133 citations · 543 across the 31 of their papers we have counts for
32 papers
Two-scale modelling of two-phase flows based on the Stationary Action Principle and a Geometric Method Of Moments
Arthur Loison, Teddy Pichard, Samuel Kokh +1
In this contribution, we introduce a versatile formalism to derive unified two-phase models describing both the separated and disperse regimes. It relies on the stationary action p…
Numerical challenges in the simulation of 1D bounded low-temperature plasmas with charge separation in various collisional regimes
Louis Reboul, Marc Massot, Alejandro Alvarez Laguna
We study a 1D geometry of a plasma confined between two conducting floating walls with applications to laboratory plasmas. These plasmas are characterized by a quasi-neutral bulk t…
Second-order uniformly asymptotic-preserving space-time-ImEx schemes for hyperbolic balance laws with stiff relaxation
Louis Reboul, Teddy Pichard, Marc Massot
We consider hyperbolic systems of conservation laws with relaxation source terms leading to a diffusive asymptotic limit under a parabolic scaling. We introduce a new class of seco…
Finite Difference formulation of any lattice Boltzmann scheme
Thomas Bellotti, Benjamin Graille, Marc Massot
Lattice Boltzmann schemes rely on the enlargement of the size of the target problem in order to solve PDEs in a highly parallelizable and efficient kinetic-like fashion, split into…
High accuracy analysis of adaptive multiresolution-based lattice Boltzmann schemes via the equivalent equations
Thomas Bellotti, Loïc Gouarin, Benjamin Graille +1
Multiresolution provides a fundamental tool based on the wavelet theory to build adaptive numerical schemes for Partial Differential Equations and time-adaptive meshes, allowing fo…
Revisiting the framework for intermittency in Lagrangian stochastic models for turbulent flows: a way to an original and versatile numerical approach
Roxane Letournel, Ludovic Goudenège, Rémi Zamansky +2
The characterization of intermittency in turbulence has its roots in the K62 theory, and if no proper definition is to be found in the literature, statistical properties of intermi…
Multidimensional fully adaptive lattice Boltzmann methods with error control based on multiresolution analysis
Thomas Bellotti, Loïc Gouarin, Benjamin Graille +1
Lattice-Boltzmann methods are known for their simplicity, efficiency and ease of parallelization, usually relying on uniform Cartesian meshes with a strong bond between spatial and…
Multiresolution-based mesh adaptation and error control for lattice Boltzmann methods with applications to hyperbolic conservation laws
Loïc Gouarin, Benjamin Graille, Marc Massot +1
Lattice Boltzmann Methods (LBM) stand out for their simplicity and computational efficiency while offering the possibility of simulating complex phenomena. While they are optimal f…
High-order adaptive time discretisation of one-dimensional low-Mach reacting flows: a case study of solid propellant combustion
Laurent François, Joël Dupays, Dmitry Davidenko +1
Solving the reactive low-Mach Navier-Stokes equations with high-order adaptive methods in time is still a challenging problem, in particular due to the handling of the algebraic va…
Travelling wave mathematical analysis and efficient numerical resolution for a one-dimensional model of solid propellant combustion
Laurent Francois, Joël Dupays, Dmitry Davidenko +1
We investigate a model of solid propellant combustion involving surface pyrolysis coupled to finite activation energy gas phase combustion. Existence and uniqueness of a travelling…
Initiation of a validation strategy of reduced-order two-fluid flow models using direct numerical simulations in the context of jet atomization
Pierre Cordesse, A. Murrone, T. Ménard +1
In industrial applications, developing predictive tools relying on numerical simulations using reduced-order models nourish the need of building a validation strategy. In the conte…
Entropy supplementary conservation law for non-linear systems of PDEs with non-conservative terms: application to the modelling and analysis of complex fluid flows using computer algebra
Pierre Cordesse, Marc Massot
In the present contribution, we investigate first-order nonlinear systems of partial differential equations which are constituted of two parts: a system of conservation laws and no…
Validation strategy of reduced-order two-fluid flow models based on a hierarchy of direct numerical simulations
Pierre Cordesse, Alberto Remigi, Benjamin Duret +4
Whereas direct numerical simulation (DNS) have reached a high level of description in the field of atomization processes, they are not yet able to cope with industrial needs since…
Derivation of a two-phase flow model with two-scale kinematics, geometric variables and surface tension using variational calculus
Pierre Cordesse, Samuel Kokh, Ruben Di Battista +2
The present paper proposes a two-phase flow model that is able to account for two-scale kinematics and two-scale surface tension effects based on geometric variables at small scale…
Consistent transport properties in multicomponent two-temperature magnetized plasmas:
Alejandro Alvarez Laguna, Quentin Wargnier, A. Laguna +4
A fluid model is developed for multicomponent two-temperature magnetized plasmas in chemical non-equilibrium from the partially- to fully-ionized collisional regimes. We focus on t…
Statistical and probabilistic modeling of a cloud of particles coupled with a turbulent fluid
Ludovic Goudenège, Adam Larat, Julie Llobell +4
This paper exposes a novel exploratory formalism, which end goal is the numerical simulation of the dynamics of a cloud of particles weakly or strongly coupled with a turbulent flu…
Numerical treatment of the nonconservative product in a multiscale fluid model for plasmas in thermal nonequilibrium: application to solar physics
Quentin Wargnier, Sylvain Faure, Benjamin Graille +2
This contribution deals with the modeling of collisional multicomponent magnetized plasmas in thermal and chemical nonequilibrium aiming at simulating and predicting magnetic recon…
Experimenting with the p4est library for AMR simulations of two-phase flows
Florence Drui, Alexandru Fikl, Pierre Kestener +4
Many physical problems involve spatial and temporal inhomogeneities that require a very fine discretization in order to be accurately simulated. Using an adaptive mesh, a high leve…
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…
High order moment model for polydisperse evaporating sprays towards interfacial geometry
Mohamed Essadki, Stephane De Chaisemartin, Frédérique Laurent +1
In this paper we propose a new Eulerian modeling and related accurate and robust numerical methods, describing polydisperse evaporating sprays, based on high order moment methods i…
A hierarchy of simple hyperbolic two-fluid models for bubbly flows
Florence Drui, Adam Larat, Samuel Kokh +1
With the objective of modeling both separate and disperse two-phase flows, we use in this paper a methodology for deriving two-fluid models that do not assume any flow topology. Th…
Task-based adaptive multiresolution for time-space multi-scale reaction-diffusion systems on multi-core architectures
Stéphane Descombes, Max Duarte, Thierry Dumont +3
A new solver featuring time-space adaptation and error control has been recently introduced to tackle the numerical solution of stiff reaction-diffusion systems. Based on operator…
Analysis of operator splitting in the non-asymptotic regime for nonlinear reaction-diffusion equations. Application to the dynamics of premixed flames
Stéphane Descombes, Max Duarte, Thierry Dumont +3
In this paper we mathematically characterize through a Lie formalism the local errors induced by operator splitting when solving nonlinear reaction-diffusion equations, especially…
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…