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A new coupling algorithm for fractional diffusion equations based on multiscale functions

ALEXANDRIA ENGINEERING JOURNAL 2025年 121卷 379-386页

作者： Zhu, Hui Yang, Lei Zhang, Ruimin Zhang, Yingchao Lin, Yingzhen Macau Univ Sci & Technol Fac Innovat Engn Sch Comp Sci & Engn Macau 999078 Peoples R China Beijing Inst Technol Zhuhai Campus Zhuhai 519088 Peoples R China

We discuss anew discrete-continuous coupling algorithm for fractional diffusion equations based on piecewise interpolation polynomials and multiscale functions. This method considers to discretize the time fractional derivative using the L1-2 scheme while maintaining the continuity of the spatial variable. Then, the multiscale orthogonal polynomial algorithm is used to solve the spatial dimension equations, ultimately yielding the approximate solutions for the factional diffusion equations. Additionally, we provide the theoretical foundations of the algorithm and prove its convergence and stability. Through the test results of four examples, we validate the effectiveness and accuracy of the proposed approach.

关键词： Fractional diffusion equations coupling algorithm Multiscale functions Convergence analysis Stability analysis

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coupling algorithm of cavity expansion theory and finite element for penetrating reinforced concrete

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ENGINEERING FRACTURE MECHANICS 2024年 311卷

作者： Huang, Chenglong Wang, Zhenqing Li, Shutao Chen, Yeqing Dai, Mengnan Wu, Wei Wei, Wanli Gao, Jiazheng Yang, Qingyuan Harbin Engn Univ Coll Aerosp & Civil Engn Harbin 150001 Peoples R China State Key Lab Target Vulnerabil Assessment Beijing 100036 Peoples R China PLA Inst Def Engn AMS Beijing 100036 Peoples R China

Aiming at the dynamic problem of projectile penetrating reinforced concrete, this paper creatively proposes a coupling algorithm combining cavity expansion theory and the finite element method. This approach effectively resolves the problem of low efficiency in finite element simulations while ensuring computational accuracy. In this study, based on the cavity expansion theory, we have redeveloped the display dynamics software. Radial stress in the concrete is applied to the warhead surface in the normal direction, and the interaction between the projectile and the steel bar is simulated using the finite element contact algorithm. A coupling algorithm has been developed that can stably and quickly simulate the penetration of reinforced concrete by a projectile. The study indicates that the implementation of the coupling algorithm primarily includes four steps: model establishment and meshing, stress load program design, load application, and initial condition setting. Through verification and analysis, the coupling algorithm presented in this paper is demonstrated to effectively compute the dynamic response of a projectile during penetration. It exhibits superior computational stability and speed compared to the finite element method, and shows minimal sensitivity to grid size. When applied to numerical models with small meshes, it achieves both high precision and rapid computation. The coupling algorithm program design proposed in this paper can be implemented in any display dynamics software, offering a robust approach for engineers and researchers to predict projectile penetration effects. Furthermore, it provides a rapid assessment method for the anti-penetration performance of reinforced concrete structures.

关键词： coupling algorithm Cavity expansion theory Numerical simulation Reinforced concrete Dynamic response

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Research on Low-energy Adaptive Clustering Hierarchy Protocol based on Multi-objective coupling algorithm

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KSII TRANSACTIONS ON INTERNET AND INFORMATION SYSTEMS 2020年第4期14卷 1437-1459页

作者： Li, Wuzhao Wang, Yechuang Sun, Youqiang Mao, Jie Jiaxing Vocat & Tech Coll Dept Informat Technol Jiaxing 314036 Zhejiang Peoples R China Taiyuan Univ Sci & Technol Complex Syst & Computat Intelligence Lab Taiyuan 030024 Shanxi Peoples R China

