• Corpus ID: 119740149

A Unified Gas-kinetic Particle Method for Multiscale Photon Transport

@article{Li2018AUG,
  title={A Unified Gas-kinetic Particle Method for Multiscale Photon Transport},
  author={Weiming Li and Chang Liu and Yajun Zhu and Jiwei Zhang and Kun Xu},
  journal={arXiv: Computational Physics},
  year={2018}
}
In this work, we present a unified gas-kinetic particle (UGKP) method for the simulation of multiscale photon transport. The multiscale nature of the particle method mainly comes from the recovery of the time evolution flux function in the unified gas-kinetic scheme (UGKS) through a coupled dynamic process of particle transport and collision. This practice improves the original operator splitting approach in the Monte Carlo method, such as the separated treatment of particle transport and… 

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References

SHOWING 1-10 OF 35 REFERENCES
A unified gas-kinetic scheme for continuum and rarefied flows
An asymptotic preserving unified gas kinetic scheme for gray radiative transfer equations
An Implicit Unified Gas Kinetic Scheme for Radiative Transfer with Equilibrium and Non-Equilibrium Diffusive Limits
This paper is about the construction of a unified gas-kinetic scheme (UGKS) for a coupled system of radiative transport and material heat conduction with different diffusive limits. Different from
Uniformly Accurate Diffusive Relaxation Schemes for Multiscale Transport Equations
TLDR
This paper shows that the splitting technique for relaxation schemes can be applied to a large class of transport equations with continuous velocities, when one uses the even and odd parities of the transport equation.
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