Maedeh Nemati , Mostafa Abbaszadeh , Mahmoud A. Zaky , Mehdi Dehghan
{"title":"A generalized finite difference approach and splitting technique for the Kuramoto–Tsuzuki equation in multi-dimensional applications","authors":"Maedeh Nemati , Mostafa Abbaszadeh , Mahmoud A. Zaky , Mehdi Dehghan","doi":"10.1016/j.enganabound.2025.106267","DOIUrl":"10.1016/j.enganabound.2025.106267","url":null,"abstract":"<div><div>This study investigates the numerical solution of the Kuramoto–Tsuzuki equation in one, two and three dimensions. To effectively handle the equation’s nonlinear component, we employ a splitting technique, while the linear component is addressed using the Crank–Nicolson method for temporal discretization. Spatial discretization is achieved through the generalized finite difference method with a convergence order of <span><math><mrow><mi>O</mi><mrow><mo>(</mo><msup><mrow><mi>h</mi></mrow><mrow><mn>2</mn></mrow></msup><mo>)</mo></mrow></mrow></math></span>. We analyze the stability and convergence properties of the proposed schemes and provide numerical results to validate the theoretical findings. Additionally, examples in one, two and three dimensions, including irregular regions for the 2D equation, are presented to demonstrate the applicability of the methods.</div></div>","PeriodicalId":51039,"journal":{"name":"Engineering Analysis with Boundary Elements","volume":"177 ","pages":"Article 106267"},"PeriodicalIF":4.2,"publicationDate":"2025-04-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143886385","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":"Elastodynamic analysis of aligned particulate composites with the inclusion-based boundary element method (iBEM)","authors":"Chunlin Wu , Linfei Zhang , Jinming Zhang , Huiming Yin","doi":"10.1016/j.enganabound.2025.106265","DOIUrl":"10.1016/j.enganabound.2025.106265","url":null,"abstract":"<div><div>This paper extends the inclusion-based boundary element method (iBEM) to conduct elastodynamic analysis of chain-structured composites with aligned spherical inhomogeneities and predict the effective material properties depending on the frequency and specimen-particle size ratio (SPR). The iBEM algorithm utilizes boundary integral equations to handle the boundary conditions of the specimen. Using Eshelby’s equivalent inclusion method (EIM), the inhomogeneities are simulated as the matrix by introducing continuously distributed eigen-fields, where eigenstrain and eigen-body-force are introduced to simulate stiffness and density mismatches, respectively. The polynomial-form eigen-fields are evaluated through closed-form domain integrals of the fundamental solution. The local solutions are verified by the finite element analysis, and the overall material behavior is determined by eigen-fields. The results of virtual experiments with three SPRs show that conventional micromechanical models cannot accurately predict the elastodynamical behavior of the composites due to the boundary effects and actual microstructure. In addition, numerical case studies of a representative composite sample at different excitation frequencies show that the elastodynamic energy is significantly different even when the same loading magnitude is applied. Therefore, it is necessary to conduct the cross-scale modeling with the actual microstructure, and the iBEM provides high fidelity results.</div></div>","PeriodicalId":51039,"journal":{"name":"Engineering Analysis with Boundary Elements","volume":"177 ","pages":"Article 106265"},"PeriodicalIF":4.2,"publicationDate":"2025-04-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143886386","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 scattering matrix method for analyzing acoustic plane-wave scattering by rigid objects in semi-infinite media","authors":"Jincheng Qin , Kei Matsushima","doi":"10.1016/j.enganabound.2025.106260","DOIUrl":"10.1016/j.enganabound.2025.106260","url":null,"abstract":"<div><div>Various applications are related to the plane-wave scattering by an obstacle near the interface between two different kinds of isotropic and homogeneous media. The analysis of such a problem asks for an efficient numerical method. To this end, this study proposes a scattering matrix method for evaluating scattering fields by acoustically rigid scatterers with arbitrary shapes. The basic idea is to incorporate the scattering matrix method into the spectral analysis. In such a way we can discuss the interaction between the reflection and diffraction of waves based on the Fourier transform and the convolution theorem. Representing the interacted behaviors of waves with a scattering matrix frees us from the resource-demanding evaluations of Green’s function for solving such a problem. Instead of specifying a constant reflection coefficient, the proposed method enables characterizing the reflecting wall with the impedance boundary condition, which more accurately simulates the reflection effects of various materials. After numerically validating the proposed method with a generalized method of image. We exemplify our methods through the evaluations of acoustic waves in a half-space as well as in a waveguide.