Wireless Sensor Networks (WSN) is a distributed Sensor network whose terminals are sensors that can sense and check the environment. Sensors are typically battery-powered and deployed in where the batteries are difficult to replace. Therefore, maximize the consumption of node energy and extend the network's life cycle are the problems that must to face. Low-energy adaptive clustering hierarchy (LEACH) protocol is an adaptive clustering topology algorithm, which can make the nodes in the network consume energy in a relatively balanced way and prolong the network lifetime. In this paper, the novel multi-objective LEACH protocol is proposed, in order to solve the proposed protocol, we design a multi-objective coupling algorithm based on bat algorithm (BA), glowworm swarm optimization algorithm (GSO) and bacterial foraging optimization algorithm (BFO). The advantages of BA, GSO and BFO are inherited in the multi-objective coupling algorithm (MBGF), which is tested on ZDT and SCH benchmarks, the results are shown the MBGF is superior. Then the multi-objective coupling algorithm is applied in the multi-objective LEACH protocol, experimental results show that the multi-objective LEACH protocol can greatly reduce the energy consumption of the node and prolong the network life cycle.

关键词： LEACH protocol multi-objective coupling algorithm wireless sensor network

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Moving-boundary and finite volume coupling algorithm for heat exchanger with fluid phase change

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INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER 2019年 131卷 313-328页

作者： Chu, Zhenhao Zhang, Wenping Harbin Engn Univ Sch Energy & Power Engn Harbin 150001 Heilongjiang Peoples R China

In this paper, a coupling algorithm which combines the advantages of MBM (Moving Boundary Method) and FVM (Finite Volume Method) is presented. In this algorithm, the heat exchanger is divided into MB cells on the basis of the heat transfer rate and inlet parameters of HSF and CSF, and then FVM is used to solve each MB cell to obtain the heat transfer area required for MB cells. When the heat transfer area required for each MB cell is obtained, the residual function based on the ratio of the required to the available heat transfer area of the heat exchanger is derived, and then Brent's method is used to adjust the heat transfer rate for the derived residual function to be zero. The MB-FV coupling algorithm is suitable for solving the heat exchanger with or without supercritical fluids, which not only extends the application range of the original MBM, but also increases the accuracy of the heat exchanger computational results. (C) 2018 Published by Elsevier Ltd.

关键词： ORC Heat exchanger MBM FVM coupling algorithm

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A physically constrained Monte Carlo-Neural Network coupling algorithm for BNCT dose calculation

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MEDICAL PHYSICS 2024年第6期51卷 4524-4535页

作者： Wang, Yongquan Du, Junliang Lin, Huan Guan, Xingcai Zhang, Lu Li, Jinyang Gu, Long Lanzhou Univ Sch Nucl Sci & Technol Lanzhou Peoples R China Lanzhou Univ Southeast Res Inst Putian Peoples R China Lanzhou Univ Sch Nucl Sci & Technol Lanzhou 730000 Peoples R China

BackgroundIn boron neutron capture therapy (BNCT)-a form of binary radiotherapy-the primary challenge in treatment planning systems for dose calculations arises from the time-consuming nature of the Monte Carlo (MC) method. Recent progress, including the use of neural networks (NN), has been made to accelerate BNCT dose calculations. However, this approach may result in significant dose errors in both the tumor and the skin, with the latter being a critical organ in BNCT. Furthermore, owing to the lack of physical processes in purely NN-based approaches, their reliability for clinical dose calculations in BNCT is *** this study, a physically constrained MC-NN (PCMC-NN) coupling algorithm is proposed to achieve fast and accurate computation of the BNCT three-dimensional (3D) therapeutic dose distribution. This approach synergizes the high precision of the MC method with the speed of the NN and utilizes physical conservation laws to constrain the coupling process. It addresses the time-consuming issue of the traditional MC method while reducing dose *** data were collected from 113 glioblastoma patients. For each patient, the 3D dose distributions for both the coarse and detailed dose grids were calculated using the MC code PHITS. Among these patients, the data from 14 patients were allocated to the test set, 9 to the validation set, and the remaining to the training set. A neural network, 3D-Unet, was built based on the coarse grid dose and patient CT information to enable fast and accurate computation of the 3D detailed grid dose distribution of *** evaluations, including relative deviation, dose deviation, mean absolute error (MAE), and mean absolute percentage error (MAPE) were conducted. Our findings suggested that the PCMC-NN algorithm substantially outperformed the traditional NN and interpolation methods. Furthermore, the proposed algorithm significantly reduced errors, particularly in the skin and GTV,

