Computational methods in Lagrangian and Eulerian hydrocodes
Computer Methods in Applied Mechanics and Engineering
Introduction to “An arbitrary Lagrangian-Eulerian computing method for all flow speeds”
Journal of Computational Physics - Special issue: commenoration of the 30th anniversary
Computational geometry: algorithms and applications
Computational geometry: algorithms and applications
The construction of compatible hydrodynamics algorithms utilizing conservation of total energy
Journal of Computational Physics
Incremental remapping as a transport&slash;advection algorithm
Journal of Computational Physics
Reference Jacobian optimization-based rezone strategies for arbitrary Lagrangian Eulerian methods
Journal of Computational Physics
Journal of Computational Physics
A five equation reduced model for compressible two phase flow problems
Journal of Computational Physics
A subcell remapping method on staggered polygonal grids for arbitrary-Lagrangian-Eulerian methods
Journal of Computational Physics
Multi-material interface reconstruction on generalized polyhedral meshes
Journal of Computational Physics
Reconstruction of multi-material interfaces from moment data
Journal of Computational Physics
A comparative study of interface reconstruction methods for multi-material ALE simulations
Journal of Computational Physics
ReALE: A reconnection-based arbitrary-Lagrangian-Eulerian method
Journal of Computational Physics
Journal of Computational Physics
Two-step hybrid conservative remapping for multimaterial arbitrary Lagrangian-Eulerian methods
Journal of Computational Physics
One-step hybrid remapping algorithm for multi-material arbitrary Lagrangian-Eulerian methods
Journal of Computational Physics
Journal of Computational Physics
Hi-index | 31.45 |
Remapping is one of the essential parts of most multi-material Arbitrary Lagrangian-Eulerian (ALE) methods. In this paper, we present a new remapping approach in the framework of 2D staggered multi-material ALE on logically rectangular meshes. It is based on the computation of the second-order material mass fluxes (using intersections/overlays) to all neighboring cells, including the corner neighbors. Fluid mass is then remapped in a flux form as well as all other fluid quantities (internal energy, pressure). We pay a special attention to the remap of nodal quantities, performed also in a flux form. An optimization-based approach is used for the construction of the nodal mass fluxes. The flux-corrected remap (FCR) approach for flux limiting is employed for the nodal velocity remap, which enforces bound preservation of the remapped constructed velocity field. Several examples of numerical calculations are presented, which demonstrate properties of our remapping method in the context of a full ALE algorithm.