7 citations · 7 across the 5 of their papers we have counts for
6 papers
Dynamical behavior of a nondiffusive scheme for the advection equation
Nina Aguillon, Pierre-Antoine Guiheneuf
We study the long time behaviour of a dynamical system strongly linked to the anti-diffusive scheme of Després and Lagoutiere for the -dimensional transport equation. This schem…
Numerical Approximation of Hyperbolic Systems Containing an Interface
Nina Aguillon, Raul Borsche
In this paper we present an approach to approximate numerically the solution of coupled hyperbolic conservation laws. The coupling is achieved through a fixed interface, in which i…
Capturing nonclassical shocks in nonlinear elastodynamic with a conservative finite volume scheme
Nina Aguillon
For a model of nonlinear elastodynamics, we construct a finite volume scheme which is able to capture nonclassical shocks (also called undercompressive shocks). Those shocks verify…
Convergence of finite volumes schemes for the coupling between the inviscid Burgers equation and a particle
Nina Aguillon, Frédéric Lagoutière, Nicolas Seguin
In this paper, we prove the convergence of a class of finite volume schemes for the model of coupling between a Burgers fluid and a pointwise particle introduced in [LST08]. In thi…
A Non-dissipative Reconstruction Scheme for the Compressible Euler Equations
Nina Aguillon
We present a finite volume scheme, first on the Burgers equations, then on the Euler equations, based on a conservative reconstruction of shocks inside each cells of the mesh. Its…
Riemann problem for a particle-fluid coupling
Nina Aguillon
We present a model of coupling between a point wise particle and a compressible inviscid fluid following the Euler equations. The interaction between the fluid and the particle is…