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Communication Dans Un Congrès Année : 2020

Compatible Discrete Operator schemes for the steady incompressible Stokes and Navier-Stokes equations

Résumé

We extend the Compatible Discrete Operator (CDO) schemes to the steady incompressible Stokes and Navier-Stokes equations. The main features of the CDO face-based schemes are recalled: a hybrid velocity discretization with degrees of freedom at faces and cells, a stabilized velocity gradient reconstruction defined on the face-based sub-cell pyramids, and a discrete pressure attached to the mesh cells. We introduce a discrete divergence operator that will account for the velocity-pressure coupling, and a hybrid discretization of the convection term. The results of several benchmark test cases validate the framework.
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Dates et versions

hal-02417514 , version 1 (18-12-2019)
hal-02417514 , version 2 (02-02-2020)

Identifiants

  • HAL Id : hal-02417514 , version 2

Citer

Riccardo Milani, Jérôme Bonelle, Alexandre Ern. Compatible Discrete Operator schemes for the steady incompressible Stokes and Navier-Stokes equations. FVCA - Finite Volumes for Complex Applications IX, Jun 2020, Bergen, Norway. ⟨hal-02417514v2⟩
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