A higher-order chimera method based on moving least squares

Luis Ramírez, Xesús Nogueira, Pablo Ouro, Fermín Navarrina, Sofiane Khelladi, Ignasi Colominas

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review


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.

Original languageEnglish
Title of host publicationRecent Advances in CFD for Wind and Tidal Offshore Turbines
EditorsEsteban Ferrer, Adeline Montiaur
PublisherSpringer Nature
Number of pages10
ISBN (Electronic)978-3-030-11887-7
ISBN (Print)978-3-030-11886-0
Publication statusPublished - 1 Jan 2019

Publication series

NameSpringer Tracts in Mechanical Engineering
ISSN (Print)2195-9862
ISSN (Electronic)2195-9870


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


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