</div></div>","PeriodicalId":51039,"journal":{"name":"Engineering Analysis with Boundary Elements","volume":"177 ","pages":"Article 106260"},"PeriodicalIF":4.2,"publicationDate":"2025-04-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143886389","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":"FloodCNN-BiLSTM: Predicting flood events in urban environments","authors":"Vinay Dubey, Rahul Katarya","doi":"10.1016/j.enganabound.2025.106277","DOIUrl":"10.1016/j.enganabound.2025.106277","url":null,"abstract":"<div><div>A disaster is a severe event that occurs on a short period but has highly damaging and long-lasting effects on society. Disasters can be broadly categorized into natural and man-made events. Among natural disasters, floods are some of the most common disaster. As climate change accelerates, floods are expected to become more frequent and severe, highlighting the need for a deeper understanding of their causes, effects, and response strategies. Modern technologies, including machine learning, are increasingly being used to predict the occurrence of floods. Accurate forecasting requires large volumes of data collected from sensors deployed in various locations. Machine Learning (ML) models are well-suited for flood prediction due to their ability to handle sequential data and long-term dependencies. In this paper we present a hybrid deep learning model that combines Convolutional Neural Networks (CNN) and Bidirectional Long Short-Term Memory (BiLSTM) networks. The CNN component is responsible for extracting spatial features, while the BiLSTM processes the sequential data to classify the likelihood of flood events based on environmental parameters. The proposed FloodCNN-BiLSTM model has been validated on multiple datasets, achieving superior performance compared to traditional machine learning approaches. It attained 97.3 % accuracy on Dataset 1 and 98.6 % on Dataset 2. Evaluation metrics such as accuracy, precision, recall, and F1-score confirm the robustness and effectiveness of the model. Comparative analysis with other models used in this research demonstrates the superiority of our proposed approach.</div></div>","PeriodicalId":51039,"journal":{"name":"Engineering Analysis with Boundary Elements","volume":"177 ","pages":"Article 106277"},"PeriodicalIF":4.2,"publicationDate":"2025-04-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143881856","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}
Lanceni Keita , Lahcen Azrar , Ateq Ahmed Al-Ghamedi
{"title":"A local meshfree approach based on compactly supported radial basis functions for 2D coupled fluid dynamics PDEs on regular and irregular domains","authors":"Lanceni Keita , Lahcen Azrar , Ateq Ahmed Al-Ghamedi","doi":"10.1016/j.enganabound.2025.106246","DOIUrl":"10.1016/j.enganabound.2025.106246","url":null,"abstract":"<div><div>This paper presents a novel application of compactly supported radial basis functions (CSRBFs) within a local meshfree framework to solve two-dimensional coupled partial differential equations, including the Burgers’ equation (2D-CVBE) and the Saint Venant system (2D-SVS), also known as the shallow water equations. By integrating CSRBFs with the method of lines (CSRBF-MOL), this approach provides a flexible and adaptive meshfree discretization technique. It reformulates the 2D-CVBE and 2D-SVS into systems of ordinary differential equations, which are then solved numerically. The proposed method has capability to handle both rectangular and irregular domains without requiring structured grids. Its compatibility to deal with Neumann boundary conditions in makes it particularly effective for complex geometries. This framework offers a robust alternative for fluid dynamics simulations, addressing the limitations of traditional mesh-based methods in terms of flexibility and computational efficiency. The method’s accuracy and reliability are demonstrated through six numerical experiments, with results compared to global RBF approaches and conventional mesh-based techniques from the current literature.</div></div>","PeriodicalId":51039,"journal":{"name":"Engineering Analysis with Boundary Elements","volume":"177 ","pages":"Article 106246"},"PeriodicalIF":4.2,"publicationDate":"2025-04-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143874383","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}
Naiwen Chang , Shuqin Jia , Tingting Liu , Jiaxu Li , Tianzi Bai , Meng You , Xi Chen , Ying Huai
