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Conference Papers Year : 2019

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

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.
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Dates and versions

hal-02421748 , version 1 (20-12-2019)

Identifiers

  • HAL Id : hal-02421748 , version 1

Cite

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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