An approximate linearised Riemann solver for the Euler equations for real gases
Journal of Computational Physics
Composite overlapping meshes for the solution of partial differential equations
Journal of Computational Physics
Viscous shock profiles and primitive formulations
SIAM Journal on Numerical Analysis
A scheme for conservative interpolation on overlapping grids
SIAM Journal on Scientific Computing
Multicomponent flow calculations by a consistent primitive algorithm
Journal of Computational Physics
Journal of Computational Physics
Correction of conservative Euler solvers for gas mixtures
Journal of Computational Physics
A non-oscillatory Eulerian approach to interfaces in multimaterial flows (the ghost fluid method)
Journal of Computational Physics
The ghost fluid method for deflagration and detonation discontinuities
Journal of Computational Physics
A Simple Method for Compressible Multifluid Flows
SIAM Journal on Scientific Computing
Computations of compressible multifluids
Journal of Computational Physics
Journal of Computational Physics
An adaptive numerical scheme for high-speed reactive flow on overlapping grids
Journal of Computational Physics
Journal of Computational Physics
Moving overlapping grids with adaptive mesh refinement for high-speed reactive and non-reactive flow
Journal of Computational Physics
Journal of Computational Physics
On sub-linear convergence for linearly degenerate waves in capturing schemes
Journal of Computational Physics
Journal of Computational Physics
A composite grid solver for conjugate heat transfer in fluid-structure systems
Journal of Computational Physics
An evaluation of the FCT method for high-speed flows on structured overlapping grids
Journal of Computational Physics
An interface capturing method for the simulation of multi-phase compressible flows
Journal of Computational Physics
A high-resolution mapped grid algorithm for compressible multiphase flow problems
Journal of Computational Physics
Eulerian solid simulation with contact
ACM SIGGRAPH 2011 papers
Anti-diffusion interface sharpening technique for two-phase compressible flow simulations
Journal of Computational Physics
Numerical methods for solid mechanics on overlapping grids: Linear elasticity
Journal of Computational Physics
A hybrid level set-volume constraint method for incompressible two-phase flow
Journal of Computational Physics
Eulerian-on-lagrangian simulation
ACM Transactions on Graphics (TOG)
A diffuse interface model with immiscibility preservation
Journal of Computational Physics
Hi-index | 31.50 |
A numerical method is described for inviscid, compressible, multi-material flow in two space dimensions. The flow is governed by the multi-material Euler equations with a general mixture equation of state. Composite overlapping grids are used to handle complex flow geometry and block-structured adaptive mesh refinement (AMR) is used to locally increase grid resolution near shocks and material interfaces. The discretization of the governing equations is based on a high-resolution Godunov method, but includes an energy correction designed to suppress numerical errors that develop near a material interface for standard, conservative shock-capturing schemes. The energy correction is constructed based on a uniform-pressure-velocity flow and is significant only near the captured interface. A variety of two-material flows are presented to verify the accuracy of the numerical approach and to illustrate its use. These flows assume an equation of state for the mixture based on the Jones-Wilkins-Lee (JWL) forms for the components. This equation of state includes a mixture of ideal gases as a special case. Flow problems considered include unsteady one-dimensional shock-interface collision, steady interaction of a planar interface and an oblique shock, planar shock interaction with a collection of gas-filled cylindrical inhomogeneities, and the impulsive motion of the two-component mixture in a rigid cylindrical vessel.