Search Results - "Chalons, C."
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1
Second-order well-balanced Lagrange-projection schemes for blood flow equations
Published in Calcolo (01-12-2021)“…We focus on the development of well-balanced Lagrange-projection schemes applied to the one-dimensional blood flow system of balance laws. Here we neglect the…”
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A Godunov-type method for the seven-equation model of compressible two-phase flow
Published in Computers & fluids (30-01-2012)“…We are interested in the numerical approximation of the solutions of the compressible seven-equation two-phase flow model. We propose a numerical srategy based…”
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3
A simple three‐wave approximate Riemann solver for the Saint‐Venant‐Exner equations
Published in International journal for numerical methods in fluids (10-08-2018)“…Summary Erosion and sediments transport processes have a great impact on industrial structures and on water quality. Despite its limitations, the…”
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A 2×2 hyperbolic system modelling incompressible two phase flows: theory and numerics
Published in Nonlinear differential equations and applications (2017)“…We propose a 2 × 2 hyperbolic system of conservation laws to model the dynamics of two incompressible fluids in mechanical disequilibrium. In the theoretical…”
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5
Asymptotic-preserving Godunov-type numerical schemes for hyperbolic systems with stiff and nonstiff relaxation terms
Published in Numerical methods for partial differential equations (01-07-2013)“…We devise a new class of asymptotic‐preserving Godunov‐type numerical schemes for hyperbolic systems with stiff and nonstiff relaxation source terms governed…”
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6
Navier-Stokes equations with several independent pressure laws and explicit predictor-corrector schemes
Published in Numerische Mathematik (01-09-2005)“…This work is concerned with the numerical capture of stiff viscous shock solutions of Navier-Stokes equations for complex compressible materials, in the regime…”
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7
TIME-IMPLICIT APPROXIMATION OF THE MULTIPRESSURE GAS DYNAMICS EQUATIONS IN SEVERAL SPACE DIMENSIONS
Published in SIAM journal on numerical analysis (01-01-2010)“…The present work is devoted to the numerical approximation of the solutions of the inviscid limit of multipressure Navier-Stokes equations in several space…”
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8
Coupling of general Lagrangian systems
Published in Mathematics of computation (01-04-2008)“…This work is devoted to the coupling of two fluid models, such as two Euler systems in Lagrangian coordinates, at a fixed interface. We define coupling…”
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Relaxation methods and coupling procedures
Published in International journal for numerical methods in fluids (20-03-2008)“…This paper studies a global relaxation method to ensure the conservative coupling at a fixed interface of two Euler systems with different pressure laws…”
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Journal Article Conference Proceeding -
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High-Order Entropy-Conservative Schemes and Kinetic Relations for van der Waals Fluids
Published in Journal of computational physics (20-03-2001)“…We consider the mixed (hyperbolic–elliptic) system of two conservation laws modeling the dynamics of van der Waals fluids. Viscosity and capillarity effects…”
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A fully discrete scheme for diffusive-dispersive conservation laws
Published in Numerische Mathematik (01-09-2001)Get full text
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12
On well-balanced implicit-explicit Lagrange-projection schemes for two-layer shallow water equations
Published in Applied mathematics and computation (01-04-2023)“…•Two-layer shallow water equations in Lagrangian coordinates.•Implicit-explicit well-balanced Lagrange-projection schemes.•Well-balanced approximate Riemann…”
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13
A $$\varvec{2\times 2}$$ hyperbolic system modelling incompressible two phase flows: theory and numerics
Published in Nonlinear differential equations and applications (01-08-2017)Get full text
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14
TIME-IMPLICIT APPROXIMATION OF THE MULTIPRESSURE GAS DYNAMICS EQUATIONS IN SEVERAL SPACE DIMENSIONS
Published in SIAM journal on numerical analysis (2011)Get full text
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15
Fully well-balanced, positive and simple approximate Riemann solver for shallow water equations
Published in Boletim da Sociedade Brasileira de Matemática (01-03-2016)“…The present work is focused on the numerical approximation of the shallow water equations. When studying this problem, one faces at least two important issues,…”
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A CONSERVATIVE AND CONVERGENT SCHEME FOR UNDERCOMPRESSIVE SHOCK WAVES
Published in SIAM journal on numerical analysis (01-01-2014)“…Undercompressive shock waves arise in numerous physical applications. We propose a class of conservative finite-volume type schemes to approximate weak…”
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