An arbitrary Lagrangian-Eulerian finite element method for path-dependent materials
Computer Methods in Applied Mechanics and Engineering
The bifurcation of tracked scalar waves
SIAM Journal on Scientific and Statistical Computing - Telecommunication Programs at U.S. Universities
An approximate linearised Riemann solver for the Euler equations for real gases
Journal of Computational Physics
Efficient implementation of essentially non-oscillatory shock-capturing schemes
Journal of Computational Physics
Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations
Journal of Computational Physics
Efficient implementation of essentially non-oscillatory shock-capturing schemes,II
Journal of Computational Physics
A second-order algorithm for the dynamic response of soils
IMPACT of Computing in Science and Engineering
The Riemann problem for longitudinal motion in an elastic-plastic bar
SIAM Journal on Scientific and Statistical Computing
Computational methods in Lagrangian and Eulerian hydrocodes
Computer Methods in Applied Mechanics and Engineering
Errors when shock waves interact due to numerical shock width
SIAM Journal on Scientific Computing
SIAM Journal on Numerical Analysis
Adaptive mesh refinement for wave propagation in nonlinear solids
SIAM Journal on Scientific Computing
Efficient implementation of weighted ENO schemes
Journal of Computational Physics
Capturing shock reflections: an improved flux formula
Journal of Computational Physics
A high-order Godunov method for multiple condensed phases
Journal of Computational Physics
Uniformly high order accurate essentially non-oscillatory schemes, III
Journal of Computational Physics
A hybrid method for moving interface problems with application to the Hele-Shaw flow
Journal of Computational Physics
A simple level set method for solving Stefan problems
Journal of Computational Physics
Modeling low Reynolds number incompressible flows using SPH
Journal of Computational Physics
Journal of Computational Physics
An isobaric fix for the overheating problem in multimaterial compressible flows
Journal of Computational Physics
A non-oscillatory Eulerian approach to interfaces in multimaterial flows (the ghost fluid method)
Journal of Computational Physics
Computation of solid-liquid phase fronts in the sharp interface limit on fixed grids
Journal of Computational Physics
Modeling melt convection in phase-field simulations of solidification
Journal of Computational Physics
An accurate Cartesian grid method for viscous incompressible flows with complex immersed boundaries
Journal of Computational Physics
A boundary condition capturing method for Poisson's equation on irregular domains
Journal of Computational Physics
Discontinuous enrichment in finite elements with a partition of unity method
Finite Elements in Analysis and Design - Special issue on Robert J. Melosh medal competition
A high-order Eulerian Godunov method for elastic-plastic flow in solids
Journal of Computational Physics
A Boundary Condition Capturing Method for Multiphase Incompressible Flow
Journal of Scientific Computing
A sharp interface Cartesian Ggid method for simulating flows with complex moving boundaries: 345
Journal of Computational Physics
Coupling an Eulerian fluid calculation to a Lagrangian solid calculation with the ghost fluid method
Journal of Computational Physics
Journal of Computational Physics
A surfactant-conserving volume-of-fluid method for interfacial flows with insoluble surfactant
Journal of Computational Physics
A second order primitive preconditioner for solving all speed multi-phase flows
Journal of Computational Physics
Journal of Computational Physics
Sharp interface tracking using the phase-field equation
Journal of Computational Physics
A high-resolution Godunov method for compressible multi-material flow on overlapping grids
Journal of Computational Physics
A fixed-mesh method for incompressible flow-structure systems with finite solid deformations
Journal of Computational Physics
Journal of Scientific Computing
Journal of Computational Physics
Journal of Computational Physics
A full Eulerian finite difference approach for solving fluid-structure coupling problems
Journal of Computational Physics
Simulations of a stretching bar using a plasticity model from the shear transformation zone theory
Journal of Computational Physics
Journal of Computational Physics
Journal of Computational Physics
High order curvilinear finite elements for elastic-plastic Lagrangian dynamics
Journal of Computational Physics
Hi-index | 31.52 |
A technique is presented for the numerical simulation of high-speed multimaterial impact. Of particular interest is the interaction of solid impactors with targets. The computations are performed on a fixed Cartesian mesh by casting the equations governing material deformation in Eulerian conservation law form. The advantage of the Eulerian setting is the disconnection of the mesh from the boundary deformation allowing for large distortions of the interfaces. Eigenvalue analysis reveals that the system of equations is hyperbolic for the range of materials and impact velocities of interest. High-order accurate ENO shock-capturing schemes are used along with interface tracking techniques to evolve sharp immersed boundaries. The numerical technique is designed to tackle the following physical phenomena encountered during impact: (1) high velocities of impact leading to large deformations of the impactor as well as targets; (2) nonlinear wave-propagation and the development of shocks in the materials; (3) modeling of the constitutive properties of materials under intense impact conditions and accurate numerical calculation of the elasto-plastic behavior described by the models; (4) phenomena at multiple interfaces (such as impactor-target, target-ambient and impactor-ambient), i.e. both free surface and surface-surface dynamics. Comparison with Lagrangian calculations is made for the elasto-plastic deformation of solid material. The accuracy of convex ENO scheme for shock capturing, with the Mie-Gruneisen equation of state for pressure, is closely examined. Good agreement of the present finite difference fixed grid results is obtained with exact solutions in 1D and benchmarked moving finite element solutions for axisymmetric Taylor impact.