International Journal for Numerical Methods in Engineering最新文献

筛选
英文 中文
An Efficient Arbitrary Grid Material Point Method for Problems With Nonconforming Boundary Conditions 求解非协调边界条件问题的一种高效任意网格质点法
IF 2.7 3区 工程技术
International Journal for Numerical Methods in Engineering Pub Date : 2025-06-08 DOI: 10.1002/nme.70054
Hongyu Ma, Jiasheng Li, Zixian Sun, Xiong Zhang
{"title":"An Efficient Arbitrary Grid Material Point Method for Problems With Nonconforming Boundary Conditions","authors":"Hongyu Ma,&nbsp;Jiasheng Li,&nbsp;Zixian Sun,&nbsp;Xiong Zhang","doi":"10.1002/nme.70054","DOIUrl":"https://doi.org/10.1002/nme.70054","url":null,"abstract":"<div>\u0000 \u0000 <p>In the standard material point method (MPM), a Cartesian background grid is typically used to solve equations of motion. This can make imposing boundary conditions a challenging task when the boundary of the material domain does not align with the grid edge, as these nonconforming boundary conditions are difficult to apply directly to the nodes of the Cartesian grid. In this paper, we propose the Arbitrary Grid Material Point Method (AGMPM) to efficiently solve problems involving a nonconforming boundary conditions by converting them into conforming boundary conditions. In the AGMPM, boundaries with arbitrary geometries are constructed by using arbitrary convex polygonal grid cells. The Wachspress coordinates are introduced as the shape functions for these grid cells. To impose boundary conditions on the arbitrary grid, two specific types of boundary conditions are proposed as examples: roller boundary conditions, which are two-sided constraints, and rigid-wall-boundary conditions, which are single-sided constraints. These boundary conditions are extensions of those used in the standard MPM. To improve computational efficiency during the particle-to-mesh mapping, an efficient search algorithm based on the bucket search method is presented. Several numerical examples are studied to verify the proposed AGMPM, demonstrate its potential and flexibility in solving engineering problems, and showcase its improved accuracy compared to the standard MPM when dealing with nonconforming boundary conditions.</p>\u0000 </div>","PeriodicalId":13699,"journal":{"name":"International Journal for Numerical Methods in Engineering","volume":"126 11","pages":""},"PeriodicalIF":2.7,"publicationDate":"2025-06-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144244090","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","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 TLSPH Approach for Modeling Damage in Elastic Solids 弹性固体损伤建模的TLSPH新方法
IF 2.7 3区 工程技术
International Journal for Numerical Methods in Engineering Pub Date : 2025-06-08 DOI: 10.1002/nme.70057
Goktug Kilic, Deniz Can Kolukisa, Mehmet Yildiz
{"title":"A Novel TLSPH Approach for Modeling Damage in Elastic Solids","authors":"Goktug Kilic,&nbsp;Deniz Can Kolukisa,&nbsp;Mehmet Yildiz","doi":"10.1002/nme.70057","DOIUrl":"https://doi.org/10.1002/nme.70057","url":null,"abstract":"<div>\u0000 \u0000 <p>Crack initiation and propagation present significant challenges in solid mechanics, necessitating reliable and efficient computational methods for accurate simulations. Traditional mesh-based approaches face limitations such as computational inefficiency and mesh dependence. Meshless methods, particularly smoothed particle hydrodynamics (SPH), offer an alternative by eliminating mesh-related issues and simplifying the simulation of discontinuities. SPH, originally developed for astrophysical applications, has been successfully adapted for fluid and solid mechanics, including fracture mechanics. This article introduces a total Lagrangian smoothed particle hydrodynamics (TLSPH) model for crack modeling, addressing the limitations of existing SPH and other methods. In proposed method, interactions between particle pairs are characterized by “stretch” and an interaction is eliminated when the stretch exceeds a threshold value. The mitigation of damage-induced instabilities is performed via enhancing the numerical diffusion and applying velocity filtering in damaged area. The capability of in-house TLSPH code is first demonstrated through simulations of 2D and 3D undamaged cantilever beams under large deformations. The accuracy of the novel damage model is validated by modeling Kalthoff-Winkler experiment in 2D and 3D and dynamic crack branching case in 2D. The results highlight the effectiveness and computational efficiency of the proposed TLSPH damage model.</p>\u0000 </div>","PeriodicalId":13699,"journal":{"name":"International Journal for Numerical Methods in Engineering","volume":"126 11","pages":""},"PeriodicalIF":2.7,"publicationDate":"2025-06-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144244089","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Subcycling Strategy for Finite-Volume Updated-Lagrangian Methods Applied to Fluid–Structure Interaction 流固耦合有限体积更新拉格朗日方法的子循环策略
