Computers & Mathematics with Applications最新文献_第7页

Comparison of implicit enthalpy methods for Stefan problems Stefan问题的隐式焓法比较

IF 2.5 2区数学

Computers & Mathematics with Applications Pub Date : 2025-08-20 DOI: 10.1016/j.camwa.2025.08.015

Manuel Colera , Mario Freire-Torres , Jaime Carpio

引用次数: 0

A complex-scaled boundary integral equation for the embedded eigenvalues and complex resonances of the Neumann-Poincaré operator on domains with corners 带有角的域上neumann - poincar<s:1>算子的内嵌特征值和复共振的复尺度边界积分方程

IF 2.5 2区数学

Computers & Mathematics with Applications Pub Date : 2025-08-18 DOI: 10.1016/j.camwa.2025.08.012

Luiz M. Faria , Florian Monteghetti

引用次数: 0

High-order linearly implicit energy-stable schemes for two-dimensional Navier–Stokes equations in vorticity-velocity formulation 涡速-速度型二维Navier-Stokes方程的高阶线性隐式能量稳定格式

IF 2.5 2区数学

Computers & Mathematics with Applications Pub Date : 2025-08-18 DOI: 10.1016/j.camwa.2025.08.010

Lei Zhao , Dong Liang , Zhiyue Zhang

引用次数: 0

High-order mass conservative compact characteristic finite volume methods for advection-dominated diffusion equations 平流主导扩散方程的高阶质量保守紧化特征有限体积法

IF 2.5 2区数学

Computers & Mathematics with Applications Pub Date : 2025-08-14 DOI: 10.1016/j.camwa.2025.08.004

Kai Fu , Shusen Xie , Dong Liang , Yilei Shi

{"title":"High-order mass conservative compact characteristic finite volume methods for advection-dominated diffusion equations","authors":"Kai Fu , Shusen Xie , Dong Liang , Yilei Shi","doi":"10.1016/j.camwa.2025.08.004","DOIUrl":"10.1016/j.camwa.2025.08.004","url":null,"abstract":"<div><div>In this work, high-order mass conservative compact characteristic finite volume methods are derived for advection-dominated diffusion equations. To overcome the restriction of the time step and obtain higher temporal accuracy, the method of characteristics is employed to treat the advection term. The compact finite volume technique is used to construct spatial fourth-order schemes with fewer blocks than traditional methods. Moreover, the Alternating Direction Implicit (ADI) method is utilized to effectively solve two-dimensional problems. The proposed compact finite volume methods can achieve temporally second-order and spatially fourth-order accuracy and possess mass conservation by implementing conservative interpolations and averaging along the characteristics. The temporal and spatial accuracy of the schemes, as well as the mass conservation property, are demonstrated in numerical tests on the solution of Gaussian pulse moving and viscous Burgers' equations. The computational results of transporting a square and a slotted cylinder show the good performance of the proposed methods in preserving mass and simulating the transport of concentration distributions with steep gradients.</div></div>","PeriodicalId":55218,"journal":{"name":"Computers & Mathematics with Applications","volume":"197 ","pages":"Pages 112-134"},"PeriodicalIF":2.5,"publicationDate":"2025-08-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144841108","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

Conforming/non-conforming mixed finite element methods for optimal control of velocity-vorticity-pressure formulation for the Oseen problem with variable viscosity 变黏度osee问题速度-涡度-压力公式优化控制的符合/不符合混合有限元方法

IF 2.5 2区数学

Computers & Mathematics with Applications Pub Date : 2025-08-14 DOI: 10.1016/j.camwa.2025.08.005

Harpal Singh, Arbaz Khan

{"title":"Conforming/non-conforming mixed finite element methods for optimal control of velocity-vorticity-pressure formulation for the Oseen problem with variable viscosity","authors":"Harpal Singh, Arbaz Khan","doi":"10.1016/j.camwa.2025.08.005","DOIUrl":"10.1016/j.camwa.2025.08.005","url":null,"abstract":"<div><div>This work examines the distributed optimal control of generalized Oseen equations with non-constant viscosity and no-slip boundary conditions. We propose and analyze a new conforming augmented mixed finite element method and a discontinuous Galerkin (DG) scheme for the model written in velocity-vorticity-pressure formulation. The continuous formulation, which incorporates least-squares terms from both the constitutive equation and the incompressibility condition, is well-posed under certain assumptions on the viscosity parameter. The CG method is divergence-conforming and suits any Stokes inf-sup stable velocity-pressure finite element pair, while a generic discrete space approximates vorticity. The DG scheme employs a stabilization technique. We use two different approaches for the control approximation: a variational discretization and approximation through piecewise constant elements. We establish optimal a priori error estimates and residual-based a posteriori error estimates for both the proposed schemes. Finally, we provide numerical experiments to validate the theoretical estimates and showcase the performance and effectiveness of proposed schemes.</div></div>","PeriodicalId":55218,"journal":{"name":"Computers & Mathematics with Applications","volume":"198 ","pages":"Pages 59-92"},"PeriodicalIF":2.5,"publicationDate":"2025-08-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144841688","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 mortar method integration using radial basis functions 一种基于径向基函数的砂浆方法集成

