Efficient volume computation for three-dimensional hexahedral cells
Journal of Computational Physics
Local adaptive mesh refinement for shock hydrodynamics
Journal of Computational Physics
An efficient, accurate, simple ALE method for nonlinear finite element programs
Computer Methods in Applied Mechanics and Engineering
Multidimensional upwind methods for hyperbolic conservation laws
Journal of Computational Physics
Three-dimensional adaptive mesh refinement for hyperbolic conservation laws
SIAM Journal on Scientific Computing
An unsplit 3D upwind method for hyperbolic conservation laws
Journal of Computational Physics
An adaptive Cartesian grid method for unsteady compressible flow in irregular regions
Journal of Computational Physics
The construction of compatible hydrodynamics algorithms utilizing conservation of total energy
Journal of Computational Physics
Computer Simulation of Dynamic Phenomena
Computer Simulation of Dynamic Phenomena
Conditions of Nondegeneracy of Three-Dimensional Cells. A Formula of a Volume of Cells
SIAM Journal on Scientific Computing
Computation of fluid flows in non-inertial contracting, expanding, and rotating reference frames
Journal of Computational Physics
International Journal of Computational Fluid Dynamics
Adaptive moment-of-fluid method
Journal of Computational Physics
Journal of Computational Physics
Journal of Computational Physics
ReALE: A reconnection-based arbitrary-Lagrangian-Eulerian method
Journal of Computational Physics
Metric-based mesh adaptation for 2D Lagrangian compressible flows
Journal of Computational Physics
Conservative multi-material remap for staggered multi-material Arbitrary Lagrangian-Eulerian methods
Journal of Computational Physics
Hi-index | 31.48 |
A new algorithm that combines staggered grid arbitrary Lagrangian-Eulerian (ALE) techniques with structured local adaptive mesh refinement (AMR) has been developed for the solution of the Euler equations. The novel components of the method are driven by the need to reconcile traditional AMR techniques with the staggered variables and moving, deforming meshes associated with Lagrange based ALE schemes. Interlevel coupling is achieved with refinement and coarsening operators, as well as mesh motion boundary conditions. Elliptic mesh relaxation schemes are extended for use within the context of an adaptive mesh hierarchy. Numerical examples are used to highlight the utility of the method over single level ALE solution methods, facilitating substantial efficiency improvements and enabling the efficient solution of a highly resolved three-dimensional Richtmyer-Meshkov instability problem.