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We describe a new remapping algorithm for use in arbitrary Lagrangian–Eulerian (ALE) simulations. The new features of this remapper are designed to complement a staggered-mesh Lagrangian phase in which the cells may be general polygons (in two dimensions), and which uses subcell discretizations to control unphysical mesh distortion and hourglassing. Our new… (More)

- Raphaël Loubère, Pierre-Henri Maire, Mikhail Yu. Shashkov, Jérôme Breil, Stéphane Galera
- J. Comput. Physics
- 2010

We present a new reconnection-based Arbitrary Lagrangian Eulerian (ALE) method. The main elements in a standard ALE simulation are an explicit Lagrangian phase in which the solution and grid are updated, a rezoning phase in which a new grid is defined, and a remapping phase in which the Lagrangian solution is transferred (conservatively interpolated) onto… (More)

- Michael Dumbser, Olindo Zanotti, Raphaël Loubère, Steven Diot
- J. Comput. Physics
- 2014

The purpose of this work is to propose a novel a posteriori finite volume subcell limiter technique for the Discontinuous Galerkin finite element method for nonlinear systems of hyperbolic conservation laws in multiple space dimensions that works well for arbitrary high order of accuracy in space and time and that does not destroy the natural subcell… (More)

- Stéphane Clain, Steven Diot, Raphaël Loubère
- J. Comput. Physics
- 2011

In this paper, we investigate an original way to deal with the problems generated by the limitation process of high-order finite volume methods based on polynomial reconstructions. Multi-dimensional Optimal Order Detection (MOOD) breaks away from classical limitations employed in high-order methods. The proposed method consists of detecting problematic… (More)

- Pierre-Henri Maire, Rémi Abgrall, Jérôme Breil, Raphaël Loubère, Bernard Rebourcet
- J. Comput. Physics
- 2013

Article history: Received 26 May 2012 Received in revised form 24 September 2012 Accepted 20 October 2012 Available online 8 November 2012

- Samuel P. Schofield, Rao V. Garimella, Marianne M. Francois, Raphaël Loubère
- J. Comput. Physics
- 2009

- Amy L. Bauer, Donald E. Burton, E. J. Caramana, Raphaël Loubère, Mikhail J. Shashkov, P. P. Whalen
- J. Comput. Physics
- 2006

This work explores the somewhat subtle meaning and consequences of the salient properties of the discrete, compatible formulation of Lagrangian hydrodynamics. In particular, since this formulation preserves total energy to roundoff error, the amount of error in the conservation of total energy cannot be used to gauge the internal consistency of… (More)

- Raphaël Loubère, Mikhail Yu. Shashkov, Burton Wendroff
- J. Comput. Physics
- 2008

Staggered grid Lagrangian schemes for compressible hydrodynamics involve a choice of how internal energy is advanced in time. The options depend on two ways of defining cell volumes: an indirect one, that guarantees total energy conservation, and a direct one that computes the volume from its definition as a function of the cell vertices. It is shown that… (More)

- Raphaël Loubère, E. J. Caramana
- J. Comput. Physics
- 2006

This study presents the force and mass discretization of exceptional points in the compatible formulation of Lagrangian hydrodynamics. It concludes a series of papers that develop various aspects of the theoretical exposition and the operational implementation of this numerical algorithm. Exceptional points are grid points at the termination of lines… (More)

This paper deals with the extension to the cylindrical geometry of the recently introduced Reconnection algorithm for Arbitrary-Lagrangian-Eulerian (ReALE) framework. The main elements in standard ALE methods are an explicit Lagrangian phase, a rezoning phase, and a remapping phase. Usually the new mesh provided by the rezone phase is obtained by moving… (More)