{"title":"指向概率驱动的半解析蒙特卡罗方法(PDMC) .第2部分:更高精度的指数近似的修正","authors":"Pan Qingquan , He Liaoyuan , Liu Xiaojing","doi":"10.1016/j.cpc.2025.109824","DOIUrl":null,"url":null,"abstract":"<div><div>We perform exponential approximation correction for the traditional Pointing Probability Driven Semi-Analytic Monte Carlo Method (PDMC) to achieve higher accuracy, re-establish the formula for calculating the global response of pseudo-track, forming a corrected Pointing Probability Driven Semi-Analytic Monte Carlo Method (cPDMC). cPDMC draws on the point kernel integral method, has the same calculation process as the traditional PDMC, and inherits all the advantages of PDMC, having high geometric universality due to the independence of deterministic procedures and high efficiency due to the independence of iterative computation. cPDMC is tested in the China Fusion Engineering Test Reactor (CFETR) and the HBR2 benchmark. Compared with the traditional PDMC, cPDMC improves the Average Figure of Merit (AV.FOM) by 1.2 ∼ 410.5 times with the CFETR model and 113.10 ∼ 13,818.18 times with the HBR2 benchmark, proving the superiority of this exponential approximation correction method and showing that cPDMC can further improve the accuracy and efficiency of PDMC and is helpful for large-scale radiation analysis.</div></div>","PeriodicalId":285,"journal":{"name":"Computer Physics Communications","volume":"317 ","pages":"Article 109824"},"PeriodicalIF":3.4000,"publicationDate":"2025-08-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Pointing Probability Driven Semi-Analytic Monte Carlo Method (PDMC) – Part II: Correction of Exponential Approximation for Higher Accuracy\",\"authors\":\"Pan Qingquan , He Liaoyuan , Liu Xiaojing\",\"doi\":\"10.1016/j.cpc.2025.109824\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>We perform exponential approximation correction for the traditional Pointing Probability Driven Semi-Analytic Monte Carlo Method (PDMC) to achieve higher accuracy, re-establish the formula for calculating the global response of pseudo-track, forming a corrected Pointing Probability Driven Semi-Analytic Monte Carlo Method (cPDMC). cPDMC draws on the point kernel integral method, has the same calculation process as the traditional PDMC, and inherits all the advantages of PDMC, having high geometric universality due to the independence of deterministic procedures and high efficiency due to the independence of iterative computation. cPDMC is tested in the China Fusion Engineering Test Reactor (CFETR) and the HBR2 benchmark. Compared with the traditional PDMC, cPDMC improves the Average Figure of Merit (AV.FOM) by 1.2 ∼ 410.5 times with the CFETR model and 113.10 ∼ 13,818.18 times with the HBR2 benchmark, proving the superiority of this exponential approximation correction method and showing that cPDMC can further improve the accuracy and efficiency of PDMC and is helpful for large-scale radiation analysis.</div></div>\",\"PeriodicalId\":285,\"journal\":{\"name\":\"Computer Physics Communications\",\"volume\":\"317 \",\"pages\":\"Article 109824\"},\"PeriodicalIF\":3.4000,\"publicationDate\":\"2025-08-24\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Computer Physics Communications\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0010465525003261\",\"RegionNum\":2,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Computer Physics Communications","FirstCategoryId":"101","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0010465525003261","RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS","Score":null,"Total":0}
Pointing Probability Driven Semi-Analytic Monte Carlo Method (PDMC) – Part II: Correction of Exponential Approximation for Higher Accuracy
We perform exponential approximation correction for the traditional Pointing Probability Driven Semi-Analytic Monte Carlo Method (PDMC) to achieve higher accuracy, re-establish the formula for calculating the global response of pseudo-track, forming a corrected Pointing Probability Driven Semi-Analytic Monte Carlo Method (cPDMC). cPDMC draws on the point kernel integral method, has the same calculation process as the traditional PDMC, and inherits all the advantages of PDMC, having high geometric universality due to the independence of deterministic procedures and high efficiency due to the independence of iterative computation. cPDMC is tested in the China Fusion Engineering Test Reactor (CFETR) and the HBR2 benchmark. Compared with the traditional PDMC, cPDMC improves the Average Figure of Merit (AV.FOM) by 1.2 ∼ 410.5 times with the CFETR model and 113.10 ∼ 13,818.18 times with the HBR2 benchmark, proving the superiority of this exponential approximation correction method and showing that cPDMC can further improve the accuracy and efficiency of PDMC and is helpful for large-scale radiation analysis.
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.