Introduction to Solid Modeling
Introduction to Solid Modeling
Computational methods in Lagrangian and Eulerian hydrocodes
Computer Methods in Applied Mechanics and Engineering
Delaunay mesh generation governed by metric specifications. Part I algorithms
Finite Elements in Analysis and Design
An arbitrary Lagrangian-Eulerian computing method for all flow speeds
Journal of Computational Physics - Special issue: commenoration of the 30th anniversary
Compatible fluxes for van Leer advection
Journal of Computational Physics
The construction of compatible hydrodynamics algorithms utilizing conservation of total energy
Journal of Computational Physics
Journal of Computational Physics
A subcell remapping method on staggered polygonal grids for arbitrary-Lagrangian-Eulerian methods
Journal of Computational Physics
Parallel anisotropic 3D mesh adaptation by mesh modification
Engineering with Computers
Mesh Generation: Application to Finite Elements
Mesh Generation: Application to Finite Elements
Reconstruction of multi-material interfaces from moment data
Journal of Computational Physics
Multi-scale Godunov-type method for cell-centered discrete Lagrangian hydrodynamics
Journal of Computational Physics
A polyhedron representation for computer vision
AFIPS '75 Proceedings of the May 19-22, 1975, national computer conference and exposition
Journal of Computational Physics
Journal of Computational Physics
The Arcane development framework
Proceedings of the 8th workshop on Parallel/High-Performance Object-Oriented Scientific Computing
Reduced-dissipation remapping of velocity in staggered arbitrary Lagrangian-Eulerian methods
Journal of Computational and Applied Mathematics
ReALE: A reconnection-based arbitrary-Lagrangian-Eulerian method
Journal of Computational Physics
Hi-index | 31.45 |
In this paper, we present a method to compute compressible flows in 2D. It uses two steps: a Lagrangian step and a metric-based triangular mesh adaptation step. Computational mesh is locally adapted according to some metric field that depends on physical or geometrical data. This mesh adaptation step embeds a conservative remapping procedure to satisfy consistency with Euler equations. The whole method is no more Lagrangian. After describing mesh adaptation patterns, we recall the metric formalism. Then, we detail an appropriate remapping procedure which is first-order and relies on exact intersections. We give some hints about the parallel implementation. Finally, we present various numerical experiments which demonstrate the good properties of the algorithm.