Angular moment model for the Fokker-Planck equation
Angular moment model for the Fokker-Planck equation
复制标题
Fokker-Planck 方程的角矩模型
DOI：
10.1140/epjd/e2010-00190-8
复制
发表时间：
2010
期刊：
影响因子：
--
通讯作者：
M. Frank
中科院分区：
文献类型：
--
作者：
B. Dubroca;J. Feugeas;M. Frank
摘要
一个准确和快速的动力学模型描述
粒子的碰撞输运。它来源于
Fokker-Planck方程，并涉及角闭合，
相空间导致一组双曲方程的时刻
分布函数在时间、空间和
能源这种方法提供了一种替代高昂的成本
完全动力学方程的直接解。而且是
精确的情况下，准直光束和准各向同性
分布。它可以用通常的数值近似，
非线性双曲分析的格式。该模型具有
模拟电子或离子传输所需的功能
惯性约束聚变和剂量沉积
癌症的放射治疗。
Abstract
An accurate and rapid kinetic model describing the
collisional transport of particles is presented. It is derived from
the Fokker-Planck equation and involves an angular closure in the
phase space leading to a set of hyperbolic equations for the moments
of the distribution function evolving in time, space and
energy. This method provides an alternative to the prohibitive cost
of a direct solution to the full kinetic equation. Moreover, it is
exact for the cases of collimated beams and the quasi-isotropic
distributions. It can be approximated with the usual numerical
schemes of the non-linear hyperbolic analysis. This model has
features that are required to simulate the electron or ion transport
for the inertial confinement fusion and the dose deposition for
radiation therapy of cancers.