A multi-dimensional, moment-accelerated deterministic particle method for time-dependent, multi-frequency thermal radiative transfer problems

JOURNAL OF COMPUTATIONAL PHYSICS

卷:386

Article

Hammer, Hans¹  Park, HyeongKae¹  Chacon, Luis² 

[1] Los Alamos Natl Lab, Fluid Dynam & Solid Mech T3, Los Alamos, NM 87545 USA

[2] Los Alamos Natl Lab, Appl Math & Plasma Phys T5, Los Alamos, NM 87545 USA

关键词: Thermal Radiative Transfer;    HOLO algorithm;    Deterministic particle method;   

DOI  :  10.1016/j.jcp.2019.02.035

来源: Elsevier

【 摘 要 】

Thermal Radiative Transfer (TRT) is the dominant energy transfer mechanism in high-energy density physics with applications in inertial confinement fusion and astrophysics. The stiff interactions between the material and radiation fields make TRT problems challenging to model. In this study, we propose a multi-dimensional extension of the deterministic particle (DP) method. The DP method combines aspects from both particle and deterministic methods. If the emission source is known a priori, and no physical scattering is present, the intensity of a particle can be integrated analytically. This introduces no statistical noise compared to Monte-Carlo methods, while maintaining the flexibility of particle methods. The method is closely related to the popular method of long characteristics. The combination of the DP-method with a discretely-consistent, nonlinear, gray low-order system enables an efficient solution algorithm for multi-frequency TRT problems. We demonstrate with numerical examples that the use of a linear-source approximation based on spatial moments improves the behavior of our method in the thick diffusion limit significantly. (C) 2019 Elsevier Inc. All rights reserved.

【 授权许可】

Free