#### Filter Results:

- Full text PDF available (10)

#### Publication Year

2011

2017

- This year (3)
- Last 5 years (8)
- Last 10 years (10)

#### Publication Type

#### Co-author

#### Journals and Conferences

Learn More

- Raphaèle Herbin, Walid Kheriji, J.-C. Latché
- 2012

In this paper, we analyze the stability and consistency of a time-implicit scheme and a pressure correction scheme, based on staggered space discretizations, for the compressible barotropic Euler equations. We first show that the solutions to these schemes satisfy a discrete kinetic energy and a discrete elastic potential balance equations. Integrating… (More)

- Raphaèle Herbin, Walid Kheriji, J.-C. Latche
- 2011

We present in this paper a class of schemes for the numerical simulation of compressible flows. In order to ensure the stability of the discretizations in a wide range of Mach numbers and introduce sufficient decoupling for the numerical resolution, we choose to implement and study pressure correction schemes on staggered meshes. The implicit version of the… (More)

- Laura Gastaldo, Raphaèle Herbin, +7 authors J.-C. Latché
- 2017

We present in this paper a class of schemes for the solution of the barotropic NavierStokes equations. These schemes work on general meshes, preserve the stability properties of the continuous problem, irrespectively of the space and time steps, and boil down, when the Mach number vanishes, to discretizations which are standard (and stable) in the… (More)

- Raphaèle Herbin, Walid Kheriji, J.-C. Latché
- 2013

In this paper, we propose implicit and pressure correction schemes for the Euler equations, based on staggered space discretizations, namely the MAC finite volume scheme or the low-order (Rannacher-Turek or Crouzeix-Raviart) finite elements. Both schemes rely on the discretization of the internal energy balance equation, which offers two main advantages:… (More)

- D Grapsas, Raphaèle Herbin, +5 authors J.-C. Latché
- 2017

- Raphaèle Herbin, Walid Kheriji, Jean-Claude Latché, Raphaèle Herbin, Walid Kheriji, J.-C. Latché
- 2014

HAL is a multi-disciplinary open access archive for the deposit and dissemination of scientific research documents, whether they are published or not. The documents may come from teaching and research institutions in France or abroad, or from public or private research centers. L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la… (More)

- Victorita Dolean, Martin J. Gander, Walid Kheriji, Felix Kwok, Roland Masson
- SIAM J. Scientific Computing
- 2016

For linear problems, domain decomposition methods can be used directly as iterative solvers, but also as preconditioners for Krylov methods. In practice, Krylov acceleration is almost always used, since the Krylov method finds a much better residual polynomial than the stationary iteration, and thus converges much faster. We show in this paper that also for… (More)

We assess in this paper the capability of a pressure correction scheme to compute shock solutions of the homogeneous model for barotropic two-phase flows. This scheme is designed to inherit the stability properties of the continuous problem: the unknowns (in particular the density and the dispersed phase mass fraction y) are kept within their physical… (More)

- Walid Kheriji, Roland Masson, Arthur Moncorgé
- Mathematics and Computers in Simulation
- 2015

Abstract. In reservoir simulations, nearwell regions usually require finer space and time scales compared with the remaining of the reservoir domain. We present a domain decomposition algorithm for a two phase Darcy flow model coupling nearwell regions locally refined in space and time with a coarser reservoir discretization. The algorithm is based on an… (More)

- Fabrice Babik, Raphaèle Herbin, +7 authors J.-C. Latché
- 2017

We propose a discretization for the MAC scheme of the viscous dissipation term τ (u) : ∇u (where τ (u) stands for the shear stress tensor associated to the velocity field u), which is suitable for the approximation of this term in a conservation equation for a scalar variable. This discretization enjoys the property that the integral over the computational… (More)

- ‹
- 1
- ›