8 citations · 10 across the 4 of their papers we have counts for
5 papers · 1 filter
A Robust High-order Approximation of the Gray Thermal Radiative Transfer Equations
Jean-Luc Guermond, Wyatt M. R. Smith, Eric J. Tovar
We present a high-order, positivity preserving, and asymptotic preserving approximation of the gray radiative transfer equations. The time and space approximation is done using a d…
Invariant-domain preserving IMEX schemes for the nonequilibrium Gray Radiation-Hydrodynamics equations Part I
Jean-Luc Guermond, Eric J. Tovar
In this work we introduce an implicit-explicit invariant-domain preserving approximation of the nonequilibrium gray radiation-hydrodynamics equations. A time and space approximatio…
A high-order explicit Runge-Kutta approximation technique for the Shallow Water Equations
Jean-Luc Guermond, Matthias Maier, Eric Tovar
We introduce a high-order space-time approximation of the Shallow Water Equations with sources that is invariant-domain preserving (IDP) and well-balanced with respect to rest stat…
Robust second-order approximation of the compressible Euler equations with an arbitrary equation of state
Bennett Clayton, Jean-Luc Guermond, Matthias Maier +2
This paper is concerned with the approximation of the compressible Euler equations supplemented with an arbitrary or tabulated equation of state. The proposed approximation techniq…
Hyperbolic relaxation technique for solving the dispersive Serre-Green-Naghdi Equations with topography
Jean-Luc Guermond, Chris Kees, Bojan Popov +1
The objective of this paper is to propose a hyperbolic relaxation technique for the dispersive Serre-Green-Naghdi equations (also known as the fully non-linear Boussinesq equations…