Applied Mathematical Modelling最新文献

{"title":"A simple approach for effective CFD simulation of turbulent pipe transport of shear-thinning, power-law fluids","authors":"J.I. Soto ,&nbsp;G.V. Messa ,&nbsp;M.R. Malin ,&nbsp;W. Brevis","doi":"10.1016/j.apm.2025.116324","DOIUrl":"10.1016/j.apm.2025.116324","url":null,"abstract":"<div><div>This study presents a simple, efficient approach for the CFD simulation of turbulent pipe transport of shear-thinning, power-law fluids. The method is developed within the Newtonian-based Reynolds-Averaged Navier-Stokes (RANS) framework, and it relies on a modification to the Reynolds-averaged apparent viscosity function to compensate for errors induced by the non-decomposition of the instantaneous apparent viscosity, as well as for the use of turbulence models developed for Newtonian fluids. Specifically, the Reynolds-averaged apparent viscosity switches from a power law to a logarithmic function for averaged shear rates below a threshold value, called the “critical shear rate”, which becomes a calibration parameter of the model. The new framework was tested against DNS data reported in the literature for different pipe-flow conditions, covering combinations of flow index <span><math><mi>n</mi><mo>=</mo><mo>{</mo><mn>1.0</mn><mo>,</mo><mn>0.8</mn><mo>,</mo><mn>0.6</mn><mo>}</mo></math></span> and friction Reynolds number <span><math><msub><mrow><mi>Re</mi></mrow><mrow><mi>τ</mi></mrow></msub><mo>=</mo><mo>{</mo><mn>323</mn><mo>,</mo><mn>500</mn><mo>,</mo><mn>750</mn><mo>}</mo></math></span>, as well as against well-established correlations for the friction factor, with the analysis extended to cases up to <span><math><mi>n</mi><mo>=</mo><mn>0.4</mn></math></span> and <span><math><msub><mrow><mi>Re</mi></mrow><mrow><mi>τ</mi></mrow></msub><mo>=</mo><mn>2</mn><mo>,</mo><mn>500</mn></math></span>. The analysis was conducted by employing three different turbulence models, namely Lam-Bremhorst <em>k</em>-<em>ε</em>, two-layer <em>k</em>-<em>ε</em>, and <em>k</em>-<em>ω</em> SST, which all rely on a low-Reynolds number treatment to obtain a detailed flow description in the near-wall region. The proposed approach appears attractive from an engineering standpoint, as it allows obtaining reasonably accurate prediction of main features of turbulent pipe transport of shear-thinning, power-law fluids, with a simple mathematical formulation and a robust and easy-to-converge character that can make a difference for the application to more complex flows.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"150 ","pages":"Article 116324"},"PeriodicalIF":4.4,"publicationDate":"2025-07-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144703041","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Study of the interplay between cancer, inflammation, and immune disorders: A cellular automaton approach","authors":"Juan Uriel Legaria-Peña,&nbsp;Félix Sánchez-Morales,&nbsp;Yuriria Cortés-Poza","doi":"10.1016/j.apm.2025.116315","DOIUrl":"10.1016/j.apm.2025.116315","url":null,"abstract":"<div><div><em>Cancer</em> is a complex disease influenced by immune system interactions and inflammatory processes. This study introduces a novel tumor-immune cellular automaton (CA) to explore the relationship between autoimmune diseases and cancer, the effects of immunosuppressive therapies on tumor growth, and potential treatment interactions in comorbid cases. Simulations reveal that autoimmune diseases can accelerate tumor progression, mainly when cancer cells exhibit high immune evasion and inflammatory responses. Conversely, our model suggests an overactive immune system may eliminate less aggressive tumors. Our simulations also showed that immunosuppressive treatments contributed to tumor growth. This fact aligns with clinical findings linking immunosuppression to higher cancer risk, highlighting the importance of personalized treatment strategies for immune dysfunction and comorbidities. Computational models like the one presented here provide a valuable framework for optimizing therapeutic approaches where cancer and immune disorders coexist.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"150 ","pages":"Article 116315"},"PeriodicalIF":4.4,"publicationDate":"2025-07-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144703040","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Wave propagations and high-frequency vibrations in intrinsically mode-reconfigurable resonator by a spatial polarization tailoring","authors":"Zinan Zhao ,&nbsp;Xudong Shen ,&nbsp;Nian Li ,&nbsp;Weiqiu Chen","doi":"10.1016/j.apm.2025.116308","DOIUrl":"10.1016/j.apm.2025.116308","url":null,"abstract":"<div><div>This article investigates wave propagation and high-frequency vibrations in intrinsically mode-reconfigurable acoustically coupled resonators. By leveraging the electrically switchable polarization direction of piezoelectric films, we achieve complementary excitations in the fundamental thickness-extensional and second thickness-extensional modes, with a frequency ratio approaching two. Dispersion