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A centered limited finite volume approximation of the momentum convection operator for low‐order nonconforming face‐centered discretizations

International journal for numerical methods in fluids, 2024-06, Vol.96 (6), p.1104-1135

2024

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Birefringent strands drive the flow of viscoelastic fluids past obstacles

Journal of fluid mechanics, 2022-10, Vol.948, Article A2

2022

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Convergence of the Marker-and-Cell Scheme for the Incompressible Navier–Stokes Equations on Non-uniform Grids

Foundations of computational mathematics, 2018-02, Vol.18 (1), p.249-289

2018

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Lax–Wendroff consistency of finite volume schemes for systems of non linear conservation laws: extension to staggered schemes

SeMA journal, 2022, Vol.79 (2), p.333-354

2022

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On some implicit and semi-implicit staggered schemes for the shallow water and Euler equations

ESAIM. Mathematical modelling and numerical analysis, 2014-11, Vol.48 (6), p.1807-1857

2014

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Modelling of a spherical deflagration at constant speed

Computational & Applied Mathematics, 2021-07, Vol.40 (5), Article 163

2021

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On the weak consistency of finite volumes schemes for conservation laws on general meshes

SeMA journal, 2019-12, Vol.76 (4), p.581-594

2019

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Compactness of discrete approximate solutions to parabolic PDEs - Application to a turbulence model

Communications on pure and applied analysis, 2012-11, Vol.11 (6), p.2371-2391

2012

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A formally second-order cell centred scheme for convection-diffusion equations on general grids

International journal for numerical methods in fluids, 2013-03, Vol.71 (7), p.873-890

2013

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Low Mach number limit of some staggered schemes for compressible barotropic flows

Mathematics of computation, 2021-05, Vol.90 (329), p.1039-1087

2021

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MUSCL Discretization for the Fluid Flow Convection Operator on Staggered Meshes

Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples, p.497-505

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Conservativity and weak consistency of a class of staggered finite volume methods for the Euler equations

Mathematics of computation, 2021-05, Vol.90 (329), p.1155-1177

2021

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A Second Order Numerical Scheme for Large-Eddy Simulation of Compressible Flows

Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples, p.635-643

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A convergent staggered scheme for the variable density incompressible Navier-Stokes equations

Mathematics of computation, 2018-03, Vol.87 (310), p.581-632

2018

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Convergence of the MAC scheme for the compressible stationary Navier-Stokes equations

Mathematics of computation, 2018-05, Vol.87 (311), p.1127-1163

2018

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3-Dimensional Particulate Flow Modelling Using a Viscous Penalty Combined with a Stable Projection Scheme

Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples, p.705-713

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Convergence of the Fully Discrete Incremental Projection Scheme for Incompressible Flows

Journal of mathematical fluid mechanics, 2023-08, Vol.25 (3), Article 63

2023

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Convergence of the MAC Scheme for the Steady-State Incompressible Navier-Stokes Equations on Non-uniform Grids

Finite Volumes for Complex Applications VII-Methods and Theoretical Aspects, p.343-351

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A Marker-and-Cell Scheme for Viscoelastic Flows on Non Uniform Grids

Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples, p.645-653

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A convergent finite element-finite volume scheme for the compressible Stokes problem. Part I: The isothermal case

Mathematics of computation, 2009-07, Vol.78 (267), p.1333-1352

2009

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CONVERGENCE OF THE MAC SCHEME FOR THE COMPRESSIBLE STOKES EQUATIONS

SIAM journal on numerical analysis, 2010-01, Vol.48 (6), p.2218-2246

2010

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Stability of a Crank-Nicolson pressure correction scheme based on staggered discretizations

International journal for numerical methods in fluids, 2014-01, Vol.74 (1), p.34-58

2014

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A convergent finite element-finite volume scheme for the compressible Stokes problem. Part II: the isentropic case

Mathematics of computation, 2010-04, Vol.79 (270), p.649-675

2010

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An L2-stable approximation of the Navier-Stokes convection operator for low-order non-conforming finite elements

International journal for numerical methods in fluids, 2011-06, Vol.66 (5), p.555-580

2011

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A finite element penalty–projection method for incompressible flows

Journal of computational physics, 2006-09, Vol.217 (2), p.502-518

2006

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A centered limited finite volume approximation of the momentum convection operator for low‐order nonconforming face‐centered discretizations

Birefringent strands drive the flow of viscoelastic fluids past obstacles

Convergence of the Marker-and-Cell Scheme for the Incompressible Navier–Stokes Equations on Non-uniform Grids

Lax–Wendroff consistency of finite volume schemes for systems of non linear conservation laws: extension to staggered schemes

On some implicit and semi-implicit staggered schemes for the shallow water and Euler equations

Modelling of a spherical deflagration at constant speed

On the weak consistency of finite volumes schemes for conservation laws on general meshes

Compactness of discrete approximate solutions to parabolic PDEs - Application to a turbulence model

A formally second-order cell centred scheme for convection-diffusion equations on general grids

Low Mach number limit of some staggered schemes for compressible barotropic flows

MUSCL Discretization for the Fluid Flow Convection Operator on Staggered Meshes

Conservativity and weak consistency of a class of staggered finite volume methods for the Euler equations

A Second Order Numerical Scheme for Large-Eddy Simulation of Compressible Flows

A convergent staggered scheme for the variable density incompressible Navier-Stokes equations

Convergence of the MAC scheme for the compressible stationary Navier-Stokes equations

3-Dimensional Particulate Flow Modelling Using a Viscous Penalty Combined with a Stable Projection Scheme

Convergence of the Fully Discrete Incremental Projection Scheme for Incompressible Flows

Convergence of the MAC Scheme for the Steady-State Incompressible Navier-Stokes Equations on Non-uniform Grids

A Marker-and-Cell Scheme for Viscoelastic Flows on Non Uniform Grids

A convergent finite element-finite volume scheme for the compressible Stokes problem. Part I: The isothermal case

CONVERGENCE OF THE MAC SCHEME FOR THE COMPRESSIBLE STOKES EQUATIONS

Stability of a Crank-Nicolson pressure correction scheme based on staggered discretizations

A convergent finite element-finite volume scheme for the compressible Stokes problem. Part II: the isentropic case

An L2-stable approximation of the Navier-Stokes convection operator for low-order non-conforming finite elements

A finite element penalty–projection method for incompressible flows

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