33 citations · 34 across the 6 of their papers we have counts for
11 papers · 1 filter
Evaluating a distance function
Rémi Abgrall
Computing the distance function to some surface or line is a problem that occurs very frequently. There are several ways of computing a relevant approximation of this function, usi…
Conservative scheme compatible with some other conservation laws: conservation of the local angular momentum
Rémi Abgrall, Fatemeh Nassajian Mojarrad
We are interested in building schemes for the compressible Euler equations that are also locally conserving the angular momentum. We present a general framework, describe a few exa…
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…
THINC scaling method that bridges VOF and level set schemes
Ronit Kumar, Lidong Cheng, Yunong Xiong +3
We present a novel interface-capturing scheme, THINC-scaling, to unify the VOF (volume of fluid) and the level set methods, which have been developed as two different approaches wi…
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 to the 1D Euler equations
Rémi Abgrall
We show how to combine in a natural way (i.e. without any test nor switch) the conservative and non conservative formulations of an hyperbolic system that has a conservative form.…
Neural network based limiter with transfer learning
Maria Han Veiga, Rémi Abgrall
A neural network is trained using simulation data from a Runge Kutta discontinuous Galerkin (RKDG) method and a modal high order limiter. With this methodology, we design one and t…