IF 2.7 3区 工程技术
International Journal for Numerical Methods in Engineering Pub Date : 2025-06-05 DOI: 10.1002/nme.70051
Teddy Chantrait, Nicolas Chevaugeon, Stéphane Del Pino, Alexandre Gangloff, Emmanuel Labourasse
{"title":"Subcycling Strategy for Finite-Volume Updated-Lagrangian Methods Applied to Fluid–Structure Interaction","authors":"Teddy Chantrait,&nbsp;Nicolas Chevaugeon,&nbsp;Stéphane Del Pino,&nbsp;Alexandre Gangloff,&nbsp;Emmanuel Labourasse","doi":"10.1002/nme.70051","DOIUrl":"https://doi.org/10.1002/nme.70051","url":null,"abstract":"<p>In this article, we propose and investigate an explicit partitioned method for solving shock dynamics in fluid–structure interaction (FSI) problems. The method is fully conservative, ensuring the local conservation of mass, momentum, and energy, which is crucial for accurately capturing strong shock interactions. Using an updated-Lagrangian finite-volume approach, the method integrates a subcycling strategy to decouple time steps between the fluid and structure, significantly enhancing computational efficiency. Numerical experiments confirm the accuracy and stability of the method, demonstrating that it retains the key properties of monolithic solvers while reducing computational costs. Extensive validation across 1D and 3D FSI problems shows the method's capability for large-scale, fast transient simulations, making it a promising solution for high-performance applications.</p>","PeriodicalId":13699,"journal":{"name":"International Journal for Numerical Methods in Engineering","volume":"126 11","pages":""},"PeriodicalIF":2.7,"publicationDate":"2025-06-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1002/nme.70051","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144219895","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A TPAA-SBFE Based Partitioning Algorithm for Structural Viscoelastic Dynamic Analysis With Cyclic Symmetry 基于TPAA-SBFE的循环对称结构粘弹性动力分析分区算法
IF 2.7 3区 工程技术
International Journal for Numerical Methods in Engineering Pub Date : 2025-05-30 DOI: 10.1002/nme.70053
Yang Yu, Chongshuai Wang, Ean Tat Ooi, Sundararajan Natarajan, Haitian Yang
{"title":"A TPAA-SBFE Based Partitioning Algorithm for Structural Viscoelastic Dynamic Analysis With Cyclic Symmetry","authors":"Yang Yu,&nbsp;Chongshuai Wang,&nbsp;Ean Tat Ooi,&nbsp;Sundararajan Natarajan,&nbsp;Haitian Yang","doi":"10.1002/nme.70053","DOIUrl":"https://doi.org/10.1002/nme.70053","url":null,"abstract":"<div>\u0000 \u0000 <p>An innovative and efficient reduced order algorithm is proposed for the dynamic analysis of 2-D and 3-D viscoelastic structures featuring cyclic symmetry, which is applicable to complete cyclically symmetric structures with or without common nodes, as well as incomplete cyclically symmetric structures. The proposed algorithm is developed on a recursive platform based on TPAA-SBFEM and inherits all the advantages of TPAA-SBFEM. For complete cyclically symmetric structures with or without common nodes, the global stiffness and mass matrices are proved to be block-circulant and can be generated via a cyclically symmetric part instead of the whole domain. And then a recursive partitioning algorithm is rendered, such that the solution scale and computational cost can be efficiently reduced via solving a series of independent problems with small scales. For incomplete cyclically symmetric structures, the complete cyclic symmetry and Woodbury formula are utilized to reduce computational expense. Four numerical examples are provided to elucidate the effectiveness and efficiency of the proposed approach with satisfactory results.</p>\u0000 </div>","PeriodicalId":13699,"journal":{"name":"International Journal for Numerical Methods in Engineering","volume":"126 11","pages":""},"PeriodicalIF":2.7,"publicationDate":"2025-05-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144171785","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Topology Optimization of Arc Unit Cells by Extending Energy-Based Homogenization and Parametric Level Set Methods 基于扩展能量均匀化和参数水平集方法的圆弧单元胞拓扑优化
