Communications in Nonlinear Science and Numerical Simulation最新文献_第3页

Sharkovskii theorem for infinite dimensional dynamical systems

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-03-20 DOI: 10.1016/j.cnsns.2025.108770

Anna Gierzkiewicz, Robert Szczelina

引用次数: 0

A novel Cercignani–Lampis boundary model for discrete velocity methods in predicting rarefied and multi-scale flows

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-03-20 DOI: 10.1016/j.cnsns.2025.108769

Jianfeng Chen , Sha Liu , Rui Zhang , Hao Jin , Congshan Zhuo , Ming Fang , Yanguang Yang , Chengwen Zhong

{"title":"A novel Cercignani–Lampis boundary model for discrete velocity methods in predicting rarefied and multi-scale flows","authors":"Jianfeng Chen , Sha Liu , Rui Zhang , Hao Jin , Congshan Zhuo , Ming Fang , Yanguang Yang , Chengwen Zhong","doi":"10.1016/j.cnsns.2025.108769","DOIUrl":"10.1016/j.cnsns.2025.108769","url":null,"abstract":"<div><div>To extend the discrete velocity method (DVM) and unified methods to more realistic boundary conditions, a Cercignani–Lampis (CL) boundary with different momentum and thermal energy accommodations is proposed and integrated into the DVM framework. By giving the macroscopic flux from the numerical quadrature of the incident molecular distribution, the reflected macroscopic flux can be obtained for the given accommodation coefficients. Then, an anisotropic Gaussian distribution can be found for the reflected molecules, whose parameters are determined by the calculated reflected macroscopic flux. These macroscopic flux and microscopic Gaussian distribution form a complete physical process for the reflected molecules. Furthermore, the CL boundary is integrated into the unified gas-kinetic scheme (UGKS), making it suitable for the simulation of both monatomic and diatomic gas flows, and it accommodates both the conventional Cartesian velocity space and the recently developed efficient unstructured velocity space. Moreover, this new GSI boundary is suitable for both explicit and implicit schemes, offering better performance for flow prediction. Finally, the performance of the new boundary is validated through a series of numerical tests covering a wide range of Knudsen and Mach numbers.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"146 ","pages":"Article 108769"},"PeriodicalIF":3.4,"publicationDate":"2025-03-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143760562","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

A variable-step, structure-preserving and linear fully discrete scheme for the two-mode phase-field crystal model with face-centered-cubic ordering

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-03-20 DOI: 10.1016/j.cnsns.2025.108766

Yingying Xie , Qi Li , Liquan Mei , Weilong Wang

{"title":"A variable-step, structure-preserving and linear fully discrete scheme for the two-mode phase-field crystal model with face-centered-cubic ordering","authors":"Yingying Xie , Qi Li , Liquan Mei , Weilong Wang","doi":"10.1016/j.cnsns.2025.108766","DOIUrl":"10.1016/j.cnsns.2025.108766","url":null,"abstract":"<div><div>Combining the stabilized scalar auxiliary variable approach and the variable-step second-order backward difference formula, an adaptive time-stepping scheme is proposed for the two-mode phase-field crystal model with face-centered-cubic ordering. Specifically, introduce an auxiliary variable to handle the nonlinear term and obtain a new equivalent system, then perform a variable-step second-order approximation on the phase-field variable and a variable-step first-order approximation on the auxiliary variable, that is crucial for proving energy stability. Despite employing a low-order approximation for the auxiliary variable, as long as mild constraints are placed on the constant within this auxiliary variable, the second-order temporal accuracy of the phase-field variable will remain unaffected. By utilizing the boundedness of the <span><math><msup><mrow><mi>H</mi></mrow><mrow><mn>4</mn></mrow></msup></math></span> norm for the numerical solution of the phase-field variable on nonuniform temporal grids, this paper performs a thorough error analysis of the fully discrete scheme. Some numerical simulations are conducted to verify the temporal accuracy, mass conservation, and energy dissipation. Additionally, to balance the efficiency and accuracy of the numerical experiments, we have selected an appropriate time-adaptive strategy for long-term simulations of phase transition behavior and crystal growth behavior of the phase-field variable.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"146 ","pages":"Article 108766"},"PeriodicalIF":3.4,"publicationDate":"2025-03-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143687674","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Adaptive double-inertial projection rules for variational inequalities and CFPPs of finite Bregman relative demicontractions and asymptotical nonexpansivity operators 自适应双惯性投影规则的变分不等式和 CFPP 的有限布雷格曼相对非扩张性和渐近非扩张性算子