{"title":"High-resolution multiphysics predictions and multifields reconstruction for chemical lasers enabled by operator neural networks","authors":"Naiwen Chang , Shuqin Jia , Tingting Liu , Jiaxu Li , Tianzi Bai , Meng You , Xi Chen , Ying Huai","doi":"10.1016/j.enganabound.2025.106273","DOIUrl":"10.1016/j.enganabound.2025.106273","url":null,"abstract":"<div><div>Numerical simulation is an important approach for chemical laser investigation. However, it is time-consuming and prone to numerical divergence because of the system's complexity and strong nonlinearity. This paper develops a deep learning encoding underlying physics method for modeling chemical oxygen-iodine lasers (COIL). Two classes of DeepONets are proposed to capture the nonlinear relationships between flow and optical fields. The DeepONet’s capability of generalization outside the function space of the dataset is obtained, despite being trained by a noisy dataset. The high-frequency oscillations in the laser data increase the DeepONet prediction errors on optical quantities. Two solutions, subdomain division with sampling refinement and filtering high-frequency component of the laser by Fourier transform, are proposed to address this issue and achieve a nearly 50 % error reduction. The pre-trained DeepONet modules, functioning as building blocks, are utilized to construct parallel and serial DeepM&Mnets through which only 10 discrete data points among 22,877 are used to reconstruct all physical fields for COIL with errors below 10 %. The serial DeepM&Mnet method leverages limited laser measurement data to reconstruct flow field and component distributions, marking a significant step forward in solving the inverse problem in chemical laser systems.</div></div>","PeriodicalId":51039,"journal":{"name":"Engineering Analysis with Boundary Elements","volume":"177 ","pages":"Article 106273"},"PeriodicalIF":4.2,"publicationDate":"2025-04-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143877405","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":"Indentation of axisymmetric rigid punch: Model implementation by a Python Algorithm","authors":"Krupal Patel , Etienne Barthel , Matteo Ciccotti","doi":"10.1016/j.enganabound.2025.106259","DOIUrl":"10.1016/j.enganabound.2025.106259","url":null,"abstract":"<div><div>We present a computationally efficient Python algorithm based on the Boundary Element Method (BEM) for frictionless linear elastic axisymmetric contact of coated solids. The algorithm solves indentation problems using conical, spherical, and cylindrical flat indenters, with results also reported for flat punch indentation on a soft-coated substrate. To validate BEM, we implement Finite Element Method (FEM) simulations, analyzing soft layers with Poisson ratios of 0.25, 0.4, and 0.49, aspect ratios from 0.25 to 10, and modulus mismatches of 10 and 100. BEM and FEM show good agreement for compressible soft layers but diverge as incompressibility increases. For Poisson’s ratio of 0.4999, BEM fails due to confinement effects. We verify FEM results using the Poker-chip test, confirming accuracy in highly confined, nearly incompressible cases. For compressible soft layer and large aspect ratios, we found good agreement between BEM and analytical result of Poker-chip test applicable in that regime.</div></div>","PeriodicalId":51039,"journal":{"name":"Engineering Analysis with Boundary Elements","volume":"177 ","pages":"Article 106259"},"PeriodicalIF":4.2,"publicationDate":"2025-04-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143877406","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 localized MQRBF-FD method with adaptive shape parameter optimization for acoustic wave simulation","authors":"Jian Sun, Wenshuai Wang","doi":"10.1016/j.enganabound.2025.106270","DOIUrl":"10.1016/j.enganabound.2025.106270","url":null,"abstract":"<div><div>Accurately simulating acoustic wave propagation is crucial for seismic exploration and acoustic imaging. Traditional numerical methods often struggle to balance accuracy and computational efficiency, particularly when applied to heterogeneous media. The multiquadric radial basis function (MQRBF)-FD method offers flexibility in handling irregular geometries but encounters difficulties in selecting optimal shape parameters and maintaining computational efficiency for large-scale problems. In this paper, we introduce a localized MQRBF-FD method with adaptive shape parameter optimization to address these challenges. This approach combines the spatial approximation flexibility of MQRBF with the computational efficiency of the finite difference (FD) method for time derivatives. The method employs an enhanced random walk algorithm and Adam-BP model to adaptively determine the shape parameters based on Fourier expansions of the wave function. This strategy improves both accuracy and stability in complex media. By performing localized computations, the method minimizes unnecessary global interactions, thus ensuring computational efficiency. Extensive validation, including comparisons with traditional methods in both 2D and 3D scenarios, across various media and grid types, demonstrates significant improvements in accuracy, stability, and acceptable computational cost.</div></div>","PeriodicalId":51039,"journal":{"name":"Engineering Analysis with Boundary Elements","volume":"177 ","pages":"Article 106270"},"PeriodicalIF":4.2,"publicationDate":"2025-04-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143874384","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}