IF 2.7 3区 工程技术
International Journal for Numerical Methods in Engineering Pub Date : 2025-05-30 DOI: 10.1002/nme.70044
Gang Chen, Xiangyu Chen, Qiwen Zeng, Hang Yang
{"title":"Topology Optimization of Arc Unit Cells by Extending Energy-Based Homogenization and Parametric Level Set Methods","authors":"Gang Chen,&nbsp;Xiangyu Chen,&nbsp;Qiwen Zeng,&nbsp;Hang Yang","doi":"10.1002/nme.70044","DOIUrl":"https://doi.org/10.1002/nme.70044","url":null,"abstract":"<div>\u0000 \u0000 <p>This paper extends the energy-based homogenization method (EBHM) to evaluate the effective elastic properties of two-dimensional arc unit cells, where the periodic boundary conditions are constructed based on the polar strain–displacement relationships, and the displacement field is solved by the polar finite element method. Combining the extended EBHM with the parametric level set method (PLSM) and the augmented Lagrangian multiplier method (ALM), it is able to design the topological configurations of arc unit cells for seeking superior effective elastic properties. In addition, the level set function is first filtered by compactly supported radial basis functions (CSRBFs) in order to eliminate small holes in the configuration. Numerical examples are performed to demonstrate the advantages of the proposed method. The periodic boundary condition performs well when the circumferential angle of the arc unit cell is in the range of [0.0002, 0.2]. Results indicate that the effective elastic properties of optimized arc unit cells override those of geometrically transformed optimal square unit cells. This superiority mainly benefits from the fact that unisymmetrical configurations are allowed in arc unit cells but not in square unit cells. Results also imply that the capability of nucleation of new holes is retained even though small holes are eliminated by filtering. It contributes to the trade-off between performance and manufacturability.</p>\u0000 </div>","PeriodicalId":13699,"journal":{"name":"International Journal for Numerical Methods in Engineering","volume":"126 11","pages":""},"PeriodicalIF":2.7,"publicationDate":"2025-05-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144171784","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Corotational Unsymmetric Membrane Element Formulation for Geometric Nonlinear Analysis of Flexoelectric Solids Within the Consistent Couple Stress Theory 在一致耦合应力理论下挠性电固体几何非线性分析的旋转非对称膜单元公式
IF 2.7 3区 工程技术
International Journal for Numerical Methods in Engineering Pub Date : 2025-05-29 DOI: 10.1002/nme.70045
Zhuo Deng, Shi-Xuan Liu, Song Cen, Ming Sun, Yan Shang
{"title":"Corotational Unsymmetric Membrane Element Formulation for Geometric Nonlinear Analysis of Flexoelectric Solids Within the Consistent Couple Stress Theory","authors":"Zhuo Deng,&nbsp;Shi-Xuan Liu,&nbsp;Song Cen,&nbsp;Ming Sun,&nbsp;Yan Shang","doi":"10.1002/nme.70045","DOIUrl":"https://doi.org/10.1002/nme.70045","url":null,"abstract":"<div>\u0000 \u0000 <p>In this work, the corotational (CR) penalty membrane element formulation for geometric nonlinear analysis of flexoelectric solids with large displacement but small deformation is proposed. To achieve this, the two-dimensional couple stress-based flexoelectric model is first extended to the CR form where the effect of rigid body rotation is excluded and, accordingly, the curvature that governs the electromechanical behavior of flexoelectricity is defined as the derivatives of the elastic rotation in the CR configuration. Next, a quadrilateral 8-node element is constructed based on the CR method. In the development, with the use of the penalty function method, the independent nodal rotation degrees of freedom are utilized to approximate the elastic rotation field, ensuring the higher-order continuity requirement for the displacement test function in a weak sense. In addition, to fully improve the element performance, the trial function of CR force-stress is formulated based on the polynomial force-stress functions, which are continually updated with reference to the latest deformed configuration. As demonstrated by the numerical benchmark examples, the new element can efficiently and accurately predict the geometric nonlinear electromechanical response of slender flexoelectric structures and capture the size effect very well.</p>\u0000 </div>","PeriodicalId":13699,"journal":{"name":"International Journal for Numerical Methods in Engineering","volume":"126 11","pages":""},"PeriodicalIF":2.7,"publicationDate":"2025-05-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144171591","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Multimodal Hybrid Aero-Engine Mechanical Wear Fault Diagnosis Algorithm Based on Two-Channel Data Input Types 基于双通道数据输入类型的多模态混合航空发动机机械磨损故障诊断算法
