Communications in Nonlinear Science and Numerical Simulation最新文献_第9页

Effects of Volterra's formulation of heredity on vibrations in harmonic and Duffing oscillators Volterra的遗传公式对谐波和Duffing振子振动的影响

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-03-25 DOI: 10.1016/j.cnsns.2025.108799

Sifeu Takougang Kingni , Paul Woafo

{"title":"Effects of Volterra's formulation of heredity on vibrations in harmonic and Duffing oscillators","authors":"Sifeu Takougang Kingni , Paul Woafo","doi":"10.1016/j.cnsns.2025.108799","DOIUrl":"10.1016/j.cnsns.2025.108799","url":null,"abstract":"<div><div>In recent years, the effects of heredity on dynamical systems have been analysed using the fractional derivative. But, another way of considering the heredity is the integral formulation</div><div>proposed by Vito Volterra in 1912 and later almost forgotten. It can also be termed as long duration feedback. This paper presents some of the results of this formulation of the heredity on the dynamics of a linear harmonic oscillator and on that of the Duffing oscillator which are representatives of oscillating mechanical structures. For the linear oscillator, the heredity amplifies the vibration amplitude and shifts the resonance frequency to higher values. For the hereditary hardening Duffing oscillator, the analysis of the stability of the single equilibrium point reveals the existence of a Hopf bifurcation appearing at a given value of the heredity coefficient. This leads to self-sustained oscillations which are determined mathematically using the averaging method and confirmed numerically. The heredity also modifies the length of the hysteresis domain through the change of the effective stiffness and damping coefficients. It can also be a source of chaos in a system free of chaos which can appear through quasiperiodic routes and period-doubling. For the hereditary Duffing oscillator with single hump and double well potential or the bistable Duffing oscillator with three equilibrium points, one also finds the existence of a Hopf bifurcation appearing at a given value of the heredity coefficient. The hereditary bistable Duffing oscillator unveils monostable and bistable periodic characteristics, period doubling to monostable and bistable chaos and coexistence between chaotic and periodic characteristics.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"146 ","pages":"Article 108799"},"PeriodicalIF":3.4,"publicationDate":"2025-03-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143725217","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

Two-grid FEM for fractional diffusion problems with limited regularity 有限正则性分数扩散问题的两网格有限元分析

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-03-22 DOI: 10.1016/j.cnsns.2025.108776

Mariam Al-Maskari, Samir Karaa

引用次数: 0

Bivariate substitutions from analytic kernels to fractional differintegral operators 从解析核到分数阶微分积分算子的二元替换

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-03-21 DOI: 10.1016/j.cnsns.2025.108774

Sunday Simon Isah , Arran Fernandez , Mehmet Ali Özarslan

引用次数: 0

Extended thermodynamic and mechanical evolution criterion for fluids 流体的扩展热力学和力学演化准则

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-03-20 DOI: 10.1016/j.cnsns.2025.108775

David Hochberg , Isabel Herreros

{"title":"Extended thermodynamic and mechanical evolution criterion for fluids","authors":"David Hochberg , Isabel Herreros","doi":"10.1016/j.cnsns.2025.108775","DOIUrl":"10.1016/j.cnsns.2025.108775","url":null,"abstract":"<div><div>The Glansdorff and Prigogine General Evolution Criterion (GEC) is an inequality that holds for macroscopic physical systems obeying local equilibrium and that are constrained under time-independent boundary conditions. The latter, however, may prove overly restrictive for many applications involving fluid flow in physics, chemistry and biology. We therefore analyze in detail a physically more-encompassing evolution criterion for time-dependent convective viscous flows with time-dependent boundary conditions: The Extended General Evolution Criterion (EGEC). The result is an inequality involving the sum of a bulk volume and a surface contribution, and reduces to the GEC if and only if the surface term is zero. We first use the closed-form analytical solution of the Poiseuille starting flow problem in straight cylindrical pipes to confirm the validity of the EGEC. Next, we validate both the Poiseuille starting flow problem and the EGEC numerically. Numerical methods are employed to test the EGEC in not fully developed flows within complex geometries, including curvature and torsion, such as those encountered in helical pipes. Notably, knowledge of only the algebraic sign of the surface contribution is sufficient to predict how the volume thermodynamic forces evolve over time and how the system approaches its non-equilibrium stationary state, consistent with the boundary conditions.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"146 ","pages":"Article 108775"},"PeriodicalIF":3.4,"publicationDate":"2025-03-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143748320","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 novel Cercignani–Lampis boundary model for discrete velocity methods in predicting rarefied and multi-scale flows 一种新的Cercignani-Lampis边界模型用于离散速度法预测稀薄和多尺度流动

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

Sharkovskii theorem for infinite dimensional dynamical systems 无限维动力系统的Sharkovskii定理

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 variable-step, structure-preserving and linear fully discrete scheme for the two-mode phase-field crystal model with face-centered-cubic ordering 面心立方有序双模相场晶体模型的变步长、结构保持和线性全离散格式

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 基于流体-多孔介质耦合渗流的页岩储层模型高阶高效自适应时间滤波算法

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 含分数Sturm-Liouville算子的时空分数扩散方程的逆源问题

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