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DNS for Flow Past a 3D Flexible Wing

  • Conference paper
Recent Advances in DNS and LES

Part of the book series: Fluid Mechanics and its Applications ((FMIA,volume 54))

Abstract

We will present a matrix-free discontinuous Galerkin method for simulating compressible viscous flows on two- and three-dimensional moving domains. To this end, we solve the Navier-Stokes equations in an Arbitrary Lagrangian Eulerian (ALE) framework. Spatial discretization is based on standard structured and unstructured grids but using an orthogonal spectral hierarchical basis. The method is third-order accurate in time, and converges exponentially fast in space for smooth solutions. A novelty of the method is the use of a force-directed algorithm from graph theory that requires no matrix inversion to efficiently update the grid while minimizing distortions. We present several simulations using the new method, including validation using published results from a pitching airfoil, and new results for flow past a three-dimensional wing subject to large flapping insect-like motion.

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Author information

Authors and Affiliations

  1. Division of Applied Mathematics, Brown University, USA

    I. Lomtev, R. M. Kirby & G. E. Karniadakis

Authors
  1. I. Lomtev
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  2. R. M. Kirby
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  3. G. E. Karniadakis
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Editor information

Editors and Affiliations

  1. Department of Mechanical and Aerospace Engineering, Rutgers University, Piscataway, NJ, USA

    Doyle Knight

  2. US Air Force Office of Scientific Research, Arlington, VA, USA

    Leonidas Sakell

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© 1999 Springer Science+Business Media Dordrecht

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Lomtev, I., Kirby, R.M., Karniadakis, G.E. (1999). DNS for Flow Past a 3D Flexible Wing. In: Knight, D., Sakell, L. (eds) Recent Advances in DNS and LES. Fluid Mechanics and its Applications, vol 54. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-4513-8_25

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  • DOI: https://doi.org/10.1007/978-94-011-4513-8_25

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-5924-4

  • Online ISBN: 978-94-011-4513-8

  • eBook Packages: Springer Book Archive

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