On the problem of penetration in particle methods
Journal of Computational Physics
The Riemann problem for longitudinal motion in an elastic-plastic bar
SIAM Journal on Scientific and Statistical Computing
A high-order Godunov method for multiple condensed phases
Journal of Computational Physics
Numerical preservation of symmetry properties of continuum problems
Journal of Computational Physics
Journal of Computational Physics
The construction of compatible hydrodynamics algorithms utilizing conservation of total energy
Journal of Computational Physics
A second-order Godunov method for wave problems in coupled solid-water-gas systems
Journal of Computational Physics
Journal of Computational Physics
A high-order Eulerian Godunov method for elastic-plastic flow in solids
Journal of Computational Physics
Timestep relaxation with symmetry preservation on high aspect-ratio angular or tapered grids
Journal of Computational Physics
Journal of Computational Physics
Journal of Computational Physics
Solid-fluid diffuse interface model in cases of extreme deformations
Journal of Computational Physics
ReALE: A reconnection-based arbitrary-Lagrangian-Eulerian method
Journal of Computational Physics
Discretization of hyperelasticity on unstructured mesh with a cell-centered Lagrangian scheme
Journal of Computational Physics
Journal of Computational Physics
Eulerian adaptive finite-difference method for high-velocity impact and penetration problems
Journal of Computational Physics
Journal of Computational Physics
High order curvilinear finite elements for elastic-plastic Lagrangian dynamics
Journal of Computational Physics
Journal of Computational Physics
Hi-index | 31.50 |
A Lagrangian finite-volume Godunov scheme is extended to simulate two-dimensional solids in planar geometry. The scheme employs an elastic-perfectly plastic material model, implemented using the method of radial return, and either the 'stiffened' gas or Osborne equation of state to describe the material. The problem of mesh entanglement, common to conventional two-dimensional Lagrangian schemes, is avoided by utilising the free-Lagrange Method. The Lagrangian formulation enables features convecting at the local velocity, such as material interfaces, to be resolved with minimal numerical dissipation. The governing equations are split into separate subproblems and solved sequentially in time using a time-operator split procedure. Local Riemann problems are solved using a two-shock approximate Riemann solver, and piecewise-linear data reconstruction is employed using a MUSCL-based approach to improve spatial accuracy. To illustrate the effectiveness of the technique, numerical simulations are presented and compared with results from commercial fixed-connectivity Lagrangian and smooth particle hydrodynamics solvers (AUTODYN-2D). The simulations comprise the low-velocity impact of an aluminium projectile on a semi-infinite target, the collapse of a thick-walled beryllium cylinder, and the high-velocity impact of cylindrical aluminium and steel projectiles on a thin aluminium target. The analytical solution for the collapse of a thick-walled cylinder is also presented for comparison.