{"title":"Boundary Knots Method with ghost points for high-order Helmholtz-type PDEs in multiply connected domains","authors":"T. Li , M. Lei , HongEn. Jia","doi":"10.1016/j.enganabound.2024.105998","DOIUrl":"10.1016/j.enganabound.2024.105998","url":null,"abstract":"<div><div>This paper proposes the Boundary Knot Method with ghost points (BKM-G), which enhances the performance of the BKM for solving 2D (3D) high-order Helmholtz-type partial differential equations in domains with multiple cavities. The BKM-G differs from the conventional BKM by relocating the source points from the boundary collocation nodes to a random region, such as a circle (sphere) encompassing the original domain in 2D (3D). Compared with classical BKM, this modification improves accuracy without sacrificing simplicity and efficiency. Moreover, this paper investigates and analyzes the effect of the ghost circle/sphere’s radius <span><math><mi>R</mi></math></span> in BKM-G for solving various high-order Helmholtz-type PDEs. Numerous 2D and 3D numerical examples illustrate that the BKM-G outperforms the BKM for a wide range of <span><math><mi>R</mi></math></span>. The effectiveness of the proposed effective condition number (ECN) approach in finding the optimal <span><math><mi>R</mi></math></span> has also been demonstrated. Furthermore, the economic ECN (EECN) is studied to significantly improve the efficiency of ECN.</div></div>","PeriodicalId":51039,"journal":{"name":"Engineering Analysis with Boundary Elements","volume":"169 ","pages":"Article 105998"},"PeriodicalIF":4.2,"publicationDate":"2024-10-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142529500","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":"Discussion on “2.5D prediction of soil vibrations due to railway loads by the isogeometric analysis with scaled boundary” by Yang Y.B. and Li. J","authors":"Alireza Yaseri","doi":"10.1016/j.enganabound.2024.106006","DOIUrl":"10.1016/j.enganabound.2024.106006","url":null,"abstract":"","PeriodicalId":51039,"journal":{"name":"Engineering Analysis with Boundary Elements","volume":"169 ","pages":"Article 106006"},"PeriodicalIF":4.2,"publicationDate":"2024-10-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142529498","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":"An online interactive physics-informed adversarial network for solving mean field games","authors":"Weishi Yin , Zhengxuan Shen , Pinchao Meng , Hongyu Liu","doi":"10.1016/j.enganabound.2024.106002","DOIUrl":"10.1016/j.enganabound.2024.106002","url":null,"abstract":"<div><div>We propose an online interactive physics-informed adversarial network (IPIAN) to address mean field games (MFGs) from the perspective of physics-informed interaction. In this study, we model the interaction between agents as a physics-informed exchange process, quantifying the evolution and distribution of individual strategy choices. We utilize the variational dyadic structure of MFGs to transform the dynamic game problem into a static optimization problem, subsequently employing the adversarial network to solve the mean field games. Based on the generative adversarial framework, two online physics-informed networks solve the value and density functions. These networks are trained to approximate the solution of MFGs through adversarial means. Additionally, a self-attention mechanism is introduced to enhance the focus on strategic physics-informed, thereby improving the expressiveness of IPIAN. Numerical experiments validate the effectiveness of IPIAN in solving high-dimensional mean field game models, as demonstrated by obstacle avoidance experiments with a quadrotor in various scenarios.</div></div>","PeriodicalId":51039,"journal":{"name":"Engineering Analysis with Boundary Elements","volume":"169 ","pages":"Article 106002"},"PeriodicalIF":4.2,"publicationDate":"2024-10-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142529499","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}
Yue Zhuo , Degao Zou , Kai Chen , Jingmao Liu , Yongqian Qu , Guoyang Yi
{"title":"A coupled scaled boundary finite element and phase-field algorithm for seismic loading","authors":"Yue Zhuo , Degao Zou , Kai Chen , Jingmao Liu , Yongqian Qu , Guoyang Yi","doi":"10.1016/j.enganabound.2024.106009","DOIUrl":"10.1016/j.enganabound.2024.106009","url":null,"abstract":"<div><div>Seismic-induced damage, integral to the safety evaluations of major engineering projects, persists as a key focus of research worldwide. Based on the Scaled Boundary Finite Element Method (SBFEM) and the Phase-Field Method (PFM), a coupled algorithm tailored for reciprocal loading was introduced in this paper, integrating strategies including \"closure constraints,\" \"numerical threshold strategy,\" and \"subdomain block integration.\" Adopting object-oriented principles, a universal coupling solution framework has been built and seamlessly embedded within GEODYNA, a self-developed finite element software system. The accuracy was validated through rigorous benchmark tests. The entire process of crack initiation, propagation, and dynamic opening-closing cycles in the Koyna concrete gravity dam was reproduced. Furthermore, the effect of mesh size and computational timestep on the structural seismic response, crack localization, and the extent of damage in the dam were explored. The outcomes demonstrated that the SBFEM-PFM coupling algorithm performs effectively and meets the engineering precision criteria for seismic evaluations and reinforcement analyses of crucial structures.