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AMR enabled quadtree discretization of incompressible Navier-Stokes equations with moving boundaries

Michel Bergmann 1 Antoine Fondanèche 2, 1, * Angelo Iollo 2
* Corresponding author
1 IMB - Institut de Mathématiques de Bordeaux
2 MEMPHIS - Modeling Enablers for Multi-PHysics and InteractionS
IMB - Institut de Mathématiques de Bordeaux, Inria Bordeaux - Sud-Ouest
Abstract : We present a versatile finite volume method for the simulation of incompressible flows past moving bodies. The Navier-Stokes equations are discretized on AMR enabled quadtree grids, where the dynamic in time refinement is adapted to the evolution of the fluid-solid system. The immersed bodies are modeled through a second-order penalization method and the interface is tracked using a level-set description. We highlight on two dimensional test cases that the uniform grids accuracy can be recovered using quadtree grids with less degrees of freedom.
Keywords : Viscous incompressible flow Finite Volumes quadtree grids AMR penalization method
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Conference papers
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https://hal.inria.fr/hal-02421748
Contributor : Antoine Fondanèche <>
Submitted on : Friday, December 20, 2019 - 4:21:54 PM
Last modification on : Monday, December 7, 2020 - 4:18:16 PM

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  • HAL Id : hal-02421748, version 1

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Michel Bergmann, Antoine Fondanèche, Angelo Iollo. AMR enabled quadtree discretization of incompressible Navier-Stokes equations with moving boundaries. International Congress on Industrial and Applied Mathematics (ICIAM) 2019, Jul 2019, Valencia, Spain. ⟨hal-02421748⟩

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