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-03-20 DOI: 10.1016/j.cnsns.2025.108763

Lu-Chuan Ceng , Yue Zhang, Liu-Fang Zheng, Xie Wang, Cong-Shan Wang, Hui-Ying Hu

引用次数: 0

A high-order, high-efficiency adaptive time filter algorithm for shale reservoir model based on coupled fluid flow with porous media flow

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-03-19 DOI: 10.1016/j.cnsns.2025.108771

Jian Li , Lele Chen , Yi Qin , Zhangxin Chen

{"title":"A high-order, high-efficiency adaptive time filter algorithm for shale reservoir model based on coupled fluid flow with porous media flow","authors":"Jian Li , Lele Chen , Yi Qin , Zhangxin Chen","doi":"10.1016/j.cnsns.2025.108771","DOIUrl":"10.1016/j.cnsns.2025.108771","url":null,"abstract":"<div><div>In this paper, a third-order time adaptive algorithm with less computation, low complexity is provided for shale reservoir model based on coupled fluid flow with porous media flow. This algorithm combines a method of three-step linear time filters for simple post-processing and a second-order backward differential formula (BDF2), is third-order accurate in time, and provides no extra computational complexity. At the same time, the time filter method can also be used to damp non-physical oscillations inherent in the BDF2 method, ensuring stability. We prove the algorithm’s stability of the constant stepsize second-order backward differential formula plus time filter (BDF2-TF) and the third-order convergence properties of the fluid velocity <span><math><mi>u</mi></math></span> and hydraulic head <span><math><mi>ϕ</mi></math></span> in the <span><math><msup><mrow><mi>L</mi></mrow><mrow><mn>2</mn></mrow></msup></math></span> norm. In numerical experiments, this adaptive algorithm automatically adjusts a time step in response to the varying characteristics of different models, ensuring that errors are maintained within acceptable limits. The algorithm addresses the issue that high-order algorithms may select inappropriate time steps, resulting in instability or reduced accuracy of a numerical solution, and thereby it enhances calculation accuracy and efficiency. We perform three-dimensional numerical tests to examine the BDF2-TF algorithm’s effectiveness, stability, and third-order convergence. Simultaneously, a simplified model is employed to simulate the process of shale oil extraction from reservoirs, further demonstrating the algorithm’s practical applicability.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"146 ","pages":"Article 108771"},"PeriodicalIF":3.4,"publicationDate":"2025-03-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143687675","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Inverse source problem for the time-space fractional diffusion equation involving the fractional Sturm–Liouville operator

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-03-19 DOI: 10.1016/j.cnsns.2025.108772

Kaiyu Lyu, Hao Cheng

引用次数: 0

Research on novel nonlinear Bernoulli grey model with hybrid accumulation and its application in forecasting natural gas production and consumption

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-03-19 DOI: 10.1016/j.cnsns.2025.108773

Tianzi Li , Xin Ma , Wenqing Wu , Qingping He

{"title":"Research on novel nonlinear Bernoulli grey model with hybrid accumulation and its application in forecasting natural gas production and consumption","authors":"Tianzi Li , Xin Ma , Wenqing Wu , Qingping He","doi":"10.1016/j.cnsns.2025.108773","DOIUrl":"10.1016/j.cnsns.2025.108773","url":null,"abstract":"<div><div>Accumulation operators play an important role in grey system models. However, with specific mechanism, each operator is effective only for specific temporal characteristics of the time series. In order to further utilize the effectiveness of existing accumulation operators, especially the ones with nonlinear features such as fractional order accumulation and information priority accumulation, this work introduces a novel nonlinear Bernoulli grey model with hybrid accumulation. Within more complex mechanism the proposed model involves in more nonlinear parameters, thus the Particle Swarm Optimization is further utilized to search the optimal values by solving a nonlinear programming objected in minimizing the validation errors of the model in given data sets. The effectiveness of the proposed model was evaluated through two validation cases: per capita primary energy consumption and its carbon dioxide emissions in Pakistan. Upon validating the accuracy and efficiency of the model, it was further applied in 4 real-world case studies of forecasting natural gas production in China, natural gas production in Brunei, natural gas consumption in Mexico, and natural gas consumption in Saudi Arabia. The results indicate that the proposed model outperforms existing models with significantly lower error rates and achieving superior predictive performance.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"146 ","pages":"Article 108773"},"PeriodicalIF":3.4,"publicationDate":"2025-03-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143705341","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

