94 citations · 439 across the 45 of their papers we have counts for
8 papers · 1 filter
Staggered schemes for compressible flow: a general construction
Rémi Abgrall
This paper is focused on the approximation of the Euler equations of compressible fluid dynamics on a staggered mesh. With this aim, the flow parameters are described by the veloci…
Hyperbolic balance laws: residual distribution, local and global fluxes
Remi Abgrall, Mario Ricchiuto
This paper describes a class of scheme named "residual distribution schemes" or "fluctuation splitting schemes". They are a generalization of Roe's numerical flux in fluctuation fo…
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
Barbara Re, Rémi Abgrall
Within the framework of diffuse interface methods, we derive a pressure-based Baer-Nunziato type model well-suited to weakly compressible multiphase flows. The model can easily dea…
Relaxation Deferred Correction Methods and their Applications to Residual Distribution Schemes
Rémi Abgrall, Elise Le Mélédo, Philipp Öffner +1
In [1] is proposed a simplified DeC method, that, when combined with the residual distribution (RD) framework, allows to construct a high order, explicit FE scheme with continuous…
Assessment of a non-conservative four-equation multiphase system with phase transition
Paola Bacigaluppi, Julien Carlier, Marica Pelanti +2
This work focuses on the formulation of a four-equation model for simulating unsteady two-phase mixtures with phase transition and strong discontinuities. The main assumption consi…
High Order Residual Distribution Conservative Finite Difference HWENO Scheme for Steady State Problems
Jianfang Lin, Yupeng Ren, Rémi Abgrall +1
In this paper, we develop a high order residual distribution (RD) method for solving steady state conservation laws in a novel Hermite weighted essentially non-oscillatory (HWENO)…