An efficient, accurate, simple ALE method for nonlinear finite element programs
Computer Methods in Applied Mechanics and Engineering
Momentum advection on a staggered mesh
Journal of Computational Physics
Computational methods in Lagrangian and Eulerian hydrocodes
Computer Methods in Applied Mechanics and Engineering
Journal of Computational Physics
The construction of compatible hydrodynamics algorithms utilizing conservation of total energy
Journal of Computational Physics
A tensor artificial viscosity using a mimetic finite difference algorithm
Journal of Computational Physics
Reference Jacobian optimization-based rezone strategies for arbitrary Lagrangian Eulerian methods
Journal of Computational Physics
An efficient linearity-and-bound-preserving remapping method
Journal of Computational Physics
The repair paradigm: New algorithms and applications to compressible flow
Journal of Computational Physics
Journal of Computational Physics
Multi-material interface reconstruction on generalized polyhedral meshes
Journal of Computational Physics
A high order ENO conservative Lagrangian type scheme for the compressible Euler equations
Journal of Computational Physics
A high order accurate conservative remapping method on staggered meshes
Applied Numerical Mathematics
Journal of Computational Physics
Journal of Computational Physics
Journal of Computational Physics
Metric-based mesh adaptation for 2D Lagrangian compressible flows
Journal of Computational Physics
An unconditionally stable fully conservative semi-Lagrangian method
Journal of Computational Physics
On simplifying 'incremental remap'-based transport schemes
Journal of Computational Physics
A space-time smooth artificial viscosity method for nonlinear conservation laws
Journal of Computational Physics
Journal of Computational Physics
An adaptive discretization of incompressible flow using a multitude of moving Cartesian grids
Journal of Computational Physics
Conservative multi-material remap for staggered multi-material Arbitrary Lagrangian-Eulerian methods
Journal of Computational Physics
Scientific Programming - A New Overview of the Trilinos Project --Part 1
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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 remapping algorithm consists of three stages. A gathering stage, in which we interpolate momentum, internal energy, and kinetic energy to the subcells in a conservative way. A subcell remapping stage, in which we conservatively remap mass, momentum, internal, and kinetic energy from the subcells of the Lagrangian mesh to the subcells of the new rezoned mesh. A scattering stage, in which we conservatively recover the primary variables: subcell density, nodal velocity, and cell-centered specific internal energy on the new rezoned mesh. We prove that our new remapping algorithm is conservative, reversible, and satisfies the DeBar consistency condition. We also demonstrate computationally that our new remapping method is robust and accurate for a series of test problems in one and two dimensions.