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R-adaptation for unsteady compressible flow simulations in three dimensions

Abstract : We present an algorithm to perform PDE-based r-adaptation in three-dimensional numerical simulations of unsteady compressible flows on unstructured meshes. A Laplacian-based model for the moving mesh is used to follow the evolving shock-wave patterns in the fluid flow, while the finite volume ALE formulation of the flow solver is employed to implicitly perform a conservative remapping of the solution from the previous to the current mesh, at each time step of the simulation. We show the application of this method to compressible flows on three-dimensional geometries. To this aim, an improved relaxation scheme has been developed in order to preserve the validity of the mesh throughout the time simulation in three dimensions, where the geometrical constraints typically restrict the allowable mesh motion.
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https://hal.inria.fr/hal-02284746
Contributor : Luca Cirrottola <>
Submitted on : Thursday, September 12, 2019 - 10:16:05 AM
Last modification on : Friday, September 13, 2019 - 1:23:33 AM
Long-term archiving on: : Saturday, February 8, 2020 - 2:23:34 AM

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  • HAL Id : hal-02284746, version 1

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Luca Cirrottola, Algiane Froehly, Alberto Guardone, Giuseppe Quaranta, Barbara Re, et al.. R-adaptation for unsteady compressible flow simulations in three dimensions. ADMOS 2019 - International Conference on Adaptive Modeling and Simulation, May 2019, El Campello (Alicante), Spain. ⟨hal-02284746⟩

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