Variance reduction method for particle transport equation in spherical geometry

JOURNAL OF COMPUTATIONAL PHYSICS

卷:364

Article

Blanc, X.¹  Bordin, C.²  Kluth, G.²  Samba, G.² 

[1] Univ Paris Diderot, Sorbonne Paris Cite, CNRS, Lab Jacques Louis Lions,UPMC,UMR 7598, F-75205 Paris, France

[2] CEA, DAM, DIF, F-91297 Arpajon, France

关键词: Transport equation;    Monte Carlo;    Radiative transfer;    Inertial confinement fusion;    Variance reduction;   

DOI  :  10.1016/j.jcp.2018.02.015

来源: Elsevier

【 摘 要 】

This article is devoted to the design of importance sampling method for the Monte Carlo simulation of a linear transport equation. This model is of great importance in the simulation of inertial confinement fusion experiments. Our method is restricted to a spherically symmetric idealized design: an outer sphere emitting radiation towards an inner sphere, which in practice should be thought of as the hohlraum and the fusion capsule, respectively. We compute the importance function as the solution of the corresponding stationary adjoint problem. Doing so, we have an important reduction of the variance (by a factor 50 to 100), with a moderate increase of computational cost (by a factor 2 to 8). (C) 2018 Elsevier Inc. All rights reserved.

【 授权许可】

Free