31 citations · 90 across the 9 of their papers we have counts for
11 papers
High-order In-cell Discontinuous Reconstruction path-conservative methods for nonconservative hyperbolic systems -- DR.MOOD generalization
Ernesto Pimentel-García, Manuel J. Castro, Christophe Chalons +1
In this work we develop a new framework to deal numerically with discontinuous solutions in nonconservative hyperbolic systems. First an extension of the MOOD methodology to noncon…
A low Mach two-speed relaxation scheme for the compressible Euler equations with gravity
Claudius Birke, Christophe Chalons, Christian Klingenberg
We present a numerical approximation of the solutions of the Euler equations with a gravitational source term. On the basis of a Suliciu type relaxation model with two relaxation s…
In-cell Discontinuous Reconstruction path-conservative methods for non conservative hyperbolic systems -- Second-order extension
Ernesto Pimentel-García, Manuel J. Castro, Christophe Chalons +2
We are interested in the numerical approximation of discontinuous solutions in non conservative hyperbolic systems. An extension to second-order of a new strategy based on in-cell…
An all-regime and well-balanced Lagrange-projection type scheme for the shallow water equations on unstructured meshes
Christophe Chalons, Samuel Kokh, Maxime Stauffert
In this work, we focus on the numerical approximation of the shallow water equations in two space dimensions. Our aim is to propose a well-balanced, all-regime and positive scheme.…
High order numerical schemes for one-dimension non-local conservation laws
Christophe Chalons, Paola Goatin, Luis Villada
This paper focuses on the numerical approximation of the solutions of non-local conservation laws in one space dimension. These equations are motivated by two distinct applications…
Multivariate Gaussian extended quadrature method of moments for turbulent disperse multiphase flow
Christophe Chalons, Frédérique Laurent, Marc Massot +1
The present contribution introduces a fourth-order moment formalism for particle trajectory crossing (PTC) in the framework of multiscale modeling of disperse multiphase flow. In o…
A large time-step and well-balanced Lagrange-Projection type scheme for the shallow-water equations
Christophe Chalons, Pierre Kestener, Samuel Kokh +1
This work focuses on the numerical approximation of the Shallow Water Equations (SWE) using a Lagrange-Projection type approach. We propose to extend to this context recent implici…
On the Eulerian Large Eddy Simulation of disperse phase flows: an asymptotic preserving scheme for small Stokes number flows
Christophe Chalons, Marc Massot, Aymeric Vié
In the present work, the Eulerian Large Eddy Simulation of dilute disperse phase flows is investigated. By highlighting the main advantages and drawbacks of the available approache…
Computing material fronts with a Lagrange-Projection approach
Christophe Chalons, Frédéric Coquel
This paper reports investigations on the computation of material fronts in multi-fluid models using a Lagrange-Projection approach. Various forms of the Projection step are conside…
Beyond pressureless gas dynamics: Quadrature-based velocity moment models
Christophe Chalons, Damien Kah, Marc Massot
Following the seminal work of F. Bouchut on zero pressure gas dynamics which has been extensively used for gas particle-flows, the present contribution investigates quadrature-base…
Convergent and conservative schemes for nonclassical solutions based on kinetic relations
Benjamin Boutin, Christophe Chalons, Frederic Lagoutiere +1
We propose a new numerical approach to compute nonclassical solutions to hyperbolic conservation laws. The class of finite difference schemes presented here is fully conservative a…