辐射输运方程的约束控制：基于冻结扩散模型的新方法

IF 3.4 2区物理与天体物理 Q1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS

Computer Physics Communications Pub Date : 2025-07-25 DOI:10.1016/j.cpc.2025.109777

Hualing Zhong , Hui Xie , Shuai Wang , Heng Yong

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引用次数: 0

摘要

冻结扩散模型（FDM）是在扩散模型框架上发展起来的一种新的方法，可用于求解辐射输运方程的约束控制问题。FDM采用“冻结已知条件”的策略。在噪声扩散过程中，该策略避免了噪声对已知信息的干扰，提高了学习效率和控制精度。通过空间单点通量控制、空间区域通量控制和多尺度输运的数值实验，充分证明了该方法在不同情况下的有效性和优越性。值得注意的是，FDM大大减少了对训练数据的需求，为解决复杂的辐射输运控制问题提供了一种实用的解决方案。

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Constrained control of the radiative transport equation: A novel approach based on the frozen diffusion model

We propose the frozen diffusion model (FDM), which is a new method developed on the framework of diffusion model and can be used to solve the constrained control problem of the radiation transport equation. FDM adopts the strategy of “freezing the known conditions”. During the noise diffusion process, this strategy avoids the interference of noise on known information, thus improving the learning efficiency and control precision. Through several numerical experiments, including spatial single-point flux control, spatial region flux control and ones of multiscale transport, the effectiveness and superiority of our method in different situations are fully demonstrated. It is worth noting that FDM greatly reduces the demand for training data, and provides a practical solution for solving complex radiative transport control problems.

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来源期刊

Computer Physics Communications 物理-计算机：跨学科应用

CiteScore

12.10

自引率

3.20%

发文量

287

审稿时长

5.3 months

期刊介绍： The focus of CPC is on contemporary computational methods and techniques and their implementation, the effectiveness of which will normally be evidenced by the author(s) within the context of a substantive problem in physics. Within this setting CPC publishes two types of paper. Computer Programs in Physics (CPiP) These papers describe significant computer programs to be archived in the CPC Program Library which is held in the Mendeley Data repository. The submitted software must be covered by an approved open source licence. Papers and associated computer programs that address a problem of contemporary interest in physics that cannot be solved by current software are particularly encouraged. Computational Physics Papers (CP) These are research papers in, but are not limited to, the following themes across computational physics and related disciplines. mathematical and numerical methods and algorithms; computational models including those associated with the design, control and analysis of experiments; and algebraic computation. Each will normally include software implementation and performance details. The software implementation should, ideally, be available via GitHub, Zenodo or an institutional repository.In addition, research papers on the impact of advanced computer architecture and special purpose computers on computing in the physical sciences and software topics related to, and of importance in, the physical sciences may be considered.