equations for bulk wave propagation in mode-reconfigurable resonators under two polarization states are derived and solved using the bisection method. Through analysis of mode shapes, including mechanical displacements, electric potential, stresses, and electric displacement, we reveal the underlying mechanical mechanism enabling complementary harmonic excitations when the piezoelectric films are poled in the same or opposite directions. Furthermore, mode-coupled vibrations in resonators operating with different harmonic modes are studied based on the higher-order stress balance principle. Frequency spectrograms characterizing mode-coupling intensities under different polarization states are obtained, allowing us to identify desirable harmonic vibration modes with weak coupling for radio-frequency applications. Additionally, desirable length-to-thickness ratios are determined to guide structural designs of mode-reconfigurable resonators. These findings provide critical insights into the operational mechanisms and vibration control strategies in mode-reconfigurable resonators, advancing their implementation in tunable radio-frequency systems.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"150 ","pages":"Article 116308"},"PeriodicalIF":4.4,"publicationDate":"2025-07-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144703039","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Flexible-rigid dynamics and vibration suppression of slender structures on partial space elevator","authors":"Gefei Shi ,&nbsp;Zheng H. Zhu","doi":"10.1016/j.apm.2025.116326","DOIUrl":"10.1016/j.apm.2025.116326","url":null,"abstract":"<div><div>This paper studied the coupled flexible-rigid dynamics of a partial space elevator with slender and flexible structural appendages on the main satellite with the goal of suppressing flexural vibration of the appendages caused by climber movement. The partial space elevator is modeled as a two-piece dumbbell system, with the local dynamics of the main satellite simplified to attitude and flexural motions of appendages using modal decomposition. Flexible-rigid dynamic coupling occurs at the main satellite, where its attitude and flexural deflection of appendages interact with the orbital motion of the partial space elevator induced by the climber's movement. However, the main satellite’s influence on overall libration and orbital dynamics is negligible due to the large tether-to-satellite size ratio, allowing local decoupling of its dynamics. Accordingly, the dynamic model for the main satellite is locally decoupled from the libration and orbital dynamics of the partial space elevator to analyze the dynamic characteristics. This model reveals two distinct features: (i) steady state of flexural deformation of appendages (under which, appendages will be in a bending deformation state without vibration) occurs from gravity gradient difference across the partial space elevator, an effect absent in standalone satellites with similar slender and flexible structural appendages; and (ii) a steady state for the partial space elevator does not guarantee a steady state for the flexible appendages, even with zero initial deflection. By treating the flexible-rigid coupling effect and modeling approximation errors as disturbances, a sliding mode control law based on modal decomposition of a beam is developed to suppress flexural vibration of appendages during climber transfer by exclusively adjusting the tether length at the end body. The stability of the control law is proved by Lyapunov theory. Numerical simulations demonstrate that the proposed control law effectively suppresses the flexural motion of flexible structures on the main satellite throughout the climber transfer.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"150 ","pages":"Article 116326"},"PeriodicalIF":4.4,"publicationDate":"2025-07-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144713836","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"A multi-objective integrated supply chain model under dynamic allocation of temporary vaccine centers and uncertain demand","authors":"Ismail I. Almaraj ,&nbsp;Muhammad H. Al-Yagoub ,&nbsp;Theodore B. Trafalis ,&nbsp;Dee H. Wu","doi":"10.1016/j.apm.2025.116328","DOIUrl":"10.1016/j.apm.2025.116328","url":null,"abstract":"<div><div>The vaccine supply chain is a complex, multi-tiered system that ensures the efficient production, storage, distribution, and delivery of vaccines to healthcare facilities and populations worldwide. To address research gaps identified in the literature, this study proposes a new multi-objective integrated supply chain model for vaccine distribution. Our contribution lies in designing a model that accounts for multiple periods and supply chain echelons, allowing vaccine centers to be relocated or reopened based on demand fluctuations. Additionally, resources within these centers (vaccine stations) are optimally allocated to enhance efficiency. Given the uncertainty in vaccine demand, we formulate a robust counterpart model using