1.6k citations
- Centre National de la Recherche ScientifiqueFR542 papers
- Aix-Marseille UniversitéFR531 papers
- Institut Polytechnique de BordeauxFR309 papers
- Centrale MéditerranéeFR279 papers
- Château GombertFR213 papers
- Institut de Mécanique et d'Ingénierie de BordeauxFR110 papers
- Université de Provence Aix-Marseille IFR33 papers
- Centre de Physique ThéoriqueFR32 papers
- Institut de Mathématiques de Jussieu-Paris Rive GaucheFR26 papers
- Institut de Mathématiques de ToulouseFR25 papers
- Laboratoire d’Analyse et de Mathématiques AppliquéesFR25 papers
- École Normale Supérieure - PSLFR19 papers
53 papers · 1 filter
Local cubic spline interpolation for Vlasov-type equations on a multi-patch geometry
Pauline Vidal, Emily Bourne, Virginie Grandgirard +2
We present a semi-Lagrangian method for the numerical resolution of Vlasov-type equations on multi-patch meshes. Following N. Crouseilles et al. [A parallel Vlasov solver based on…
A Characteristic Mapping Method with Source Terms: Applications to Ideal Magnetohydrodynamics
Xi-Yuan Yin, Philipp Krah, Jean-Christophe Nave +1
This work introduces a generalized characteristic mapping method designed to handle non-linear advection with source terms. The semi-Lagrangian approach advances the flow map, inco…
A robust shifted proper orthogonal decomposition: Proximal methods for decomposing flows with multiple transports
Philipp Krah, Arthur Marmin, Beata Zorawski +2
We present a new methodology for decomposing flows with multiple transports that further extends the shifted proper orthogonal decomposition (sPOD). The sPOD tries to approximate t…
A Characteristic Mapping Method for Vlasov-Poisson with Extreme Resolution Properties
Philipp Krah, Xi-Yuan Yin, Julius Bergmann +2
We propose an efficient semi-Lagrangian characteristic mapping method for solving the one+one-dimensional Vlasov-Poisson equations with high precision on a coarse grid. The flow ma…
Macro-micro decomposition for consistent and conservative model order reduction of hyperbolic shallow water moment equations: A study using POD-Galerkin and dynamical low rank approximation
Julian Koellermeier, Philipp Krah, Jonas Kusch
Geophysical flow simulations using hyperbolic shallow water moment equations require an efficient discretization of a potentially large system of PDEs, the so-called moment system.…
Computing differential operators of the particle velocity in moving particle clouds using tessellations
Thibault Maurel-Oujia, Keigo Matsuda, Kai Schneider
We propose finite-time measures to compute the divergence, the curl and the velocity gradient tensor of the point particle velocity for two- and three-dimensional moving particle c…