A Higher-Order Chimera Method Based on Moving Least Squares

  • Luis RamírezEmail author
  • Xesús Nogueira
  • Pablo Ouro
  • Fermín Navarrina
  • Sofiane Khelladi
  • Ignasi Colominas
Part of the Springer Tracts in Mechanical Engineering book series (STME)


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.


Chimera overset grids High-order schemes Finite volume Moving least squares Moving bodies 


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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • Luis Ramírez
    • 1
    Email author
  • Xesús Nogueira
    • 1
  • Pablo Ouro
    • 2
  • Fermín Navarrina
    • 1
  • Sofiane Khelladi
    • 3
  • Ignasi Colominas
    • 1
  1. 1.Group of Numerical Methods in EngineeringUniversidade da CoruñaA CoruñaSpain
  2. 2.Hydro-environmental Research Centre, School of EngineeringCardiff UniversityCardiffUK
  3. 3.Arts et Métiers Paris Tech, DynFluid LabParisFrance

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