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Journal Articles Computer Methods in Applied Mechanics and Engineering Year : 2022

A fully-conservative sliding grid algorithm for compressible flows using an Isogeometric Discontinuous Galerkin scheme

Abstract

This work aims at developing a high-order, fully conservative, discretization of sliding grids with applications to compressible flows at different regimes (from subsonic to supersonic). The proposed approach combines a discontinuous Galerkin formulation for Navier-Stokes equations with rational representations originating from Isogeometric Analysis, which allows to design a watertight and fully conservative sliding grid algorithm. A verification exercise is first carried out to rigorously establish the convergence rate of the method. Then, the accuracy and robustness are demonstrated for a flow around a pitching ellipse at different regimes. A comparison with a grid deformation technique and a sensitivity study with respect to the location of the sliding interface are also investigated. Finally, the flow around a vertical-axis wind turbine configuration is simulated to show the potentiality of the proposed approach to deal with more complex geometries.
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Dates and versions

hal-03439175 , version 1 (22-11-2021)
hal-03439175 , version 2 (17-05-2022)

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Cite

Stefano Pezzano, Régis Duvigneau. A fully-conservative sliding grid algorithm for compressible flows using an Isogeometric Discontinuous Galerkin scheme. Computer Methods in Applied Mechanics and Engineering, 2022, 395 (15), ⟨10.1016/j.cma.2022.115000⟩. ⟨hal-03439175v2⟩
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