平板几何中前峰输运问题的修正Fokker-Planck加速度

IF 0.7 4区工程技术 Q3 MATHEMATICS, APPLIED

Journal of Computational and Theoretical Transport Pub Date : 2020-05-13 DOI:10.1080/23324309.2021.1894174

J. Kuczek, J. Patel, R. Vasques

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引用次数: 0

摘要

摘要本文介绍了一种新的加速技术，用于求解具有高度前峰散射的输运问题的收敛性。该技术类似于传统的高阶/低阶(HOLO)加速方案。Fokker-Planck方程是输运方程在高度前峰环境下的渐近极限，它被修改并用于加速度;这个修正方程保留了(高阶)输运方程的角通量和矩。我们给出了使用筛选卢瑟福散射核、指数散射核和Henyey-Greenstein散射核的数值结果，并将它们与已建立的加速方法(如扩散合成加速(DSA))进行了比较。与DSA相比，我们观察到时钟时间加快了三到四个数量级。

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Modified Fokker-Planck Acceleration for Forward-Peaked Transport Problems in Slab Geometry

Abstract This paper introduces a new acceleration technique for the convergence of the solution of transport problems with highly forward-peaked scattering. The technique is similar to a conventional high-order/low-order (HOLO) acceleration scheme. The Fokker-Planck equation, which is an asymptotic limit of the transport equation in highly forward-peaked settings, is modified and used for acceleration; this modified equation preserves the angular flux and moments of the (high-order) transport equation. We present numerical results using the Screened Rutherford, Exponential, and Henyey–Greenstein scattering kernels and compare them to established acceleration methods such as diffusion synthetic acceleration (DSA). We observe three to four orders of magnitude speed-up in wall-clock time compared to DSA.

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来源期刊

Journal of Computational and Theoretical Transport Mathematics-Mathematical Physics

CiteScore

1.30

自引率

0.00%

发文量

期刊介绍： Emphasizing computational methods and theoretical studies, this unique journal invites articles on neutral-particle transport, kinetic theory, radiative transfer, charged-particle transport, and macroscopic transport phenomena. In addition, the journal encourages articles on uncertainty quantification related to these fields. Offering a range of information and research methodologies unavailable elsewhere, Journal of Computational and Theoretical Transport brings together closely related mathematical concepts and techniques to encourage a productive, interdisciplinary exchange of ideas.