4 citations · 4 across the 4 of their papers we have counts for
9 papers
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…
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…
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…