Free Access
Issue
Math. Model. Nat. Phenom.
Volume 6, Number 3, 2011
Computational aerodynamics
Page(s) 2 - 27
DOI https://doi.org/10.1051/mmnp/20116301
Published online 16 May 2011
  1. S. R. Allmaras, J. E. Bussoletti, C. L. Hilmes, F. T. Johnson, R. G. Melvin, E. N. Tinoco, V. Venkatakrishnan, L. B. Wigton, D. P. Young. Algorithm issues and challenges associated with the development of robust CFD codes. Giuseppe Buttazzo, Aldo Frediani, Variational Analysis and Aerospace Engineering. New York, Springer, 33 (2009), 1–19.
  2. M. B. Bieterman, J. E. Bussoletti, C. L. Hilmes, F. T. Johnson, R. G. Melvin, D. P. Young. An adaptive grid method for analysis of 3D aircraft configurations. Computer Methods in Applied Mechanics and Engineering, 101 (1992), 225–249. [CrossRef]
  3. L. Demkowicz. Computing with hp-adaptive finite elements, Vol. 1: One and two dimensional elliptic and Maxwell problems. Chapman and Hall/CRC Applied Mathematics, 2006.
  4. B. Diskin, J. L. Thomas. Accuracy of gradient reconstruction on grids with high aspect ratio. NIA Report No.2008-12, December, 2008.
  5. T. J. R. Hughes, A. Brooks. A multi-dimensional upwind scheme with no crosswind diffusion. Finite Element Methods for Convection-Dominated Flows (ed. T.J.R. Hughes) AMD 34, New York, ASME (1979), 19–35.
  6. F. T. Johnson, E. N. Tinoco, J. N. Yu. Thirty years of development and application of CFD at Boeing Commercial Airplanes, Seattle. Computers & Fluids, 34 (2005), 1115–1151. [CrossRef]
  7. D. J. Mavriplis. Revisiting the least-squares procedure for gradient reconstruction on unstructured meshes. AIAA Paper 2003–3986.
  8. T. A. Oliver. A high order, adaptive, discontinuous Galerkin finite element method for the Reynolds-averaged Navier-Stokes equations. Ph. D. Thesis, M.I.T., (2008).
  9. N. B. Petrovskaya. Discontinuous weighted least squares approximation on irregular grids. CMES: Computer Modeling in Engineering & Sciences, 32 (2008), No. 2, 69–84 .
  10. N. A Pierce, M. B. Giles. Adjoint and defect error bounding and correction for functional estimates. J. Comp Phys., 200 (2004), 769–794. [CrossRef]
  11. P. R. Spalart, S. R. Allmaras. A One-equation turbulence model for aerodynamic flows. La Recherche Ae’rospatiale, 1 (1994), 5–21 . Also AIAA paper 92-0439.
  12. J. C. Vassberg, E. N. Tinoco, M. Mani, B. Rider, T. Zickhur, D. W. Levy, O. P. Brodersen, B. Eisfeld, S. Crippa, R. A. Wahls, J. H. Morrison, D. J. Mavriplis, M. Murayama. Summary of the fourth AIAA CFD Drag Prediction Workshop. 28th AIAA Applied Aerodynamics Conference, 28 June – 1 July, 2010, Chicago, IAIAA Paper 2010-4547.
  13. D. A. Venditti, D. L. Darmofal. Anisotropic grid adaptation for functional outputs: application to two-dimensional viscous flows. J. Comp Phys., 187 (2003), 22–46. [CrossRef]
  14. V. Venkatakrishnan, S. R. Allmaras, F. T. Johnson, D. S. Kamenetskii. Higher order schemes for the compressible Navier-Stokes equations. 16th AIAA Computational Fluid Dynamics Conference. Orlando, Florida, June 23-26, 2003, AIAA Paper 2003-3987.
  15. D. P. Young, R. G. Melvin, M. B. Bieterman, F. T. Johnson, S. S. Samant, J.E. Bussoletti. A locally refined rectangular grid finite element method: application to computational fluid dynamics and computational physics. J. Comp Phys., 92 (1991), 1–66. [CrossRef]

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