a budget uncertainty set, incorporating predefined bounds to improve solution quality. The model includes three objective functions: minimizing rectilinear distance between supply chain echelons, reducing total costs across the distribution network, and minimizing environmental impact. These objectives are formulated using the goal programming approach to achieve a balanced solution. Due to the complexity of large-scale problems, we employ the K-Means clustering method to enhance model tractability while maintaining solution quality. The model’s efficiency is validated through a case study, showing that as the number of clusters increases from 5 to 35, the total supply chain cost rises by 2.8 %, while the environmental impact decreases by 3.1 %. These results validate trade-offs between the number of clusters and overall system performance. Fewer clusters lead to longer distances between demand zones, increasing transportation costs and emissions, while more clusters result in higher logistics costs due to increased travel and facility use.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"150 ","pages":"Article 116328"},"PeriodicalIF":4.4,"publicationDate":"2025-07-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144711008","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"A Gegenbauer-polynomial-based semi-analytical approach for dynamic modeling of series-parallel pipe systems under elastic boundary conditions","authors":"Hongda Xu ,&nbsp;Xufang Zhang ,&nbsp;Zhonghan Sun ,&nbsp;Shengzhe Sun","doi":"10.1016/j.apm.2025.116317","DOIUrl":"10.1016/j.apm.2025.116317","url":null,"abstract":"<div><div>This study introduces a Gegenbauer-polynomial-based semi-analytical approach (GP-SAA) for dynamic modeling of series-parallel pipe (SPP) systems under elastic boundary conditions. By leveraging the Timoshenko beam theory, energy formulations for straight and curved pipes, single and dual clamps, and pipe joints are derived. The Virtual Spring Technology (VST), which effectively models the dynamic coupling effects arising from pipe-pipe, clamp-pipe, and pipe-connector interactions, is employed to establish elastic boundary conditions. To ensure the numerical accuracy and computational efficiency of the GP-SAA framework, a systematic convergence analysis of key parameters is performed. A prototype of the SPP system and its finite element (FE) model are independently developed to benchmark the proposed methodology via the experimental modal analysis. Convergence studies based on multiple realizations of the polynomial parameter are conducted to identify a proper truncation term for the GP-SAA. Furthermore, parametric investigations into critical factors such as pipe geometry, clamp positions, and connector locations are performed to investigate their combined effects on natural frequency characteristics of the SPP system. Numerical results demonstrate the effectiveness and potential applicability of the GP-SAA for dynamic modeling of SPP systems in general.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"149 ","pages":"Article 116317"},"PeriodicalIF":4.4,"publicationDate":"2025-07-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144686423","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Analytical solutions of curvilinear nano-beams: An application to nano-circular ring problems and gradient initial stresses","authors":"Teoman Özer ,&nbsp;Martin Kröger","doi":"10.1016/j.apm.2025.116319","DOIUrl":"10.1016/j.apm.2025.116319","url":null,"abstract":"<div><div>This study investigates the analytical solutions for homogeneous, not only isotropic but also anisotropic curved nano-beams with axial symmetry and extends classical elasticity (CE) to gradient elasticity (GE). The stress fields are determined using a gradient Airy stress function, which corresponds to the classical Airy stress potential. For both cases, the gradient Airy stress functions are derived from analytical solutions of the governing differential equations, which are written in the form of the (classical) Airy stress function. The corresponding stress in GE is determined for different cases with displacement fields derived from CE. The analytical solutions show that GE stresses and displacement fields contain expressions with Bessel and hypergeometric functions. These solutions make it possible to compare the CE and GE stress and displacement fields. As an application, the stress and displacement fields for a nano-circular ring representing a multiply connected body are solved analytically for classical and nano-scale cases. In addition, the initial stresses are extended to GE for nested rings, where the GE initial stresses are introduced. Finally, it is shown analytically and numerically that the GE solutions for all derived stress and displacement fields, including the gradient Airy stress functions, approach CE when the gradient coefficient <em>c</em> converges to zero.