IF 2.5 2区数学

Computers & Mathematics with Applications Pub Date : 2025-08-13 DOI: 10.1016/j.camwa.2025.08.008

Daniele Moretto, Andrea Franceschini, Massimiliano Ferronato

{"title":"A novel mortar method integration using radial basis functions","authors":"Daniele Moretto, Andrea Franceschini, Massimiliano Ferronato","doi":"10.1016/j.camwa.2025.08.008","DOIUrl":"10.1016/j.camwa.2025.08.008","url":null,"abstract":"<div><div>The growing availability of computational resources has significantly increased the interest of the scientific community in performing complex multi-physics and multi-domain simulations. However, the generation of appropriate computational grids for such problems often remains one of the main bottlenecks. The use of a domain partitioning with non-conforming grids is a possible solution, which, however, requires the development of robust and efficient inter-grid interpolation operators to transfer a scalar or a vector field from one domain to another. This work presents a novel approach for interpolating quantities across non-conforming meshes within the framework of the classical mortar method, where weak continuity conditions are enforced. The key contribution is the introduction of a novel strategy that uses mesh-free Radial Basis Function (RBF) interpolations to compute the mortar integral, offering a compelling alternative to traditional projection-based methods. We propose an efficient algorithm tailored for complex three-dimensional settings allowing for potentially significant savings in the overall computational cost and ease of implementation, with no detrimental effects on the numerical accuracy. The formulation, analysis, and validation of the proposed RBF-based algorithm is discussed with the aid of a set of numerical examples, demonstrating its effectiveness. Furthermore, the details of the implementation are discussed and a test case involving a complex geometry is presented, in order to illustrate the applicability and advantages of our approach in real-world problems.</div></div>","PeriodicalId":55218,"journal":{"name":"Computers & Mathematics with Applications","volume":"198 ","pages":"Pages 38-58"},"PeriodicalIF":2.5,"publicationDate":"2025-08-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144830144","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 comprehensive numerical approach for solving heterogeneous electrochemical-thermal model of lithium-ion battery 求解锂离子电池非均相电化学-热模型的综合数值方法

IF 2.5 2区数学

Computers & Mathematics with Applications Pub Date : 2025-08-13 DOI: 10.1016/j.camwa.2025.08.009

Qiyu Chen , Lance Zhao , Susan Chen , Ke Ge , Zhe Lyu , Zhe Li

{"title":"A comprehensive numerical approach for solving heterogeneous electrochemical-thermal model of lithium-ion battery","authors":"Qiyu Chen , Lance Zhao , Susan Chen , Ke Ge , Zhe Lyu , Zhe Li","doi":"10.1016/j.camwa.2025.08.009","DOIUrl":"10.1016/j.camwa.2025.08.009","url":null,"abstract":"<div><div>Numerical simulation of lithium-ion battery heterogeneous model faces significant challenges due to multiscale geometric complexity and strongly coupled multiphysics behavior. This study develops a numerical computational framework based on open-source platform OpenFOAM. To address the complex structure of the heterogeneous model, the framework employs local homogenization for cross-scale spatial discretization and domain decomposition with customized governing equations and boundary conditions. Furthermore, to handle the multiphysics coupling and strong nonlinearity of the equations, a segregated nested iterative algorithm is implemented. This approach incorporates outer-loop current density optimization with inner-loop potential equation relaxation to effectively resolve matrix stiffness and convergence difficulties. The accuracy of this framework is rigorously validated through dual verification against experimental data and COMSOL simulations. Results show excellent agreement, with terminal voltage predictions maintaining under 2% average relative difference across three C-rates. Featuring parallel architecture, it achieves less than 0.5 h simulation time for typical battery systems with remarkable 50<span><math><mo>×</mo></math></span> speedup at 64-core parallelization. Extensive numerical tests across various material systems under diverse conditions demonstrate exceptional robustness. This study establishes a foundational framework for developing electrochemical numerical simulation tools specifically for battery applications, facilitating the design of next-generation ultra-high-performance batteries.</div></div>","PeriodicalId":55218,"journal":{"name":"Computers & Mathematics with Applications","volume":"197 ","pages":"Pages 88-111"},"PeriodicalIF":2.5,"publicationDate":"2025-08-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144827879","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 fully explicit SPH method for modeling 2-D incompressible two-phase fluid-structure interaction with modified periodic and open boundary conditions 具有修正周期和开放边界条件的二维不可压缩两相流固相互作用的完全显式SPH方法

