35 citations · 225 across the 21 of their papers we have counts for
21 papers
The non-equilibrium Marshak wave problem in non-homogeneous media
Nitay Derei, Shmuel Balberg, Shay I. Heizler +3
We derive a family of similarity solutions to the nonlinear non-equilibrium Marshak wave problem for an inhomogeneous planar medium which is coupled to a time dependent radiation d…
An accurate reaction-diffusion limit to the spherical-symmetric Boltzmann equation
Shay I. Heizler, Menahem Krief, Michael Assaf
We resolve a long standing question regarding the suitable effective diffusion coefficient of the spherically-symmetric transport equation, which is valid at long times. To that en…
Frequency-dependent Discrete Implicit Monte-Carlo Scheme for the Radiative Transfer Equation
Elad Steinberg, Shay I. Heizler
This work generalizes the discrete implicit Monte-Carlo (DIMC) method for modeling the radiative transfer equation from a gray treatment to an frequency-dependent one. The classic…
Supersonic-subsonic transition region in radiative heat flow via self-similar solutions
Elad Malka, Shay I. Heizler
We study the radiative hydrodynamics flow of radiation-driven heat waves in hot dense plasmas, using approximate self-similar solutions. Specifically, we have focused on the interm…
A New Discrete Implicit Monte Carlo Scheme for Simulating Radiative Transfer Problems
Elad Steinberg, Shay I. Heizler
We present a new algorithm for radiative transfer-based on a statistical Monte Carlo approach-that does not suffer from teleportation effects, on the one hand, and yields smooth re…
Multi-Frequency Implicit Semi-analog Monte-Carlo (ISMC) Radiative Transfer Solver in Two-Dimensions (without Teleportation)
Elad Steinberg, Shay I. Heizler
We study the multi-dimensional radiative transfer phenomena using the ISMC scheme, in both gray and multi-frequency problems. Implicit Monte-Carlo (IMC) schemes have been in use fo…
Radiation drive temperature measurements in aluminium via radiation-driven shock waves: Modeling using self-similar solutions
Shay I. Heizler, Tomer Shussman, Moshe Fraenkel
We study the phenomena of radiative-driven shock waves using a semi-analytic model based on self similar solutions of the radiative hydrodynamic problem. The relation between the h…
Multi-Group Discontinuous Asymptotic Approximation in Radiative Marshak Waves Experiments
Avner P. Cohen, Shay I. Heizler
We study the propagation of radiative heat (Marshak) waves, using modified -approximation equations. In relatively optically-thin media the heat propagation is supersonic,~i.e…
Asymptotic Approximation in Radiative Transfer Problems
Re'em Harel, Stanislav Burov, Shay I. Heizler
We study the validity of the time-dependent asymptotic approximation in radiative transfer of photons. The time-dependent asymptotic is an approximation which uses the…
The Time-Dependent Asymptotic Approximation for the Transport Equation
Re'em Harel, Stanislav Burov, Shay I. Heizler
In this study a spatio-temporal approach for the solution of the time-dependent Boltzmann (transport) equation is derived. Finding the exact solution using the Boltzmann equation f…
Key to understanding supersonic radiative Marshak waves using simple models and advanced simulations
Avner P. Cohen, Guy Malamud, Shay I. Heizler
This article studies the propagation of supersonic radiative Marshak waves. These waves are radiation dominated, and play an important role in inertial confinement fusion and in as…
Modeling of Supersonic Radiative Marshak waves using Simple Models and Advanced Simulations
Avner P. Cohen, Shay I. Heizler
We study the problem of radiative heat (Marshak) waves using advanced approximate approaches. Supersonic radiative Marshak waves that are propagating into a material are radiation…
The Discontinuous Asymptotic Telegrapher's Equation () Approximation
Avner P. Cohen, Roy Perry, Shay I. Heizler
Modeling the propagation of radiative heat-waves in optically thick material using a diffusive approximation is a well-known problem. In optically thin material, classic methods, s…
Hindrances to precise recovery of cellular forces in fibrous biopolymer networks
Yunsong Zhang, Jingchen Feng, Shay I. Heizler +1
How cells move through the three-dimensional extracellular matrix (ECM) is of increasing interest in attempts to understand important biological processes such as cancer metastasis…
Self-similar solution of the subsonic radiative heat equations using a binary equation of state
Shay I. Heizler, Tomer Shussman, Elad Malka
Radiative subsonic heat waves, and their radiation driven shock waves, are important hydro-radiative phenomena. The high pressure, causes hot matter in the rear part of the heat wa…
3D-2D transition in mode-I fracture microbranching in a perturbed hexagonal close-packed lattice
Shay I. Heizler, David A. Kessler
Mode-I fracture exhibits microbranching in the high velocity regime where the simple straight crack is unstable. For velocities below the instability, classic modeling using linear…
Full self-similar solutions of the subsonic radiative heat equations
Tomer Shussman, Shay I. Heizler
We study the phenomenon of diffusive radiative heat waves (Marshak waves) under general boundary conditions. In particular, we derive full analytic solutions for the subsonic case,…
Microbranching in mode-I fracture using large scale simulations of amorphous and perturbed lattice models
Shay I. Heizler, David A. Kessler
We study the high-velocity regime mode-I fracture instability when small microbranches start to appear near the main crack, using large scale simulations. Some of the features of t…
Micro-branching in mode-I fracture in a randomly perturbed lattice
Shay I. Heizler, David A. Kessler, Yonatan S. Elbaz
We study mode-I fracture in lattices with noisy bonds. In contrast to previous attempts, by using a small parameter that perturbs the force-law between the atoms in perfect lattice…
Propagating mode-I fracture in amorphous materials using the continuous random network (CRN) model
Shay I Heizler, David A. Kessler, Herbert Levine
We study propagating mode-I fracture in two dimensional amorphous materials using atomistic simulations. We used the continuous random network (CRN) model of an amorphous material,…
Mode I fracture in a nonlinear lattice with viscoelastic forces
Shay I. Heizler, David A. Kessler, Herbert Levine
We study Mode I fracture in a viscoelastic lattice model with a nonlinear force law, with a focus on the velocity and linear stability of the steady-state propagating solution. Thi…