IF 2.7 3区 工程技术
International Journal for Numerical Methods in Engineering Pub Date : 2025-05-24 DOI: 10.1002/nme.70046
Qifan Zhou, Yingqing Guo, Guicai Li, Kejie Xu, Kun Wang
{"title":"Multimodal Hybrid Aero-Engine Mechanical Wear Fault Diagnosis Algorithm Based on Two-Channel Data Input Types","authors":"Qifan Zhou,&nbsp;Yingqing Guo,&nbsp;Guicai Li,&nbsp;Kejie Xu,&nbsp;Kun Wang","doi":"10.1002/nme.70046","DOIUrl":"https://doi.org/10.1002/nme.70046","url":null,"abstract":"<div>\u0000 \u0000 <p>Aero-engines are complex and sophisticated systems combining mechanical, thermal, and fluidic domains. Abnormal wear of mechanical components is becoming more prevalent due to severe changes in flight conditions and the external environment, which may lead to drastic performance degradation and accidents. Therefore, the diagnosis of such wear and tear faults is urgent, and based on this need, more researchers and scholars are focusing their attention on it. To address the current shortcomings of fault diagnosis algorithms that only rely on one-dimensional datasets or two-dimensional image analysis and the low accuracy of final fault identification, an innovative hybrid algorithm is proposed in this study. The algorithm integrates one-dimensional time series data and two-dimensional image data, converts the one-dimensional dataset into a two-dimensional image dataset through the Gramian Angle Field technique, and subsequently uses a dual-channel GRU-CNN (Convolutional Neural Network-Gated Recurrent Unit) algorithm model designed for fault diagnosis, which can simultaneously analyze and map the features and fault modes of the one-dimensional dataset and the two-dimensional image. In order to extract features with richer semantic information and stronger discriminative ability, a multimodal fusion technique is employed, which successfully addresses the limitations of the wear-and-tear feature distributions of the two datasets using the cross-extraction fusion method and combines the advantages of both in terms of trend distributions of the time series and edge feature distributions of the image sequences, respectively. The best fault diagnosis results were achieved by using the strong mapping relationship between the saliency feature expression and the fault modes. The final analysis shows that the recognition rate of typical mechanical wear of aero-engines exceeds 97%, thus achieving the desired goal.</p>\u0000 </div>","PeriodicalId":13699,"journal":{"name":"International Journal for Numerical Methods in Engineering","volume":"126 10","pages":""},"PeriodicalIF":2.7,"publicationDate":"2025-05-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144126027","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Shape Optimization of Supercapacitor Electrode to Maximize Charge Storage 超级电容器电极形状优化以实现最大电荷存储
IF 2.7 3区 工程技术
International Journal for Numerical Methods in Engineering Pub Date : 2025-05-23 DOI: 10.1002/nme.70052
Jiajie Li, Shenggao Zhou, Shengfeng Zhu
{"title":"Shape Optimization of Supercapacitor Electrode to Maximize Charge Storage","authors":"Jiajie Li,&nbsp;Shenggao Zhou,&nbsp;Shengfeng Zhu","doi":"10.1002/nme.70052","DOIUrl":"https://doi.org/10.1002/nme.70052","url":null,"abstract":"<div>\u0000 \u0000 <p>This work proposes a shape optimization approach for electrode morphology to maximize charge storage in supercapacitors. The ionic distributions and electric potential are modeled by the steady-state Poisson–Nernst–Planck system. Shape sensitivity analysis is performed to derive the Eulerian derivative in both volumetric and boundary expressions. An optimal electrode morphology is obtained through gradient flow algorithms. The steady-state Poisson–Nernst–Planck system is efficiently solved by the Gummel fixed-point scheme with finite-element discretization, in which exponential coefficients with large variation are tackled with inverse averaging techniques. Extensive numerical experiments are performed to demonstrate the effectiveness of the proposed optimization model and corresponding numerical methods in enhancing charge storage in supercapacitors. It is expected that the proposed shape optimization approach provides a promising tool in the design of electrode morphology from a perspective of charge storage enhancement.</p>\u0000 </div>","PeriodicalId":13699,"journal":{"name":"International Journal for Numerical Methods in Engineering","volume":"126 10","pages":""},"PeriodicalIF":2.7,"publicationDate":"2025-05-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144117960","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A Hybrid Pressure Formulation of the Face-Centred Finite Volume Method for Viscous Laminar Incompressible Flows 粘性层流不可压缩流面心有限体积法的混合压力公式
