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A Hybrid Dynamic Mesh Generation Method for Multi-Block Structured Grid

Published online by Cambridge University Press:  18 January 2017

Hao Chen,
Zhiliang Lu and
Tongqing Guo
Hao Chen
Affiliation:
College of Aerospace Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing, Jiangsu 210016, China
Zhiliang Lu*
Affiliation:
College of Aerospace Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing, Jiangsu 210016, China
Tongqing Guo
Affiliation:
College of Aerospace Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing, Jiangsu 210016, China
*
*Corresponding author. Email:luzl@nuaa.edu.cn (Z. L. Lu)

Abstract

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In this paper, a hybrid dynamic mesh generation method for multi-block structured grid is presented based on inverse distance weighting (IDW) interpolation and transfinite interpolation (TFI). The major advantage of the algorithm is that it maintains the effectiveness of TFI, while possessing the ability to deal with multi-block structured grid from the IDW method. In this approach, dynamic mesh generation is made in two steps. At first, all domain vertexes with known deformation are selected as sample points and IDW interpolation is applied to get the grid deformation on domain edges. Then, an arc-length-based TFI is employed to efficiently calculate the grid deformation on block faces and inside each block. The present approach can be well applied to both two-dimensional (2D) and three-dimensional (3D) problems. The proposed method has been well-validated by several test cases. Numerical results show that dynamic meshes with high quality can be generated in an accurate and efficient manner.

Keywords

Multi-block structured gridmesh deformationinverse distance weightingtransfinite interpolation

MSC classification

Secondary:65Z05: Applications to physics

Information

Type
Research Article
Information
Advances in Applied Mathematics and Mechanics , Volume 9 , Issue 4 , August 2017, pp. 887 - 903
Copyright
Copyright © Global-Science Press 2017 

References

[1] Gaitonde, A. L. and Fiddes, S. P., A moving mesh system for the calculation of unsteady flows, AIAA Paper 93-0461, January 1993.Google Scholar
[2] Reuther, J., Jameson, A., Farmer, J., Martinelli, L. and Saunders, D., Aerodynamics shape optimization of complex aircraft configurations via an adjoint formulation, AIAA Paper 96-0094, January 1996.Google Scholar
[3] Byun, C. and Guruswamy, G. P., A parallel, multi-block, moving grid method for aeroelastic applications on full aircraft, AIAA Paper 98-4782, September 1998.Google Scholar
[4] Allen, C. B., An algebraic grid motion technique for large deformations, J. Aerospace Eng., 216(1) (2002), pp. 51–58.Google Scholar
[5] Lu, Z. L., Generation of dynamic grids and computation of unsteady transonic flows around assemblies, China J. Aeron., 14 (2001), pp. 1–5.Google Scholar
[6] Bartier, P. M. and Keller, C. P., Multivariate interpolation to incorporate thematic surface data using inverse distance weighting, Comput. Geosci., 22(7) (1996), pp. 795–799.Google Scholar
[7] Papari, G. and Petkov, N., Reduced inverse distance weighting interpolation for painterly rendering, Comput. Anal. Images Patterns, (2009), pp. 509–516.Google Scholar
[8] Zhao, Y. and Forhad, Ahmed, A general method for simulation of fluid flows with moving andcompliant boundaries on unstructured grids, Comput. Methods Appl. Mech. Eng., 192 (2003), pp. 4439–4466.CrossRefGoogle Scholar
[9] Eckert, A. B. and Wenland, H., Multivariate interpolation for fluid-structure-interaction problems using radial basis functions, Aerospace Sci. Technol., 5 (2001), pp. 125–134.Google Scholar
[10] De Boer, A., Van Der Schoot, M. S. and Bijl, H., Mesh deformation based on radial basis function interpolation, Comput. Structures, 85 (2007), pp. 784–795.Google Scholar
[11] Rendall, T. C. S and Allen, C. B., Unified fluid-structure interpolation and mesh motion using radial basis functions, Int. J. Numer. Methods Eng., 74 (2008), pp. 1519–1559.CrossRefGoogle Scholar
[12] Witteveen, J. A. S., Explicit and robust inverse distance weighting mesh deformation for CFD, AIAA 2010-165, January 2010.Google Scholar
[13] Uyttersprot, L., Inverse Distance Weighting Mesh Deformation, Master thesis, Delft University of Technology, 2014.Google Scholar
[14] Luke, E., Collins, E. and Blades, E., A fast mesh deformation method using explicit interpolation, J. Comput. Phys., 231(2) (2012), pp. 586–601.Google Scholar
[15] Zhou, X. and Li, S. X. et al., Advances in the research on unstructured mesh deformation, Adv. Mech., 05 (2011), pp. 547–561.Google Scholar
[16] Witteveen, J. A. S. and Bijl, H., Explicit mesh deformation using inverse distance weighting interpolation, AIAA 2009-3996, June 2009.Google Scholar
[17] Lu, G. Y. and Wong, D. W., An adaptive inversedistance weighting spatial interpolation technique, Comput. Geosci., 34(9) (2008), pp. 1044–1055.CrossRefGoogle Scholar
[18] Shepard, D., A two-dimensional interpolation function for irregularly-spaced data, Proceedings of the 1968 23rd ACM National Conference, pages 517–524, 1968.Google Scholar
[19] Ding, L., Guo, T. Q. and Lu, Z. L., A hybrid method for dynamic mesh generation based on radial basis functions and delaunay graph mapping, Adv. Appl. Math. Mech., 6(1) (2014), pp. 120–134.Google Scholar
[20] Jones, W. T. and Samareh-Abolhassani, J., A grid generation system for multi-disciplinary design optimization, AIAA Paper 95-1689, June 1995.Google Scholar
[21] Ding, L., Lu, Z. L. and Guo, T. Q., An efficient dynamic mesh generation method for complex multi-block structured grid, Adv. Appl. Math. Mech., 6(1) (2014), pp. 120–134.CrossRefGoogle Scholar
[22] Dalle, D. J. and Fidkowski, K. J., Multifidelity airfoil shape optimization using adaptive meshing, AIAA Paper 2014-2996, June 2014.CrossRefGoogle Scholar
[23] Nambu, T., Mavriplis, D. J. and Mani, K., Adjoint-based shape optimization of high-lift airfoils using the NSU2D unstructured mesh solver, AIAA Paper 2014-0554, January 2014.Google Scholar
[24] AGARD Report, Compendium of Unsteady Aerodynamic Measurements, AGARD Report No. 702, 1983.Google Scholar
[25] Li, J. and Huang, S. Z. et al., Unsteady viscous flow simulations by a fully implicit method with deforming grid, AIAA Paper 2005-1221, January 2005.Google Scholar