Liwang Liu , Haibo Li , Mingyang Wang , Guokai Zhang , Yaguang Sui , Xiaofeng Li
{"title":"Numerical investigation on quasi-dynamic behaviours of fractured rocks under uniaxial compression using new rate-dependent contact models","authors":"Liwang Liu , Haibo Li , Mingyang Wang , Guokai Zhang , Yaguang Sui , Xiaofeng Li","doi":"10.1016/j.enganabound.2025.106268","DOIUrl":"10.1016/j.enganabound.2025.106268","url":null,"abstract":"<div><div>The behaviour of fractured rocks under quasi-dynamic loads significantly influences the stability of rock engineering projects under dynamic disturbances. To account for strain rate effects, new rate-dependent contact models were proposed in this study. Then, numerical models of fractured rocks were generated for quasi-dynamic simulations under uniaxial compression, aiming to investigate the impacts of strain rate and fracture intensity. The results show that the contact models can effectively replicate the rate-dependent behaviours of uniaxial compressive strength (UCS), and an increasing strain rate would induce a rise in UCS of fractured rocks. Additionally, the number of microcracks initiated in rock matrix and fractures show increasing trends, resulting in the higher number of failure planes and more complex failure patterns as the strain rate increases. In contrast, UCS is negatively correlated with fracture intensity, and the intensity's increase enhances the complexity of failure patterns. Regarding microcracking behaviours, the number of microcracks in rock matrix decreases with increasing intensity, while the number of microcracks within fractures increases. Since the mechanical properties of rock matrix are stronger than those of fractures and the initiation of microcracks requires externally input energy, the variations of microcracking behaviours might be intrinsic mechanisms underlying the changes in UCS.</div></div>","PeriodicalId":51039,"journal":{"name":"Engineering Analysis with Boundary Elements","volume":"176 ","pages":"Article 106268"},"PeriodicalIF":4.2,"publicationDate":"2025-04-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143865169","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}
Ruihua Sun , Haijun Wu , Siyuan Wang , Yinong Gou , Weikang Jiang
{"title":"A fast fully coupled FEM/BEM method for structural-acoustic interaction problems with a uniformly moving source","authors":"Ruihua Sun , Haijun Wu , Siyuan Wang , Yinong Gou , Weikang Jiang","doi":"10.1016/j.enganabound.2025.106261","DOIUrl":"10.1016/j.enganabound.2025.106261","url":null,"abstract":"<div><div>When a structure moves uniformly at high-speed, the structural-acoustic coupling significant alters the acoustic field distribution compared to conditions without coupling. We propose a hybrid numerical method combining the finite element method (FEM) for structural vibration and the convective boundary element method (BEM) for sound propagation in uniform flow to predict the acoustic field of a uniformly moving body. We introduce the acoustic-analogy Lorentz (a-a Lorentz) transformation to accelerate the convective BEM. To establish the structural-acoustic coupling condition, we derive a mapping method for different physical fields and spacetimes based on the time and space transformations of the a-a Lorentz transformations. A fully coupled solution scheme based on the fast multipole method (FMM) has been developed. By integrating the FEM matrix into the boundary element equation, we eliminate structural degrees of freedom and address the ill-conditioned issue of the direct coupling matrix. Additionally, the FMM efficiently handles large-scale problems. We construct a semi-analytical model to verify the proposed method's correctness and efficiency. The impact of varying Mach numbers and structural elasticity modulus on the coupling effect is analyzed indicating that coupling analysis is essential under high-speed conditions. A full-fuselage model is computed to validate the method's efficiency for large-scale problems.</div></div>","PeriodicalId":51039,"journal":{"name":"Engineering Analysis with Boundary Elements","volume":"177 ","pages":"Article 106261"},"PeriodicalIF":4.2,"publicationDate":"2025-04-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143863635","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}