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A convergent FV-FE scheme for the stationary compressible Navier-Stokes equations

Abstract : In this paper, we prove a convergence result for a discretization of the three-dimensional stationary compressible Navier-Stokes equations assuming an ideal gas pressure law p(ρ) = aρ^γ with γ > 3/2. It is the first convergence result for a numerical method with adiabatic exponents γ less than 3 when the space dimension is three. The considered numerical scheme combines finite volume techniques for the convection with the Crouzeix-Raviart finite element for the diffusion. A linearized version of the scheme is implemented in the industrial software CALIF^3S developed by the french Institut de Radioprotection et de S\^uret\'e Nucl\'eaire (IRSN).
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Submitted on : Friday, January 24, 2020 - 11:26:22 AM
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  • HAL Id : hal-02175302, version 2

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Charlotte Perrin, Khaled Saleh. A convergent FV-FE scheme for the stationary compressible Navier-Stokes equations. IMA Journal of Numerical Analysis, Oxford University Press (OUP), In press. ⟨hal-02175302v2⟩

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