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20162021
most citedA high-order nonconservative approach for hyperbolic equations in fluid dynamics

50 citations · 69 across the 7 of their papers we have counts for

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5 papers · 1 filter

math.NA2019★ 4 cited

"A Posteriori" Limited High Order and Robust Residual Distribution Schemes for Transient Simulations of Fluid Flows in Gas Dynamics

Paola Bacigaluppi, Rémi Abgrall, Svetlana Tokareva

In this paper, we propose a novel approximation strategy for time-dependent hyperbolic systems of conservation laws for the Euler system of gas dynamics that aims to represent the…

math.NA2019

Implementation and Evaluation of Breaking Detection Criteria for a Hybrid Boussinesq Model

Paola Bacigaluppi, Mario Ricchiuto, Philippe Bonneton

The aim of the present work is to develop a model able to represent the propagation and transformation of waves in nearshore areas. The focus is on the phenomena of wave breaking,…

math.NA2018★ 2 cited

High-order residual distribution scheme for the time-dependent Euler equations of fluid dynamics

Remi Abgrall, Paola Bacigaluppi, Tokareva Svetlana

In the present work, a high order finite element type residual distribution scheme is designed in the framework of multidimensional compressible Euler equations of gas dynamics. Th…

math.NA2017★ 50 cited

A high-order nonconservative approach for hyperbolic equations in fluid dynamics

Remi Abgrall, P Bacigaluppi, S Tokareva

It is well known, thanks to Lax-Wendroff theorem, that the local conservation of a numerical scheme for a conservative hyperbolic system is a simple and systematic way to guarantee…

math.NA2016★ 9 cited

How to avoid mass matrix for linear hyperbolic problems

Remi Abgrall, Paola Bacigaluppi, Svetlana Tokareva

We are interested in the numerical solution of linear hyperbolic problems using continuous finite elements of arbitrary order. It is well known that this kind of methods, once the…