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Part of the book series: Notes on Numerical Fluid Mechanics and Multidisciplinary Design ((NNFM,volume 113))

Abstract

We consider the adjoint-based error estimation and goal-oriented mesh refinement for single and multiple aerodynamic force coefficients as well as residual-based mesh refinement applied to various three-dimensional laminar and turbulent aerodynamic test cases defined in the ADIGMA project.

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References

  1. Bangerth, W., Hartmann, R., Kanschat, G.: deal.II – A general purpose object oriented finite element library. ACM Trans. on Math. Software 33(4) (August 2007)

    Google Scholar 

  2. Bassi, F., Crivellini, A., Rebay, S., Savini, M.: Discontinuous Galerkin solution of the Reynolds-averaged Navier-Stokes and k − ω turbulence model equations. Computers & Fluids 34, 507–540 (2005)

    Article  MATH  Google Scholar 

  3. Becker, R., Rannacher, R.: An optimal control approach to a posteriori error estimation in finite element methods. Acta Numerica 10, 1–102 (2001)

    Article  MATH  MathSciNet  Google Scholar 

  4. Fejtek, I.: Summary of code validation results for a multiple element airfoil test case. In: 28th AIAA fluid dynamics conference, AIAA Paper 97-1932 (1997)

    Google Scholar 

  5. Hartmann, R.: Adaptive discontinuous Galerkin methods with shock-capturing for the compressible Navier-Stokes equations. Int. J. Numer. Meth. Fluids 51(9-10), 1131–1156 (2006)

    Article  MATH  MathSciNet  Google Scholar 

  6. Hartmann, R.: Multitarget error estimation and adaptivity in aerodynamic flow simulations. SIAM J. Sci. Comput. 31(1), 708–731 (2008)

    Article  MATH  MathSciNet  Google Scholar 

  7. Hartmann, R., Held, J., Leicht, T., Prill, F.: Discontinuous Galerkin methods for computational aerodynamics – 3D adaptive flow simulation with the DLR PADGE code. Aerospace Science and Technology (2009) (Submitted)

    Google Scholar 

  8. Hartmann, R., Houston, P.: Adaptive discontinuous Galerkin finite element methods for nonlinear hyperbolic conservation laws. SIAM J. Sci. Comput. 24, 979–1004 (2002)

    Article  MATH  MathSciNet  Google Scholar 

  9. Hartmann, R., Houston, P.: Adaptive discontinuous Galerkin finite element methods for the compressible Euler equations. J. Comput. Phys. 183(2), 508–532 (2002)

    Article  MATH  MathSciNet  Google Scholar 

  10. Hartmann, R., Houston, P.: Goal-oriented a posteriori error estimation for multiple target functionals. In: Hou, T.Y., Tadmor, E. (eds.) Hyperbolic problems: theory, numerics, applications, pp. 579–588. Springer, Heidelberg (2003)

    Google Scholar 

  11. Hartmann, R., Houston, P.: Symmetric interior penalty DG methods for the compressible Navier–Stokes equations II: Goal–oriented a posteriori error estimation. Int. J. Num. Anal. Model. 3(2), 141–162 (2006)

    MATH  MathSciNet  Google Scholar 

  12. Hartmann, R., Houston, P.: An optimal order interior penalty discontinuous Galerkin discretization of the compressible Navier–Stokes equations. J. Comput. Phys. 227(22), 9670–9685 (2008)

    Article  MATH  MathSciNet  Google Scholar 

  13. Hartmann, R., Leicht, T.: Error estimation and anisotropic mesh refinement for 3d aerodynamic flow simulations. J. Comput. Phys (2009) (Submitted)

    Google Scholar 

  14. Hellsten, A.: New Two-Equation Turbulence Model for Aerodynamics Applications. Technical Report Report No. A-21, Helsinki University of Technology, Laboratory of Aerodynamics (2004)

    Google Scholar 

  15. Klaij, C.M., van der Vegt, J.J.W., van der Ven, H.: Space–time discontinuous Galerkin method for the compressible Navier-Stokes equations. J. Comput. Phys. 217(2), 589–611 (2006)

    Article  MATH  MathSciNet  Google Scholar 

  16. Moir, I.R.M.: Measurements on a two-dimensional aerofoil with high-lift devices. AGARD Advisory Report 303, Advisory Group for Aerospace Research & Development, Neuilly-sur-Seine, Test case A2 (1994)

    Google Scholar 

  17. Schwamborn, D., Gerhold, T., Heinrich, R.: The DLR TAU-code: Recent applications in research and industry. In: Wesseling, P., Oñate, E., Périaux, J. (eds.) Proceedings of European Conference on Computational Fluid Dynamics, ECCOMAS CDF 2006, Delft, The Netherland, pp. 91–100 (2006)

    Google Scholar 

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Hartmann, R., Held, J., Leicht, T., Prill, F. (2010). Error Estimation and Adaptive Mesh Refinement for Aerodynamic Flows. In: Kroll, N., Bieler, H., Deconinck, H., Couaillier, V., van der Ven, H., Sørensen, K. (eds) ADIGMA - A European Initiative on the Development of Adaptive Higher-Order Variational Methods for Aerospace Applications. Notes on Numerical Fluid Mechanics and Multidisciplinary Design, vol 113. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-03707-8_24

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  • DOI: https://doi.org/10.1007/978-3-642-03707-8_24

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-03706-1

  • Online ISBN: 978-3-642-03707-8

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