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"149 ","pages":"Article 116319"},"PeriodicalIF":4.4,"publicationDate":"2025-07-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144686422","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Enhanced dissipation by advection and applications to PDEs","authors":"A.L. Mazzucato ,&nbsp;Y. Feng ,&nbsp;C. Nobili","doi":"10.1016/j.apm.2025.116310","DOIUrl":"10.1016/j.apm.2025.116310","url":null,"abstract":"<div><div>This survey provides a concise yet comprehensive overview on enhanced dissipation phenomena, transitioning seamlessly from the physical principles underlying the interplay between advection and diffusion to their rigorous mathematical formulation and analysis. The discussion begins with the standard theory of enhanced dissipation, highlighting key mechanisms and results, and progresses to its applications in notable nonlinear PDEs such as the Cahn-Hilliard and the Kuramoto-Sivashinsky equations.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"150 ","pages":"Article 116310"},"PeriodicalIF":4.4,"publicationDate":"2025-07-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144694634","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Twistor-based integrated double hyperbolic sliding mode control for time-varying quadrotor UAV systems","authors":"Jiaxing Zhou ,&nbsp;Wei Chen ,&nbsp;Yifan Deng ,&nbsp;Qing Li ,&nbsp;Zhao Deng","doi":"10.1016/j.apm.2025.116309","DOIUrl":"10.1016/j.apm.2025.116309","url":null,"abstract":"<div><div>This study pioneers the application of the twistor framework to address pose-coupled disturbances in UAVs with time-varying payloads. The twistor-based time-varying UAV dynamics concurrently describes translational and rotational dynamics, eliminating the need for algebraic transformation operations inherent in decoupled approaches while avoiding the parameter redundancy and normalization constraint of dual quaternion. Although twistor resolves fundamental dynamic limitations of conventional approach, complex disturbances from the time-varying payload require controllers with enhanced robustness and efficiency—a challenge unmet by existing twistor-based framework. To tackle pose-coupled disturbances within this framework, a double hyperbolic sliding mode controller (DH-SMC) featuring a novel double hyperbolic reaching law is proposed in this study. Results from numerical simulations and hard ware in the loop (HIL) experiments demonstrate that the proposed DH-SMC significantly outperforms constant-velocity SMC (CV-SMC), achieving a 29.8% reduction in energy consumption, 15.1% faster convergence, and a 70.3% decrease in maximum steady-state position error, confirming its superior robustness and real-time capability.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"149 ","pages":"Article 116309"},"PeriodicalIF":4.4,"publicationDate":"2025-07-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144686421","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Adaptive neural network control of manipulators with input deadband and field-of-view constraints","authors":"Jianjun Jiao ,&nbsp;Zonggang Li ,&nbsp;Guangqing Xia ,&nbsp;Yinjuan Chen ,&nbsp;Jianzhou Xin","doi":"10.1016/j.apm.2025.116311","DOIUrl":"10.1016/j.apm.2025.116311","url":null,"abstract":"<div><div>There exist input dead zone and field-of-view constraints in visual dynamic manipulator systems due to image information loss and uncertainty in actuator physical characteristics, which lead to reduced control accuracy, boundary-induced oscillations, motion instability, and high control energy consumption. In this study, a novel zone Barrier Lyapunov Functions based adaptive neural network visual controller is proposed to address these problems. First, the system model is transformed into an image-based second-order dynamic model, and for the unknown unmeasurable states in the model, a high-gain observer is utilized to achieve accurate estimation. Second, to improve the flexibility of the image trajectory and velocity in the constraint area, a new zone Barrier Lyapunov Functions function is introduced to the visual servoing controller. Additionally, an adaptive neural network approximates the input dead zone model and the unknown part of the system dynamics. Then, the stability of the system and the boundedness of all error signals are theoretically proven using the Lyapunov technique to ensure that the field-of-view constraints are not violated. Finally, comparative simulation and experimental results verify the effectiveness and superiority of the proposed method. The results show that our method can keep the image feature point error around 5 pixels without violating the constraints, and the overall energy consumption of the system is reduced by 83.58% compared to the BLF method and 31.58% compared to the tangent barrier Lyapunov function method, which has significant potential applications in manipulator vision systems.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"150 ","pages":"Article 116311"},"PeriodicalIF":4.4,"publicationDate":"2025-07-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144665009","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}