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 numerical method for suspension flow
Journal of Computational Physics
A new two-dimensional flux-limited shock viscosity for impact calculations
Computer Methods in Applied Mechanics and Engineering
Computational methods in Lagrangian and Eulerian hydrocodes
Computer Methods in Applied Mechanics and Engineering
SIAM Journal on Scientific Computing
Numerical preservation of symmetry properties of continuum problems
Journal of Computational Physics
Journal of Computational Physics
Formulations of artificial viscosity for multi-dimensional shock wave computations
Journal of Computational Physics
The construction of compatible hydrodynamics algorithms utilizing conservation of total energy
Journal of Computational Physics
Journal of Computational Physics
The fast construction of extension velocities in level set methods
Journal of Computational Physics
SIAM Review
A non-oscillatory Eulerian approach to interfaces in multimaterial flows (the ghost fluid method)
Journal of Computational Physics
Journal of Computational Physics
A virtual test facility for simulating the dynamic response of materials
Computing in Science and Engineering
A numerical method for two-phase flow consisting of separate compressible and incompressible regions
Journal of Computational Physics
A Boundary Condition Capturing Method for Multiphase Incompressible Flow
Journal of Scientific Computing
MICCAI '02 Proceedings of the 5th International Conference on Medical Image Computing and Computer-Assisted Intervention-Part II
Journal of Computational Physics
A level set approach to Eulerian-Lagrangian coupling
Journal of Computational Physics
Journal of Computational Physics
Journal of Scientific Computing
Ghost fluid method for strong shock impacting on material interface
Journal of Computational Physics
A ghost-cell immersed boundary method for flow in complex geometry
Journal of Computational Physics
Rigid fluid: animating the interplay between rigid bodies and fluid
ACM SIGGRAPH 2004 Papers
An interface interaction method for compressible multifluids
Journal of Computational Physics
Discontinuous Galerkin Methods Applied to Shock and Blast Problems
Journal of Scientific Computing
The ghost fluid method for compressible gas-water simulation
Journal of Computational Physics
Coupling water and smoke to thin deformable and rigid shells
ACM SIGGRAPH 2005 Papers
Discontinuous Galerkin methods applied to shock and blast problems
Journal of Scientific Computing
Adaptive characteristics-based matching for compressible multifluid dynamics
Journal of Computational Physics
A second-order boundary-fitted projection method for free-surface flow computations
Journal of Computational Physics
Maintaining the point correspondence in the level set framework
Journal of Computational Physics
Journal of Computational Physics
The accuracy of the modified ghost fluid method for gas--gas Riemann problem
Applied Numerical Mathematics
The simulation of cavitating flows induced by underwater shock and free surface interaction
Applied Numerical Mathematics
ACM SIGGRAPH 2007 papers
A second order accurate level set method on non-graded adaptive cartesian grids
Journal of Computational Physics
A sharp interface immersed boundary method for compressible viscous flows
Journal of Computational Physics
An adaptive ghost fluid finite volume method for compressible gas-water simulations
Journal of Computational Physics
Journal of Scientific Computing
A front-tracking/ghost-fluid method for fluid interfaces in compressible flows
Journal of Computational Physics
Solid-fluid diffuse interface model in cases of extreme deformations
Journal of Computational Physics
A Lagrangian-Eulerian shell-fluid coupling algorithm based on level sets
Computers and Structures
An Eulerian method for multi-component problems in non-linear elasticity with sliding interfaces
Journal of Computational Physics
Journal of Computational Physics
Numerically stable fluid-structure interactions between compressible flow and solid structures
Journal of Computational Physics
Accuracies and conservation errors of various ghost fluid methods for multi-medium Riemann problem
Journal of Computational Physics
ACM Transactions on Graphics (TOG) - SIGGRAPH 2012 Conference Proceedings
A simple second order cartesian scheme for compressible Euler flows
Journal of Computational Physics
Realtime Two-Way Coupling of Meshless Fluids and Nonlinear FEM
Computer Graphics Forum
An Eulerian-Lagrangian moving immersed interface method for simulating burning solids
Journal of Computational Physics
A diffuse interface model with immiscibility preservation
Journal of Computational Physics
Journal of Computational Physics
The ghost solid method for the elastic solid-solid interface
Journal of Computational Physics
Hi-index | 31.57 |
We propose a numerical method for modeling multimaterial flows where the domain is decomposed into separate Eulerian and Lagrangian subdomains. That is, the equations are written in Eulerian form in one subdomain and in Lagrangian form in the other subdomain. This is of interest, for example, when considering the effect of underwater explosions on the hull of a ship or the impact of a low speed projectile on a soft explosive target. On the one hand, high-speed fluid flows are traditionally modeled by applying shock-capturing schemes to the compressible Euler equations to avoid problems associated with tangling of a Lagrangian mesh. On the other hand, solid dynamics calculations are traditionally carried out using Lagrangian numerical methods to avoid problems associated with numerical smearing in Eulerian calculations. We use the ghost fluid method to create accurate discretizations across the Eulerian/Lagrangian interface. The numerical method is presented in both one and two spatial dimensions; three-dimensional extensions (to the interface coupling method) are straightforward.