A conservative Eulerian formulation of the equations for elastic flow
Advances in Applied Mathematics
A critical review of the state of finite plasticity
Zeitschrift für Angewandte Mathematik und Physik (ZAMP)
Numerical modeling of hypervelocity impact phenomena with desktop computers
Advances in Engineering Software
Computational methods in Lagrangian and Eulerian hydrocodes
Computer Methods in Applied Mechanics and Engineering
A conservative formulation for plasticity
Advances in Applied Mathematics
Journal of Computational Physics
Tree methods for moving interfaces
Journal of Computational Physics
A non-oscillatory Eulerian approach to interfaces in multimaterial flows (the ghost fluid method)
Journal of Computational Physics
A Boundary Condition Capturing Method for Multiphase Incompressible Flow
Journal of Scientific Computing
Journal of Computational Physics
Journal of Computational Physics
Journal of Computational Physics
A Real Ghost Fluid Method for the Simulation of Multimedium Compressible Flow
SIAM Journal on Scientific Computing
An adaptive ghost fluid finite volume method for compressible gas-water simulations
Journal of Computational Physics
International Journal of Computational Fluid Dynamics
Efficient implementation of essentially non-oscillatory shock-capturing schemes, II
Journal of Computational Physics
ReALE: A reconnection-based arbitrary-Lagrangian-Eulerian method
Journal of Computational Physics
International Journal of Computational Fluid Dynamics
Two-step hybrid conservative remapping for multimaterial arbitrary Lagrangian-Eulerian methods
Journal of Computational Physics
Hi-index | 31.46 |
Techniques are presented to solve problems involving high speed material interactions that can lead to large deformations followed by fragmentation. To simulate such problems in an Eulerian framework on a fixed Cartesian mesh, interfaces (free surfaces as well as interacting material interfaces) are tracked as levelsets; to resolve shocks and interfaces, a quadtree adaptive mesh is employed. This paper addresses issues associated with the treatment of all interfaces as sharp entities by defining ghost fields on each side of the interface. Collisions between embedded objects are resolved using an efficient collision detection algorithm and appropriate interfacial conditions are supplied. Key issues of supplying interfacial conditions at the precise location of the sharp interface and populating the ghost cells with physically consistent values during and beyond fragmentation events are addressed. Numerous examples pertaining to impact, penetration, void collapse and fragmentation phenomena are presented along with careful benchmarking to establish the validity, accuracy and versatility of the approach.