A structure-preserving parametric finite element method for solid-state dewetting on curved substrates

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-03-19 DOI: 10.1016/j.cnsns.2025.108767

Weizhu Bao , Yifei Li , Quan Zhao

{"title":"A structure-preserving parametric finite element method for solid-state dewetting on curved substrates","authors":"Weizhu Bao , Yifei Li , Quan Zhao","doi":"10.1016/j.cnsns.2025.108767","DOIUrl":"10.1016/j.cnsns.2025.108767","url":null,"abstract":"<div><div>We consider a two-dimensional sharp-interface model for solid-state dewetting of thin films with anisotropic surface energies on curved substrates, where the film/vapor interface and the substrate surface are represented by an evolving curve and a static curve, respectively. The continuum model is governed by the anisotropic surface diffusion for the evolving curve, with appropriate boundary conditions at the contact points where the two curves meet. The model obeys an energy decay law and preserves the enclosed area between the two curves. We introduce an arclength parameterization for the substrate curve, which plays a crucial role in a structure-preserving approximation as it straightens the curved substrate and tracks the length changes between the contact points. Based on this insight, we introduce a symmetrized weak formulation which leads to an unconditional energy stable parametric approximation in terms of the discrete energy. We also provide an error estimate of the enclosed area, which depends on the substrate profile and can be zero in the case of a flat substrate. Furthermore, we introduce a correction to the discrete normals to enable an exact area preservation for general curved substrates. The resulting nonlinear system is efficiently solved using a hybrid iterative algorithm which combines both Picard and Newton’s methods. Numerical results are presented to show the robustness and good properties of the introduced method for simulating solid-state dewetting on various curved substrates.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"146 ","pages":"Article 108767"},"PeriodicalIF":3.4,"publicationDate":"2025-03-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143687677","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Numerical analysis for variable thickness plate with variable order fractional viscoelastic model

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-03-17 DOI: 10.1016/j.cnsns.2025.108764

Lin Sun , Jingguo Qu , Gang Cheng , Thierry Barrière , Yuhuan Cui , Aimin Yang , Yiming Chen

{"title":"Numerical analysis for variable thickness plate with variable order fractional viscoelastic model","authors":"Lin Sun , Jingguo Qu , Gang Cheng , Thierry Barrière , Yuhuan Cui , Aimin Yang , Yiming Chen","doi":"10.1016/j.cnsns.2025.108764","DOIUrl":"10.1016/j.cnsns.2025.108764","url":null,"abstract":"<div><div>An accurate constitutive model for viscoelastic plates with variable thickness is crucial for understanding their deformation behaviour and optimizing the design of material-based devices. In this study, a variable order fractional model with a precise order function is proposed to effectively characterize the viscoelastic behaviour of variable thickness plates. The shifted Legendre polynomials algorithm is employed to solve the variable order fractional partial differential equation in the time domain, with a minimum absolute error of <span><math><mrow><mn>1</mn><mo>.</mo><mn>521</mn><mo>×</mo><mn>1</mn><msup><mrow><mn>0</mn></mrow><mrow><mo>−</mo><mn>8</mn></mrow></msup></mrow></math></span>. The computational time is reduced by 30 % and the convergence rate is increased by over 50 % compared to the shifted Bernstein polynomials algorithm. Numerical analysis shows that viscoelastic plates with quadratic thickness variation exhibit the smallest displacement changes and the polyethylene terephthalate plates outperform the polyurethane plates in bending properties. These findings highlight the reliability and effectiveness of the numerical algorithm based on the shifted Legendre polynomials as a powerful tool for solving fractional equations, with significant potential in mechanical engineering.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"146 ","pages":"Article 108764"},"PeriodicalIF":3.4,"publicationDate":"2025-03-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143644006","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Efficient second-order decoupled scheme of the diffuse interface model for mass transport through semi-permeable membranes

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-03-17 DOI: 10.1016/j.cnsns.2025.108761

Danchen Zhu , Chunya Wu , Xinlong Feng , Lingzhi Qian

引用次数: 0