IF 2.5 2区数学

Computers & Mathematics with Applications Pub Date : 2025-08-12 DOI: 10.1016/j.camwa.2025.07.038

Mehran Vakilha

{"title":"A fully explicit SPH method for modeling 2-D incompressible two-phase fluid-structure interaction with modified periodic and open boundary conditions","authors":"Mehran Vakilha","doi":"10.1016/j.camwa.2025.07.038","DOIUrl":"10.1016/j.camwa.2025.07.038","url":null,"abstract":"<div><div>This study introduces a novel and effective method for simulating two-phase fluid-structure interactions (FSI) using the Explicit Incompressible Smoothed Particle Hydrodynamics (EISPH) approach. At the heart of our method is an explicit SPH framework specifically designed for two-phase rigid-body FSI, which significantly enhances computational accuracy and efficiency. A standout feature is the introduction of ghost particles, which facilitate periodic and open boundary conditions, ensuring stability and simplicity in complex fluid environments. Additionally, we employ a modified continuum surface tension model (M-CSF) to improve the smoothness and balance of force distribution at fluid interfaces. In a groundbreaking aspect of our work, we introduce and solve a new benchmark involving two-phase flow past a square obstacle for the first time. Alongside this benchmark, we validate our method against established cases such as single-phase and two-phase Poiseuille flow and Kelvin-Helmholtz instability. Through these validations, the EISPH-VKF method demonstrates its robustness and capability to accurately capture the intricate physics involved in both single- and two-phase FSI problems.</div></div>","PeriodicalId":55218,"journal":{"name":"Computers & Mathematics with Applications","volume":"197 ","pages":"Pages 43-70"},"PeriodicalIF":2.5,"publicationDate":"2025-08-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144826940","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

Convergence analysis of a fast virtual element method for coupled Darcy flows in fractured porous media on general polygonal meshes 一般多边形网格上裂隙多孔介质中耦合达西流动的快速虚元法收敛性分析

IF 2.5 2区数学

Computers & Mathematics with Applications Pub Date : 2025-08-12 DOI: 10.1016/j.camwa.2025.08.002

Peixuan Wu, Yang Wang

{"title":"Convergence analysis of a fast virtual element method for coupled Darcy flows in fractured porous media on general polygonal meshes","authors":"Peixuan Wu, Yang Wang","doi":"10.1016/j.camwa.2025.08.002","DOIUrl":"10.1016/j.camwa.2025.08.002","url":null,"abstract":"<div><div>In this article, we propose a novel two-grid discretization for the approximation of coupled Darcy flows in fractured porous media on general polygonal meshes. The Finite Element Method (FEM) is used to discreting the reduced fracture equation, and the Virtual Element Method (VEM) is applied to the matrix equation. The core of our fast VEM lies in the utilization of two meshes with distinct grid sizes. On the coarse grid, we solve the original coupled problem, and subsequently, we employ the coarse grid solution to decouple the equations on the finer grid. Optimal error estimates in <span><math><msup><mrow><mi>L</mi></mrow><mrow><mn>2</mn></mrow></msup></math></span> and semi-<span><math><msup><mrow><mi>H</mi></mrow><mrow><mn>1</mn></mrow></msup></math></span> norm for the VEM solution and semi-<span><math><msup><mrow><mi>H</mi></mrow><mrow><mn>1</mn></mrow></msup></math></span> norm for the fast VEM solution are rigorously provided, respectively, which shows our algorithm is capable of achieving asymptotically optimal estimation while significantly minimizing computational expenses.</div></div>","PeriodicalId":55218,"journal":{"name":"Computers & Mathematics with Applications","volume":"198 ","pages":"Pages 1-23"},"PeriodicalIF":2.5,"publicationDate":"2025-08-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144813883","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 Schwarz preconditioner for the smoothed lowest-order virtual element method 光滑最低阶虚元法的Schwarz预条件

IF 2.5 2区数学

Computers & Mathematics with Applications Pub Date : 2025-08-12 DOI: 10.1016/j.camwa.2025.08.006

Luis F. Amey , Juan G. Calvo , Josué Padilla-Torres

引用次数: 0