关键词： coupling algorithm dose calculation Monte Carlo neural network

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A coupling algorithm of Finite Element Method and Smoothed Particle Hydrodynamics for Impact Computations

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CMC-COMPUTERS MATERIALS & CONTINUA 2011年第1期23卷 9-34页

作者： Xiao, Yihua Han, Xu Hu, Dean Hunan Univ State Key Lab Adv Design & Mfg Vehicle Body Changsha 410082 Hunan Peoples R China

For impact computations, it is efficient to model small and large deformation regions by Finite Element Method (FEM) and Smoothed Particle Hydrodynamics (SPH), respectively. However, it requires an effective algorithm to couple FEM and SPH calculations. To fulfill this requirement, an alternative coupling algorithm is presented in this paper. In the algorithm, the coupling between element and particle regions are achieved by treating elements as imaginary particles and applying equivalent tractions to element sides on coupling interfaces. In addition, an adaptive coupling technique is proposed based on the algorithm to improve the computational efficiency of FEM-SPH coupling further. For this technique, the initial model can totally consist of elements. During the deformation process distorted elements are converted to particles automatically and the generated particles are linked to adjacent elements with the present coupling algorithm. Several examples are included to demonstrate the accuracy and utility of the present coupling algorithm and adaptive coupling technique.

关键词： impact coupling algorithm adaptive coupling FEM SPH

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A coupling algorithm of the POD-Galerkin method and FVM for heat transfer problems

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JOURNAL OF THERMAL ANALYSIS AND CALORIMETRY 2024年 1-15页

作者： Feng, Xiang-You Bai, Fan Ding, Hao Tao, Wen-Quan Xian Jiaotang Univ Key Lab Thermo Fluid Sci & Engn MOE 28 Xian Ning Rd Xian 710049 Shaanxi Peoples R China

A novel coupling algorithm of the proper orthogonal decomposition (POD)-Galerkin projection method (PGM) and the finite volume method (FVM) is developed. The proposed coupling algorithm can be easily applied to complex heat transfer problems with a significant reduction in computation time. PGM is only adopted to calculate the sub-domain of heat conduction while FVM is adopted to calculate the sub-domain of the complex flow and heat transfer with openings and turbulence. Moreover, the most critical subject of the coupling of PGM and FVM at the interface based on the interfacial physical variables is comprehensively analyzed. Two coupling strategies are tested and analyzed: (1) D-D (Dirichlet-Dirichlet): the temperature profile at the interface is selected as the transferred information;and (2) D-N (Dirichlet-Neumann): the temperature and the heat flux at the interface are selected as the transferred information. A two-dimensional temperature simulation for an insulated gate bipolar transistor (IGBT) module is selected to assess the performance of the proposed coupling method. All the algorithm analyses in this study are performed via a homemade code based on Python. Results suggest that both the above coupling strategies can obtain a continuous temperature field within the maximum deviation of 0.05 degrees C\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$<^>{\circ }\text{C}$$\end{document} compared with the pure FVM simulation results on the entire computational domain for the given two-dimensional problem. The coupling algorithm of D-N(a) (PGM provides heat flux boundary for FVM and FVM provides temperature boundary for PGM at the interface) with the additional source term method achieves the best convergence and its calculation time is only about 1/3-2/5 of that required by pure FVM. T

关键词： POD-Galerkin method FVM coupling algorithm IGBT

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Genetic mechanism-based coupling algorithm for solving coordinated scheduling problems of yard systems in container terminals

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COMPUTERS & INDUSTRIAL ENGINEERING 2015年 89卷 34-42页

作者： Liang, Chengji Gu, Tianyi Lu, Bo Ding, Yi Shanghai Maritime Univ Logist Res Ctr Shanghai Peoples R China Shanghai Int Port Grp Co Ltd Shanghai Peoples R China Univ Chinese Acad Sci Sch Management Beijing Peoples R China Dalian Univ Inst Ecommerce & Modern Logist Dalian 116012 Peoples R China

