Marching cubes: A high resolution 3D surface construction algorithm
SIGGRAPH '87 Proceedings of the 14th annual conference on Computer graphics and interactive techniques
An adaptive Cartesian grid method for unsteady compressible flow in irregular regions
Journal of Computational Physics
Efficient implementation of weighted ENO schemes
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
A PDE-based fast local level set method
Journal of Computational Physics
Journal of Computational Physics
Computer Vision and Image Understanding
A high-order Eulerian Godunov method for elastic-plastic flow in solids
Journal of Computational Physics
A conservative three-dimensional Eulerian method for coupled solid-fluid shock capturing
Journal of Computational Physics
A hybrid particle level set method for improved interface capturing
Journal of Computational Physics
Ghost fluid method for strong shock impacting on material interface
Journal of Computational Physics
Journal of Computational Physics
A Cartesian grid embedded boundary method for hyperbolic conservation laws
Journal of Computational Physics
A conservative interface method for compressible flows
Journal of Computational Physics
High-fidelity interface tracking in compressible flows: Unlimited anchored adaptive level set
Journal of Computational Physics
Multi-material interface reconstruction on generalized polyhedral meshes
Journal of Computational Physics
Numerical prediction of interfacial instabilities: Sharp interface method (SIM)
Journal of Computational Physics
Solid-fluid diffuse interface model in cases of extreme deformations
Journal of Computational Physics
Exact and approximate solutions of Riemann problems in non-linear elasticity
Journal of Computational Physics
The constrained reinitialization equation for level set methods
Journal of Computational Physics
An Eulerian method for multi-component problems in non-linear elasticity with sliding interfaces
Journal of Computational Physics
Deforming composite grids for solving fluid structure problems
Journal of Computational Physics
Eulerian adaptive finite-difference method for high-velocity impact and penetration problems
Journal of Computational Physics
An Eulerian algorithm for coupled simulations of elastoplastic-solids and condensed-phase explosives
Journal of Computational Physics
Hi-index | 31.46 |
A three-dimensional Eulerian method is presented for simulating dynamic systems comprising multiple compressible solid and fluid components where internal boundaries are tracked using level-set functions. Aside from the interface interaction calculation within mixed cells, each material is treated independently and the governing constitutive laws solved using a conservative finite volume discretisation based upon the solution of Riemann problems to determine the numerical fluxes. The required reconstruction of mixed cell volume fractions and cut cell geometries is presented in detail using the level-set fields. High-order accuracy is achieved by incorporating the weighted-essentially non-oscillatory (WENO) method and Runge-Kutta time integration. A model for elastoplastic solid dynamics is employed formulated using the tensor of elastic deformation gradients permitting the equations to be written in divergence form. The scheme is demonstrated using selected one-dimensional initial value problems for which exact solutions are derived, a two-dimensional void collapse, and a three-dimensional simulation of a confined explosion.