41 citations · 62 across the 9 of their papers we have counts for
9 papers
Well-Balanced Schemes for Hyperbolic Kinetic Relaxation
León Ávila, Manuel Castro, Victor Michel-Dansac +1
This work presents a novel family of well-balanced numerical schemes for hyperbolic systems of balance laws based on the kinetic relaxation approach. The method begins by transform…
TVD-MOOD schemes based on implicit-explicit time integration
Victor Michel-Dansac, Andrea Thomann
The context of this work is the development of first order total variation diminishing (TVD) implicit-explicit (IMEX) Runge-Kutta (RK) schemes as a basis of a Multidimensional Opti…
A fully well-balanced hydrodynamic reconstruction
Christophe Berthon, Victor Michel-Dansac
The present work focuses on the numerical approximation of the weak solutions of the shallow water model over a non-flat topography. In particular, we pay close attention to steady…
Towards a fully well-balanced and entropy-stable scheme for the Euler equations with gravity: General equations of state
Victor Michel-Dansac, Andrea Thomann
The present work concerns the derivation of a fully well-balanced Godunov-type finite volume scheme for the Euler equations with a gravitational potential based on an approximate R…
Towards a fully well-balanced and entropy-stable scheme for the Euler equations with gravity: preserving isentropic steady solutions
Christophe Berthon, Victor Michel-Dansac, Andrea Thomann
The present work concerns the derivation of a numerical scheme to approximate weak solutions of the Euler equations with a gravitational source term. The designed scheme is proved…
A high-order, fully well-balanced, unconditionally positivity-preserving finite volume framework for flood simulations
Mirco Ciallella, Lorenzo Micalizzi, Victor Michel-Dansac +2
In this work, we present a high-order finite volume framework for the numerical simulation of shallow water flows. The method is designed to accurately capture complex dynamics inh…
Parallel kinetic schemes for conservation laws, with large time steps
Pierre Gerhard, Philippe Helluy, Victor Michel-Dansac +1
We propose a new parallel Discontinuous Galerkin method for the approximation of hyperbolic systems of conservation laws. The method remains stable with large time steps, while kee…
A two-dimensional high-order well-balanced scheme for the shallow water equations with topography and Manning friction
Victor Michel-Dansac, Christophe Berthon, Stéphane Clain +1
We develop a two-dimensional high-order numerical scheme that exactly preserves and captures the moving steady states of the shallow water equations with topography or Manning fric…
Second order Implicit-Explicit Total Variation Diminishing schemes for the Euler system in the low Mach regime
Giacomo Dimarco, Raphaël Loubère, Victor Michel-Dansac +1
In this work, we consider the development of implicit explicit total variation diminishing (TVD) methods (also termed SSP: strong stability preserving) for the compressible isentro…