b'R\xc3\xa9mi Abgrall'

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research

∙ 07/19/2023

Novel well-balanced continuous interior penalty stabilizations

In this work, in a monodimensional setting, the high order accuracy and ...

0 Lorenzo Micalizzi, et al. ∙

research

∙ 04/18/2023

A personal discussion on conservation, and how to formulate it

Since the celebrated theorem of Lax and Wendroff, we know a necessary co...

0 Rémi Abgrall, et al. ∙

research

∙ 04/16/2023

A New Approach for Designing Well-Balanced Schemes for the Shallow Water Equations: A Combination of Conservative and Primitive Formulations

In this paper, we introduce a new approach for constructing robust well-...

0 Rémi Abgrall, et al. ∙

research

∙ 04/16/2023

An arbitrarily high order and asymptotic preserving kinetic scheme in compressible fluid dynamic

We present a class of arbitrarily high order fully explicit kinetic nume...

0 Rémi Abgrall, et al. ∙

research

∙ 03/29/2023

A Monte-Carlo ab-initio algorithm for the multiscale simulation of compressible multiphase flows

We propose a novel Monte-Carlo based ab-initio algorithm for directly co...

0 Marco Petrella, et al. ∙

research

∙ 12/21/2022

A Posteriori local subcell correction of high-order discontinuous Galerkin scheme for conservation laws on two-dimensional unstructured grids

We present the two-dimensional unstructured grids extension of the a pos...

0 François Vilar, et al. ∙

research

∙ 11/04/2022

Evaluating a distance function

Computing the distance function to some surface or line is a problem tha...

0 Rémi Abgrall, et al. ∙

research

∙ 08/30/2022

A hybrid finite element - finite volume method for conservation laws

We propose an arbitrarily high-order accurate numerical method for conse...

0 Rémi Abgrall, et al. ∙

research

∙ 08/30/2022

Extensions of Active Flux to arbitrary order of accuracy

Active Flux is a recently developed numerical method for hyperbolic cons...

0 Rémi Abgrall, et al. ∙

research

∙ 07/25/2022

On the convergence of residual distribution schemes for the compressible Euler equations via dissipative weak solutions

In this work, we prove the convergence of residual distribution schemes ...

0 Rémi Abgrall, et al. ∙

research

∙ 06/13/2022

Spectral analysis of high order continuous FEM for hyperbolic PDEs on triangular meshes: influence of approximation, stabilization, and time-stepping

In this work we study various continuous finite element discretization f...

0 Sixtine Michel, et al. ∙

research

∙ 04/03/2022

On the discrete equation model for compressible multiphase fluid flows

The modeling of multi-phase flow is very challenging, given the range of...

0 Marco Petrella, et al. ∙

research

∙ 03/21/2022

A discontinuous Galerkin spectral element method for a nonconservative compressible multicomponent flow model

In this work, we propose an accurate, robust, and stable discretization ...

0 Rémi Abgrall, et al. ∙

research

∙ 01/12/2022

Conservative scheme compatible with some other conservation laws: conservation of the local angular momentum

We are interested in building schemes for the compressible Euler equatio...

0 Rémi Abgrall, et al. ∙

research

∙ 11/20/2021

Staggered Residual Distribution scheme for compressible flow

This paper is focused on the approximation of the Euler equation of comp...

0 Rémi Abgrall, et al. ∙

research

∙ 09/17/2021

Hyperbolic balance laws: residual distribution, local and global fluxes

This paper describes a class of scheme named "residual distribution sche...

0 Rémi Abgrall, et al. ∙

research

∙ 07/26/2021

A pressure-based method for weakly compressible two-phase flows under a Baer-Nunziato type model with generic equations of state and pressure and velocity disequilibrium

Within the framework of diffuse interface methods, we derive a pressure-...

0 Barbara Re, et al. ∙

research

∙ 06/09/2021

Relaxation Deferred Correction Methods and their Applications to Residual Distribution Schemes

In [1] is proposed a simplified DeC method, that, when combined with the...

0 Rémi Abgrall, et al. ∙

research

∙ 05/26/2021

Assessment of a non-conservative four-equation multiphase system with phase transition

This work focuses on the formulation of a four-equation model for simula...

0 Paola Bacigaluppi, et al. ∙

research

∙ 04/14/2021

High Order Residual Distribution Conservative Finite Difference HWENO Scheme for Steady State Problems

In this paper, we develop a high order residual distribution (RD) method...

0 Jianfang Lin, et al. ∙

research

∙ 03/30/2021

Spectral analysis of continuous FEM for hyperbolic PDEs: influence of approximation, stabilization, and time-stepping

We study continuous finite element dicretizations for one dimensional hy...

0 Sixtine Michel, et al. ∙

research

∙ 03/17/2021

THINC scaling method that bridges VOF and level set schemes

We present a novel interface-capturing scheme, THINC-scaling, to unify t...

0 Ronit Kumar, et al. ∙

research

∙ 11/25/2020

A combination of Residual Distribution and the Active Flux formulations or a new class of schemes that can combine several writings of the same hyperbolic problem: application

We show how to combine in a natural way (i.e. without any test nor switc...

0 Rémi Abgrall, et al. ∙

research

∙ 06/02/2020

On the simulation of multicomponent and multiphase compressible flows

The following paper presents two simulation strategies for compressible ...

0 Rémi Abgrall, et al. ∙

research

∙ 12/19/2019

Neural network based limiter with transfer learning

A neural network is trained using simulation data from a Runge Kutta dis...

0 Maria Han Veiga, et al. ∙

research

∙ 12/18/2019

Analysis of the SBP-SAT Stabilization for Finite Element Methods Part II: Entropy Stability

In the research community, there exists the strong belief that a continu...

0 Rémi Abgrall, et al. ∙

research

∙ 12/17/2019

Analysis of the SBP-SAT Stabilization for Finite Element Methods Part I: Linear problems

A pure Galerkin scheme is notoriously unstable. To remedy this issue, st...

0 Rémi Abgrall, et al. ∙

research

∙ 11/01/2019

Non-equilibrium Model for Weakly Compressible Multi-component Flows: the Hyperbolic Operator

We present a novel pressure-based method for weakly compressible multiph...

0 Barbara Re, et al. ∙

research

∙ 10/14/2019

General polytopial H(div) conformal finite elements and their discretisation spaces

We present a class of discretisation spaces and H(div)-conformal element...

0 Rémi Abgrall, et al. ∙

research

∙ 08/13/2019

Reinterpretation and Extension of Entropy Correction Terms for Residual Distribution and Discontinuous Galerkin Schemes

For the general class of residual distribution (RD) schemes, including m...

0 Rémi Abgrall, et al. ∙

research

∙ 07/19/2019

A class of finite dimensional spaces and H(div) conformal elements on general polytopes

We present a class of discretisation spaces and H(div)-conformal element...

0 Rémi Abgrall, et al. ∙

research

∙ 03/15/2018

Capturing near-equilibrium solutions: a comparison between high-order Discontinuous Galerkin methods and well-balanced schemes

Equilibrium or stationary solutions usually proceed through the exact ba...

0 Maria Han Veiga, et al. ∙

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