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A Higher-Order Chimera Method Based on Moving Least Squares

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Recent Advances in CFD for Wind and Tidal Offshore Turbines

Part of the book series: Springer Tracts in Mechanical Engineering ((STME))

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Abstract

The Chimera/overset approach is widely used in the numerical simulation of flows involving moving bodies. In this approach, first used by Steger et al. in 1983, the domain is subdivided into a set of overlapping grids, which provide flexible grid adaptation, the ability to handle complex geometries and the relative motion of bodies in dynamic simulations. However, most of current methods present a second order convergence at most, due to the interpolation between overlapped grids. In this work a higher-order (>2) accurate finite volume method for the resolution of the Euler/Navier–Stokes equations on Chimera grids is presented. The formulation is based on the use of Moving Least Squares (MLS) approximations for transmission of information between the overlapped grids. The accuracy and performance of the proposed method is demonstrated by solving different benchmark problems.

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Author information

Authors and Affiliations

  1. Group of Numerical Methods in Engineering, Universidade da Coruña, Campus de Elviña, 15071, A Coruña, Spain

    Luis Ramírez, Xesús Nogueira, Fermín Navarrina & Ignasi Colominas

  2. Hydro-environmental Research Centre, School of Engineering, Cardiff University, 12-14 The Parade, Cardiff, CF24 3AA, UK

    Pablo Ouro

  3. Arts et Métiers Paris Tech, DynFluid Lab, 151 Boulevard de l’Hôpital, 75013, Paris, France

    Sofiane Khelladi

Authors
  1. Luis Ramírez
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  2. Xesús Nogueira
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  3. Pablo Ouro
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  4. Fermín Navarrina
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  5. Sofiane Khelladi
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  6. Ignasi Colominas
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Corresponding author

Correspondence to Luis Ramírez .

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Editors and Affiliations

  1. ETSIAE-UPM - School of Aeronautics, Universidad Politécnica de Madrid, Madrid, Spain

    Esteban Ferrer

  2. Escola d’Enginyeria de Telecomunicació i Aeroespacial de Castelldefels, Universitat Politècnica de Catalunya, Castelldefels, Barcelona, Spain

    Adeline Montlaur

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Ramírez, L., Nogueira, X., Ouro, P., Navarrina, F., Khelladi, S., Colominas, I. (2019). A Higher-Order Chimera Method Based on Moving Least Squares. In: Ferrer, E., Montlaur, A. (eds) Recent Advances in CFD for Wind and Tidal Offshore Turbines. Springer Tracts in Mechanical Engineering. Springer, Cham. https://doi.org/10.1007/978-3-030-11887-7_7

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  • DOI: https://doi.org/10.1007/978-3-030-11887-7_7

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-11886-0

  • Online ISBN: 978-3-030-11887-7

  • eBook Packages: EngineeringEngineering (R0)

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