS; INTERPOLATION; MESH GENERATION; OPTIMIZATION;

EID: 42949096173     PISSN: 00295981     EISSN: 10970207     Source Type: Journal    
DOI: 10.1002/nme.2170     Document Type: Article

References (25)

1. Shaw JA, Weatherill NP. Automatic topology generation for multiblock grids. Applied Mathematics and Computation 1992; 52:355-388.
2. Badcock KJ, Richards BE, Woodgate MA. Elements of computational fluid dynamics on block structured grids using implicit solvers. Progress in Aerospace Sciences 2000; 36:351-392.
3. Gordon WJ, Hall CA. Construction of curvilinear co-ordinate systems and applications to mesh generation. International Journal for Numerical Methods in Engineering 1973; 7:461-477.
4. Eriksson LE. Generation of boundary-conforming grids around wing-body configurations using transfinite interpolation. AJAA Journal 1982; 20(10):1313-1320.
5. Allen CB. Central-difference and upwind biased schemes for steady and unsteady Euler aerofoil flows. Aeronautical Journal 1995; 99:52-62.
6. Allen CB. Chimera volume grid generation within the eros code. Institution of Mechanical Engineering Part G: Journal of Aerospace Engineering 2000; 214:125-141.
7. Steger JL, Chaussee DS. Generation of body-fitted coordinates using hyperbolic partial differential equations. SIAM Journal on Scientific and Statistical Computing 1980; 1(4):431-437.
8. Barth TJ, Kent TJ, Kinsey DW. Description of a hyperbolic grid generation procedure for arbitrary two-dimensional bodies. Technical Report, Air Force Wright Aeronautical Laboratories, Wright-Patterson Air Force Base, Ohio, 1984. AFWAL-TM-84-191-FIMM.
9. Steger JL. Generation of three-dimensional body-fitted grids by solving hyperbolic partial differential equations. Technical Report 101069, NASA, TM, January 1989.
10. Chan WM, Steger JL. Enhancements of a three-dimensional hyperbolic grid generation scheme. Applied Mathematics and Computation 1992; 51:181-205.
11. Nakamura S, Suzuki M. Non-iterative three dimensional grid generation using a parabolic-hyperbolic hybrid scheme. AIAA 25th Aerospace Sciences Meeting, Reno, NV, 1987. Number AIAA-87-0277.
12. Tai CH, Yin SL, Soong CY. A novel hyperbolic grid generation procedure with inherent adaptive dissipation. Journal of Computational Physics 1995; 116:173-179.
13. Tai CH, Chiang DCH, Su YP. Three-dimensional hyperbolic grid generation with inherent dissipation and Laplacian smoothing. AIAA Journal 1996; 34(9):1801-1806.
14. Matsuno K. High-order upwind method for hyperbolic grid generation. Computers and Fluids 1999; 28:825-851.
15. Thompson JF, Thames FC, Mastin CW. Automatic numerical generation of body fitted curvilinear coordinate system for field containing any number of arbitrary two-dimensional bodies. Journal of Computational Physics 1974; 15:299-319.
16. Thompson JF, Thames FC, Mastin CW. Tomcat - a code for numerical generation of boundary-fitted curvilinear coordinate systems on fields containing any number of arbitrary two-dimensional bodies. Journal of Computational Physics 1977; 24(3):274-302.
17. Thomas PD. Composite three-dimensional grids generated by elliptic systems. AIAA Journal 1982; 20:1195-1202.
18. Sorenson RL, Steger JL. Advances in grid generation. ASME Applied Mechanics, Bioengineering, and Fluids Engineering Conference, Ghia KN, Ghia U (eds), FED-vol. 5, Houston, 1983.
19. Schwarz W. Elliptic grid generation system for three-dimensional configurations using Poisson's equations. Proceedings of 1st International Conference on Numerical Grid Generation in CFD. Pineridge Press: Swansea, 1986.
20. Dhanabalan SS, Tsai HM. An algebraic elliptic grid generator with grid spacing control. AIAA 44th Aerospace Sciences Meeting, Reno, NV, 2006. Number AIAA-2006-0949.
21. Siebert BW, Dulikravich GS. Grid generation using a posteriori optimization with geometrically normalised functions. Applied Aerodynamics Conference, Portland, OR, 1990. AIAA Paper No. AIAA-1990-3048.
22. Allen CB. An unsteady multiblock multigrid scheme for lifting forward flight simulation. International Journal for Numerical Methods in Fluids 2004; 45(9):973-984.
23. Allen CB. Parallel simulation of unsteady hovering rotor wakes. International Journal for Numerical Methods in Engineering 2006; 68(6):632-649.
24. Schultz K-J, Splettstoesser W, Junker B, Wagner W, Scheoll E, Arnauld G, Mercker E, Fertis D. A parametric wind tunnel test on rotorcoft aerodynamics and acroacoutics (helishape) - test documentation and representative results. Twenty-second European Rotorcraft Forum, Brighton, U.K., 1996.
25. Allen CB. Parallel universal approach to mesh motion, and application to rotors in forward flight. International Journal for Numerical Methods in Engineering 2007; 69(10):2126-2149.