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A higher-order Chimera method based on Moving Least Squares

Ramírez, Luis, Nogueira, Xesús, Ouro, Pablo, Navarrina, Fermín, Khelladi, Sofiane and Colominas, Ignasi 2019. A higher-order Chimera method based on Moving Least Squares. In: Ferrer, Esteban and Montlaur, Adeline eds. Recent Advances in CFD for Wind and Tidal Offshore Turbines, Springer, pp. 73-82. (10.1007/978-3-030-11887-7_7)

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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.

Item Type: Book Section
Date Type: Published Online
Status: Published
Schools: Engineering
Publisher: Springer
ISBN: 9783030118860
ISSN: 2195-9862
Last Modified: 11 Feb 2019 17:26

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