Erell Jamelot
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View article: Description and Convergence Order Analysis of the Finite Element‐Volume Spatial Discretization Method
Description and Convergence Order Analysis of the Finite Element‐Volume Spatial Discretization Method Open
This article reviews the Finite Element‐Volume spatial discretization method on tetrahedral meshes implemented in the TrioCFD code. TrioCFD is a computational fluid dynamics software specifically designed for simulating turbulent flows and…
View article: Explicit T-coercivity for the Stokes problem: A coercive finite element discretization
Explicit T-coercivity for the Stokes problem: A coercive finite element discretization Open
View article: Stability estimates for solving Stokes problem with nonconforming finite elements
Stability estimates for solving Stokes problem with nonconforming finite elements Open
We propose to analyse the discretization of the Stokes problem with nonconforming finite elements in light of the T-coercivity. First we exhibit a family of operators to prove T-coercivity and we show that the stability constant is equal t…
View article: Stability and Convergence of the P1 Nc ×(P0 +P1) Discretization1
Stability and Convergence of the P1 Nc ×(P0 +P1) Discretization1 Open
View article: Discontinuous Galerkin schemes for the Stokes problem
Discontinuous Galerkin schemes for the Stokes problem Open
Our aim is to develop a robust and flexible code to simulate flows in nuclear core reactors. Discontinuous Galerkin schemes are thus proposed here to solve the Stokes problem, which stands as a fundamental element in fluid mechanics. A pri…
View article: Improved Crouzeix-Raviart scheme for the Stokes and Navier-Stokes problem
Improved Crouzeix-Raviart scheme for the Stokes and Navier-Stokes problem Open
The resolution of the incompressible Navier-Stokes equations is tricky, and it is well known that one of the major issue is to approach the space: H 1 (Ω)∩ H (div 0; Ω) := {v ∈ H 1 (Ω) : div v = 0}. The non-conforming Crouzeix-Raviart fini…
View article: Thet-Coercivity Approach For Solving Stokes Problem: Stabilization of Finite Element Pairs
Thet-Coercivity Approach For Solving Stokes Problem: Stabilization of Finite Element Pairs Open
View article: Improved Crouzeix-Raviart scheme for the Stokes and Navier-Stokes problem
Improved Crouzeix-Raviart scheme for the Stokes and Navier-Stokes problem Open
The resolution of the incompressible Navier-Stokes equations is tricky, and it is well known that one of the major issue is to compute a divergence free velocity. The non-conforming Crouzeix-Raviart finite element are convenient since they…
View article: T-coercivity for solving Stokes problem with nonconforming finite elements
T-coercivity for solving Stokes problem with nonconforming finite elements Open
We propose to analyse the discretization of the Stokes problem with nonconforming finite elements in light of the T-coercivity (cf. [1] for Helmholtz-like problems, see [2], [3] and [4] for the neutron diffusion equation). We propose expli…
View article: Schéma MPFA symétrique pour le problème de Stokes
Schéma MPFA symétrique pour le problème de Stokes Open
Présentation au séminaire du laboratoire MSME
View article: Numerical analysis of the neutron multigroup <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mi>S</mml:mi><mml:msub><mml:mi>P</mml:mi> <mml:mi>N</mml:mi> </mml:msub></mml:mrow></mml:math> equations
Numerical analysis of the neutron multigroup equations Open
The multigroup neutron equations, which are an approximation of the neutron transport equation, are used to model nuclear reactor cores. In their steady state, these equations can be written as a source problem or an eigenvalue problem.…
View article: Numerical analysis of the mixed finite element method for the neutron diffusion eigenproblem with heterogeneous coefficients
Numerical analysis of the mixed finite element method for the neutron diffusion eigenproblem with heterogeneous coefficients Open
We study first the convergence of the finite element approximation of the mixed diffusion equations with a source term, in the case where the solution is of low regularity. Such a situation commonly arises in the presence of three or more …
View article: Domain decomposition methods for the diffusion equation with low-regularity solution
Domain decomposition methods for the diffusion equation with low-regularity solution Open
View article: Criticality Computation with Finite Element Method on Non-Conforming Meshes
Criticality Computation with Finite Element Method on Non-Conforming Meshes Open
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View article: A simple monodimensional model coupling an enthalpy transport equation and a neutron diffusion equation
A simple monodimensional model coupling an enthalpy transport equation and a neutron diffusion equation Open
We obtain an analytic solution of a monodimensional stationary system coupling a simplified thermohydraulic model to a simplified neutronic model based on the diffusion approximation with one energy group. We obtain this solution with mini…