IF 2.7 3区 工程技术
International Journal for Numerical Methods in Engineering Pub Date : 2025-05-21 DOI: 10.1002/nme.70037
Matteo Giacomini, Davide Cortellessa, Luan M. Vieira, Ruben Sevilla, Antonio Huerta
{"title":"A Hybrid Pressure Formulation of the Face-Centred Finite Volume Method for Viscous Laminar Incompressible Flows","authors":"Matteo Giacomini,&nbsp;Davide Cortellessa,&nbsp;Luan M. Vieira,&nbsp;Ruben Sevilla,&nbsp;Antonio Huerta","doi":"10.1002/nme.70037","DOIUrl":"https://doi.org/10.1002/nme.70037","url":null,"abstract":"<p>This work presents a hybrid pressure face-centred finite volume (FCFV) solver to simulate steady-state incompressible Navier-Stokes flows. The method leverages the robustness, in the incompressible limit, of the hybridisable discontinuous Galerkin paradigm for compressible and weakly compressible flows to derive the formulation of a novel, low-order face-based discretization. The incompressibility constraint is enforced in a weak sense by introducing an inter-cell mass flux, defined in terms of a new, hybrid variable that represents the pressure at the cell faces. This results in a new hybridization strategy where cell variables (velocity, pressure, and deviatoric strain rate tensor) are expressed as a function of velocity and pressure at the barycentre of the cell faces. The hybrid pressure formulation provides first-order convergence of all variables, including the stress, without the need for gradient reconstruction, thus being less sensitive to cell type, stretching, distortion, and skewness than traditional low-order finite volume solvers. Numerical benchmarks of Navier-Stokes flows at low and moderate Reynolds numbers, in two and three dimensions, are presented to evaluate the accuracy and robustness of the method. In particular, the hybrid pressure formulation outperforms the FCFV method when convective effects are relevant, achieving accurate predictions on significantly coarser meshes.</p>","PeriodicalId":13699,"journal":{"name":"International Journal for Numerical Methods in Engineering","volume":"126 10","pages":""},"PeriodicalIF":2.7,"publicationDate":"2025-05-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1002/nme.70037","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144100881","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Thermodynamically Consistent Modeling of Compressible Two-Phase Flow in Porous Media 多孔介质中可压缩两相流的热力学一致性建模
IF 2.7 3区 工程技术
International Journal for Numerical Methods in Engineering Pub Date : 2025-05-20 DOI: 10.1002/nme.70050
Junkai Wang, Xiaolin Zhou, Qiaolin He
{"title":"Thermodynamically Consistent Modeling of Compressible Two-Phase Flow in Porous Media","authors":"Junkai Wang,&nbsp;Xiaolin Zhou,&nbsp;Qiaolin He","doi":"10.1002/nme.70050","DOIUrl":"https://doi.org/10.1002/nme.70050","url":null,"abstract":"<div>\u0000 \u0000 <p>In this paper, we develop a thermodynamically consistent model for compressible two-phase flow in porous media according to the Reynolds transport theorem and the second law of thermodynamics. The Helmholtz free energy and saturation free energy are introduced to characterize fluid compressibility and capillary pressure effects, respectively. Especially, we use molar density instead of pressure as one of the primary variables and derive a Darcy-type momentum equation with chemical potential gradient as the main driving force. Furthermore, the discrete total free energy dissipation and prior error estimates of the proposed numerical scheme are derived. Numerical results are presented to validate the accuracy, stability, and effectiveness of our proposed method.</p>\u0000 </div>","PeriodicalId":13699,"journal":{"name":"International Journal for Numerical Methods in Engineering","volume":"126 10","pages":""},"PeriodicalIF":2.7,"publicationDate":"2025-05-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144091844","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
相关产品
×
本文献相关产品
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:604180095
Book学术官方微信