Explicit and robust Inverse Distance Weighting mesh deformation for CFD

48th AIAA Aerospace Sciences Meeting Including the New Horizons Forum and Aerospace Exposition

Volumn , Issue , 2010, Pages

  Witteveen, Jeroen A S ^a  

^a STANFORD UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

AEROELASTICITY; COMPUTATIONAL FLUID DYNAMICS; DEFORMATION; FLUID STRUCTURE INTERACTION; INVERSE PROBLEMS; RADIAL BASIS FUNCTION NETWORKS;

AEROELASTIC WINGS; COMPUTATIONAL COSTS; INVERSE DISTANCE WEIGHTING; MESH OPTIMIZATION; RADIAL BASIS FUNCTION(RBF); SIMULATION ACCURACY; SYSTEM OF EQUATIONS; THREE-DIMENSIONAL APPLICATIONS;

MESH GENERATION;

EID: 78649812553     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.2514/6.2010-165     Document Type: Conference Paper

References (34)

1. C.B. Allen, Aeroelastic computations using algebraic grid motion, Aeronaut. J. 106 (2002) 559-570.
2. S.L. Barnes, A technique for maximizing details in numerical weather map analysis, J. Appl. Meteorol. 3 (1964) 396-409.
3. P.M. Bartier, C.P. Keller, Multivariate interpolation to incorporate thematic surface data using inverse distance weighting (IDW), Comput. Geosci. 22 (1996) 795-799.
4. J.T. Batina, Unsteady Euler algorithm with unstructured dynamic mesh for complex-aircraft aerodynamic analysis, AIAA J. 29 (1991) 327-333.
5. A. de Boer, M.S. van der Schoot, H. Bijl. Mesh deformation based on radial basis function interpolation, Comput. Struct. 85 (2007) 784-795.
6. A. de Boer, Computational fluid-structure interaction: Spatial coupling shell and mesh deformation, Ph.D. Thesis, Delft University of Technology, Delft, The Netherlands (2008).
7. G.J. Bowen, J. Revenaugh, Interpolating the isotopic composition of modern meteoric precipitation, Water Resour. Res. 39 (2003) 1299.
8. M.D. Buhmann, Radial basis functions: Theory and implementations, Cambridge University Press, Cambridge, United Kingdom (2003).
9. P.A. Cavallo, A. Hosangadi, R.A. Lee, S.M. Dash, Dynamic unstructured grid methodology with application to aero/propulsive flowfields, 15th AIAA Applied Aerodynamics Conference, Atlanta, Georgia (1997) AIAA-1997-2310.
10. A.J. Chorin, J.E. Marsden, A mathematical introduction to fluid mechanics, Springer-Verlag, New York (1979).
11. G.P. Cressman, An operational objective analysis system. Mon. Weather Rev. 87 (1959) 367-374.
12. G.A. Davis, O.O. Bendiksen, Unsteady transonic two-dimensional Euler solutions using finite elements, AIAA J. 31 (1993) 1050-1059.
13. C. Degand, C. Farhat, A three-dimensional torsional spring analogy method for unstructured dynamic meshes, Comput. Struct. 80 (2002) 305-316.
14. C. Farhat, C. Degand, B. Koobus, M. Lesoinne, Torsional springs for two-dimensional dynamic unstructured fluid meshes, Comput. Method. Appl. M. 163 (1998) 231-245.
15. P.M. Hartwich, S. Agrawal, Method for perturbing multiblock patched grids in aeroelastic and design optimization applications, 13th AIAA Computational Fluid Dynamics Conference, Snowmass Village, Colorado (1997) AIAA-97-2038.
16. B. Helenbrook, Mesh deformation using the biharmonic operator, Int. J. Numer. Meth. Eng. 56 (2003) 1007-1021.
17. S. Jakobsson, O. Amoignon, Mesh deformation using radial basis functions for gradient based aerodynamic shape optimization, Technical Report, FOI (2005) FOI-R-1784-SE.
18. P.M. Knupp, Algebraic mesh quality metrics for unstructured initial meshes, Finite Elem. Anal. Des. 39 (2003) 217-241.
19. X. Liu, N. Qin, H. Xia, Fast dynamic grid deformation based on Delaunay graph mapping, J. Comput. Phys. 211 (2006) 405-423.
20. R. Loehner, C. Yang, Improved ALE mesh velocities fr moving bodies, Commun. Numer. Meth. En. 12 (1996) 599-608.
21. G.Y. Lu, D.W. Wong, An adaptive inverse-distance weighting spatial interpolation technique, Comput. Geosci. 34 (2008) 1044-1055.
22. D.R. Lynch, K. O'Neill, Elastic grid deformation for moving boundary problems in two space dimensions, Finite Elements in Water Resources 2 (1980) 7.111-7.120.
23. M.A. Potsdam, G.P. Guruswamy, A parallel multiblock mesh movement scheme for complex aeroelastic applications, 39th AIAA Aerospace Sciences Meeting and Exhibit, Reno, Nevada (2001) AIAA-2001-0716.
24. T.C.S. Rendall, C.B. Allen, Unified fluid-structure interaction interpolation and mesh motion using radial basis functions, Int. J. Numer. Meth. Eng. 74 (2008) 1519-1559.
25. T.C.S. Rendall, C.B. Allen, Efficient mesh motion using radial basis functions with data reduction algorithms, J. Comput. Phys. 228 (2009) 6231-6249.
26. D. Shepard. A two-dimensional interpolation function for irregularly-spaced data, Proceedings of the 1968 ACM National Conference (1968) 517-524.
27. E.R. Sheta, H.Q. Yang, S.D. Habchi, Solid brick analogy for automatic grid deformation for fluid-structure interaction, 36th AIAA Fluid Dynamics Conference and Exhibit, San Francisco, California (2006) AIAA-2006-3219.
28. K.P. Singh, J.C. Newman III, O. Baysal, Dynamic unstructured method for flows past multiple objects in relative motion, 32nd AIAA Aerospace Sciences Meeting and Exhibit, Reno, Nevada (1994) AIAA-94-0058.
29. S.P. Spekreijse, B.B. Prananta, J.C. Kok, A simple, robust and fast algorithm to compute deformations of multiblock structured grids, Technical Report, NLR (2002) NLR-TP-2002-105.
30. Z.J. Wang, A.J. Przekwas, Unsteady flow computation using moving grid with mesh enrichment, 32nd AIAA Aerospace Sciences Meeting and Exhibit, Reno, Nevada (1994) AIAA-94-0285.
31. H. Wendland, Scattered data approximation, Cambridge University Press, Cambridge, United Kingdom (2005).
32. J.A.S. Witteveen, A. Doostan, R. Pecňik, T. Chantrasmi, G. Iaccarino, Comparison of stochastic collocation methods for uncertainty quantification of the transonic RAE 2822 airfoil, NODESIM-CFD Workshop on Quantification of CFD Uncertainties, Brussels, Belgium (2009).
33. E. Yates Jr., AGARD standard aeroelastic configurations for dynamic response. Candidate configuration I.-Wing 445.6, Technical Memorandum 100492, NASA (1987).
34. A.H. van Zuijlen, A. de Boer, H. Bijl, Higher-order time integration through smooth mesh deformation for 3D fluid- structure interaction simulations, J. Comput. Phys. 224 (2007) 414-430.