D. Meiron

Publications78
h-index32
Citations3,748
Highly Influential Citations146
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Generalized vortex methods for free-surface flow problems
The motion of free surfaces in incompressible, irrotational, inviscid layered flows is studied by evolution equations for the position of the free surfaces and appropriate dipole (vortex) and source… Expand
  • 371
  • 20
Computer Simulation of Dynamic Phenomena
TLDR
This text describes computer programs for simulating phenomena in hydrodynamics, gas dynamics, and elastic plastic flow in one, two, and three dimensions. Expand
  • 298
  • 20
Small-scale structure of the Taylor–Green vortex
The dynamics of both the inviscid and viscous Taylor–Green (TG) three-dimensional vortex flows are investigated. This flow is perhaps the simplest system in which one can study the generation of… Expand
  • 444
  • 17
  • PDF
Analytic structure of vortex sheet dynamics. Part 1. Kelvin–Helmholtz instability
  • 152
  • 8
Nonlinear evolution of the stress-driven morphological instability in a two-dimensional semi-infinite solid
Abstract We consider the nonlinear evolution of the stress-driven morphological instability on the surface of a two dimensional semi-infinite solid. We track the branch of steady state solutions… Expand
  • 112
  • 6
Boundary integral methods for axisymmetric and three-dimensional Rayleigh-Taylor instability problems
  • 79
  • 6
A virtual test facility for the efficient simulation of solid material response under strong shock and detonation wave loading
TLDR
A virtual test facility (VTF) for studying the three-dimensional dynamic response of solid materials subject to strong shock and detonation waves has been constructed as part of the research program of the Center for Simulating the Dynamic Response of Materials. Expand
  • 89
  • 5
  • PDF
Numerical simulation of elastic-plastic solid mechanics using an Eulerian stretch tensor approach and HLLD Riemann solver
TLDR
An Eulerian, multi-material numerical method is described for computing dynamic problems involving large deformations in elastic-plastic solids. Expand
  • 32
  • 5
Transition to turbulence in shock-driven mixing: a Mach number study
Large-eddy simulations of single-shock-driven mixing suggest that, for sufficiently high incident Mach numbers, a two-gas mixing layer ultimately evolves to a late-time, fully developed turbulent… Expand
  • 43
  • 5
  • PDF
Critical Indices from Perturbation Analysis of the Callan-Symanzik Equation
Recent results giving both the asymptotic behavior and the explicit values of the leading-order perturbation-expansion terms in fixed dimension for the coefficients of the Callan-Symanzik equation… Expand
  • 257
  • 4