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Non-overlapping Schwarz algorithms for the Incompressible Navier-Stokes equations with DDFV discretizations

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Abstract

We propose and analyze non-overlapping Schwarz algorithms for the domain decomposition of the unsteady incompressible Navier-Stokes problem with Discrete Duality Finite Volume discretizations. The design of suitable transmission conditions for the velocity and the pressure is a crucial issue. We establish the well-posedness of the method and the convergence of the iterative process, pointing out how the numerical fluxes influence the asymptotic problem which is intended to be a discretization of the Navier-Stokes equations on the entire computational domain. Finally we perform some numerical tests to illustrate the behavior of the algorithm.
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Dates and versions

hal-02448007 , version 1 (21-01-2020)

Identifiers

  • HAL Id : hal-02448007 , version 1

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Thierry Goudon, Stella Krell, Giulia Lissoni. Non-overlapping Schwarz algorithms for the Incompressible Navier-Stokes equations with DDFV discretizations. 2020. ⟨hal-02448007⟩
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