Summary
A recently developed algorithm to adapt computational grids [1] is applied to aerodynamic problems. The algorithm is briefly described and the main features are discussed. Applications to both inviscid and viscous flows around two-dimensional airfoils show that the algorithm is robust and almost fully automatic, and that shocks, expansion zones, boundary layers and shear layers are well resolved by the adapted grid.
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References
Hagmeijer, R., Grid Adaption Based on Modified Anisotropic Diffusion Equations Formulated in the Parametric Domain, submitted to Journal of Computational Physics, 1992.
Eiseman, P.R. Adaptive Grid Generation, Computer Methods in Applied Mechanics and Engineering, Vol. 64, pp 321–376.
Thompson, J.F., A Survey of Dynamically-Adaptive Grids in the Numerical Solution of Partial Differential Equations, AIAA-84–1606, Snowmass, Colorado, USA, 1984.
Dwyer, H.A.,Grid Adaption for Problems in Fluid Dynamics, AIAA Journal, Vol. 22, No. 12, December 1984.
Nakahashi, K., and Deiwert, G.S., Three Dimensional Adaptive Grid Method, AIAA Journal, Vol. 24, No. 6, pp 948–954, June 1986.
Anderson, D.A., Equidistribution Schemes, Poisson Generators and Adaptive Grids, Applied Mathematics and Computation, Vol. 24, 211–227, 1987
Anderson, D.A., and Steinbrenner, J., Generating Adaptive Grids with a Conventional Scheme, AIAA-86–0427, Reno, Nevada, January 1986.
Brackbill, J.U., and Saltzman, J.S., Adaptive Zoning for Singular Problems in Two Dimensions, Journal of Computational Physics 46, 342368 (1982).
Winslow, A., Adaptive Mesh-Zoning by the Equipotential Method, UCID19062, Lawrence Livermore National Laboratories, University of California, 1981.
Lee, K.D., and Loellbach, J.M., A Mapping Technique for Solution Adaptive Grid Control, AIAA-89–2178, Proceedings of AIAA 7th Applied Aerodynamics Conference, pp 129–139, Seattle, WA, July 1989.
Oskam, B., and Huizing, G.H., Flexible Grid Generation for Complex Geometries in Two Space Dimensions Based on Variational Principles, AGARD CP412, Applications of Computational Fluid Dynamics in Aeronautics, Aix-en-Provence, 7–10 april, 1986.
Brandt. A., Multi-Level Adaptive Solutions to Boundary value Problems, Mathematics of Computation, Volume 31, number 138, 1977, pp 333–390.
J.I. van den Berg, and J.W. Boerstoel, Theoretical and Numerical Investigation of Characteristic Boundary Conditions for Cell-Centered Euler Flow Calculations, NLR TR 88124 L.
F.J. Brandsma, and J.G.M. Kuerten, The ISNaS Compressible Navier-Stokes Solver; First Results for Single Airfoils, Proceedings of the 12th International Conference on Numerical Methods in Fluid Dynamics, Springer-Verlag, 1990.
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© 1993 Friedr. Vieweg & Sohn Verlagsgesellschaft mbH, Braunschweig/Wiesbaden
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Hagmeijer, R., de Cock, K.M.J. (1993). Grid Adaption in Computational Aerodynamics. In: Weatherill, N.P., Marchant, M.J., King, D.A. (eds) Multiblock Grid Generation. Notes on Numerical Fluid Mechanics (NNFM), vol 44. Vieweg+Teubner Verlag. https://doi.org/10.1007/978-3-322-87881-6_17
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DOI: https://doi.org/10.1007/978-3-322-87881-6_17
Publisher Name: Vieweg+Teubner Verlag
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Online ISBN: 978-3-322-87881-6
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