This study develops models and methods utilized for solving the coordination scheduling problem in the yard of a container terminal. Based on the information shared by the yard storage subsystem and the YC scheduling subsystem, and the interaction between these subsystems, a coordination scheduling model, which is composed of a storage subsystem model, a YC scheduling subsystem and a coordinate controller model, is developed. A coupling algorithm, which is based on a genetic mechanism, is developed to solve the coordination scheduling problem. The algorithm adopts the genetic selection, crossover and mutation operations to adjust the yard storage plan and the YC scheduling plan. The performance of the coordination scheduling model and that of the proposed coupling algorithm are confirmed with reference to a numerical example. (C) 2015 Elsevier Ltd. All rights reserved.

关键词： Yard system in container terminals Operation line Coordinate model Genetic mechanism coupling algorithm

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A Preliminary Exploration of the coupling algorithm of the POD-Galerkin Method and FVM in the Temperature Simulation for an IGBT Module 14th

A Preliminary Exploration of the Coupling Algorithm of the P...

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14th International Conference on Computational Heat and Mass Transfer (ICCHMT)

作者： Feng, Xiang-You Bai, Fan Ding, Hao Tao, Wen-Quan Xi An Jiao Tong Univ Key Lab Thermofluid Sci & Engn MOE 28 Xian Ning Rd Xian 710049 Shaanxi Peoples R China

ISBN: (纸本)9783031666087;9783031666094

The proper orthogonal decomposition-Galerkin method (PGM) is an effective reduced-order method, which can predict in-situ physical fields rapidly and accurately based on a series of ex-situ results. However, the PGM suffers from difficulties in the application to the complex flow with openings and turbulence. This study preliminarily explores the coupling algorithm of the PGM and the finite volume method (FVM) to avoid these difficulties. A temperature simulation for an insulated gate bipolar transistor (IGBT) module is selected as an example for exhibition. The PGM is adopted to calculate the temperature field of the chip and substrate while the FVM is adopted to calculate the temperature fields of the external heat transfer. Moreover, the PGM and FVM performed in different computational domains are coupled at the interface. Two coupling algorithms are analyzed: (1) D-D (Dirichlet-Dirichlet): the temperatures at the interface are selected as the transmission information. (2) D-N (Dirichlet-Neumann): the temperature and the heat flux at the interface are selected as the transmission information. Results suggest that both the above coupling methods can obtain a continuous temperature field within the maximum deviation of 0.0045 degrees C compared with the results calculated by the FVM on the entire computational domain. The D-N coupling algorithm with additional source term method achieves the best convergence.

关键词： POD-Galerkin method FVM coupling algorithm IGBT

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NUMERICAL WIND TUNNEL TECHNIQUE FOR coupling algorithm OF WIND AND MEMBRANE STRUCTURE INTERACTION

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10th International Symposium on Structural Engineering for Young Experts

作者： Wang, Bin Yang, Qing-Shan Jin, Yu-Fen Beijing Jiaotong Univ Sch Civil Engn Beijing 100044 Peoples R China

ISBN: (纸本)9787030227058

With light mass, small stiffness and low natural frequency, membrane structures are sensitive to wind. Therefore, the coupling action must be considered in the analysis of wind-induced response of the membrane structures. Based on Computational Fluid Dynamics (CFD), the numerical wind tunnel technique is studied, which is effectively applied to the investigation of the wind pressure distribution of membrane structures. Two methodologies for solving this problem were introduced: strong coupling and weak coupling. For the weak coupling method, which is more absorbing, the computational fluid dynamics codes and computational structural dynamics codes were integrated into one program. In the process of dealing with arbitrarily complex fluid and structure interaction (FSI), there will be a number of coupling algorithm problems, such as the transfer of information between the coupled programs. As shown, numerical wind tunnel technique for coupling algorithm can be interpreted as an effective solution to the fully-coupled, complex problem that results from the discretization of the complete problem. Results from coupling problems on the membrane structures and wind load interaction indicate that the proposed approach offers a convenient and cost-effective method to solve the FSI problems by numerical wind tunnel technique for coupling algorithm.

关键词： coupling algorithm Numerical wind tunnel Finite-volume method CFD CSD

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