6 papers
Convergence Analysis of the Random Ordinate Method for Mitigating the Ray Effect
Lei Li, Min Tang, Yuqi Yang
The Discrete Ordinates Method (DOM) is widely used for velocity discretization in radiative transport simulations. However, DOM tends to exhibit the ray effect when the velocity di…
Random ordinate method for mitigating the ray effect in radiative transport equation simulations
Lei Li, Min Tang, Yuqi Yang
The Discrete Ordinates Method (DOM) is the most widely used velocity discretization method for simulating the radiative transport equation. However, the ray effect is a long-standi…
An improved nonlocal electron heat transport model for magnetized plasmas
Z. H. Chen, Z. Q. Zhao, X. H. Yang +11
Distortions in the electron distribution function driven by intense temperature gradients critically influence the generation and evolution of heat flux and magnetic fields in plas…
Deriving sub-diffusion equations
Benoît Perthame, Min Tang
Sub-diffusion equations are used in a large range of applications including fluids, plasma physics and biology. Their mathematical analysis is advanced even if a much larger litera…
A deterministic solver for the linear Boltzmann model of a single mono-directional proton beam
Xiaojiang Zhang, Xuemin Bai, Min Tang
The linear Boltzmann model for proton beams is a six-dimensional partial differential equation (PDE). We propose a deterministic solver for the linear Boltzmann model based on scat…
Random Source Iteration Method: Mitigating the Ray Effect in the Discrete Ordinates Method
Jingyi Fu, Lei Li, Min Tang
The commonly used velocity discretization for simulating the radiative transport equation (RTE) is the discrete ordinates method (DOM). One of the long-standing drawbacks of DOM is…