</div></div>","PeriodicalId":51039,"journal":{"name":"Engineering Analysis with Boundary Elements","volume":"169 ","pages":"Article 106009"},"PeriodicalIF":4.2,"publicationDate":"2024-10-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142529497","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":"RIM-IGABEM and DRM-IGABEM in three-dimensional general anisotropic elastic problems with complex-shape cavities","authors":"Fangling Sun , Chunying Dong","doi":"10.1016/j.enganabound.2024.106000","DOIUrl":"10.1016/j.enganabound.2024.106000","url":null,"abstract":"<div><div>The paper establishes the pure boundary integral equations of the isogeometric boundary element method (IGABEM) based on isotropic fundamental solutions to solve three-dimensional (3D) general anisotropic elastic problems including various complex cavities. The residual method is employed which introduces the fictitious body force causing the domain integral. Subsequently, the radial integration method (RIM) and the dual reciprocity method (DRM) are utilized to transform the domain integral to the boundary integral, respectively. Moreover, the Bézier extraction technique are used to facilitate the incorporation of NURBS into boundary element codes. Based on this, a novel scheme to determine the location of the collocation points in NURBS elements is proposed. Finally, the theoretical frameworks of the RIM-IGABEM and the DRM-IGABEM are developed, which retain the advantages of BEM and IGA, i.e. only boundary is discretized and complex geometry is described exactly, and the schemes are adaptable that only require to change pre-processing of a considered anisotropic problems, including the material properties and the geometry. Several numerical examples are used to demonstrate effectiveness of the schemes, and the effects of the material properties and the geometric shape on the distribution of displacements are discussed in detail.</div></div>","PeriodicalId":51039,"journal":{"name":"Engineering Analysis with Boundary Elements","volume":"169 ","pages":"Article 106000"},"PeriodicalIF":4.2,"publicationDate":"2024-10-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142526688","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}
Guizhong Xie , Jinghui Li , Hao Li , Liangwen Wang , Xiaoke Li , Hongrui Geng
{"title":"Crack growth evaluation based on the extended finite element and particle filter combined method","authors":"Guizhong Xie , Jinghui Li , Hao Li , Liangwen Wang , Xiaoke Li , Hongrui Geng","doi":"10.1016/j.enganabound.2024.106004","DOIUrl":"10.1016/j.enganabound.2024.106004","url":null,"abstract":"<div><div>In the issue of significant prediction deviations in fatigue crack predictions, the parameter uncertainties are usually neglected. To deal with this drawback, this paper proposes a crack growth evaluation method which takes parameter uncertainties into account to predict crack fatigue life. Firstly, the life model of crack growth is established through the combination of extended finite element method (XFEM) and Paris law. Then, the particle filter (PF) is used to reduce the uncertainty of material parameters through the actual monitoring data, and the material parameters in Paris law are estimated. Finally, the updated material parameters are put into the crack growth model for calculation, enabling a more accurate prediction of fatigue crack life. The feasibility of the proposed method is verified by two numerical examples, and the analysis results show that the proposed method can predict the fatigue crack growth life accurately.</div></div>","PeriodicalId":51039,"journal":{"name":"Engineering Analysis with Boundary Elements","volume":"169 ","pages":"Article 106004"},"PeriodicalIF":4.2,"publicationDate":"2024-10-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142526687","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}
Bin Hu , Cong Li , Zhongrong Niu , Lei Chen , Shijie Tang
{"title":"An advanced fast multipole BEM for analyzing 2D heat conduction problems in multi-notched structures","authors":"Bin Hu , Cong Li , Zhongrong Niu , Lei Chen , Shijie Tang","doi":"10.1016/j.enganabound.2024.105995","DOIUrl":"10.1016/j.enganabound.2024.105995","url":null,"abstract":"<div><div>A new fast multipole boundary element method (FMBEM) is developed for heat conduction in multi-notched structures. To address the heat flux singularity occurring at the tips of cracks or sharp notches, a novel variable-order asymptotic element (VAE) is proposed. The VAE offers the flexibility to represent various singular orders through a simple adjustment of the exponent, and it is designed to be compatible with conventional elements, whether they are discontinuous or continuous. Subsequently, the VAE is integrated into the FMBEM framework, and several algorithms are established to deal with the singularity problems of boundary integrals on the VAE. Compared to the conventional FMBEM with quadratic elements, the present method achieves more precise results with a very low computational cost, which proves to be accurate and efficient for heat analysis of porous structures containing non-conductive cracks and polygonal pores.</div></div>","PeriodicalId":51039,"journal":{"name":"Engineering Analysis with Boundary Elements","volume":"169 ","pages":"Article 105995"},"PeriodicalIF":4.2,"publicationDate":"2024-10-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142526686","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}
Zhenkun Cao , Chengbao Sun , Miao Cui , Ling Zhou , Kun Liu
{"title":"A fast methodology for identifying thermal parameters based on improved POD and particle swarm optimization and its applications","authors":"Zhenkun Cao , Chengbao Sun , Miao Cui , Ling Zhou , Kun Liu","doi":"10.1016/j.enganabound.2024.106001","DOIUrl":"10.1016/j.enganabound.2024.106001","url":null,"abstract":"<div><div>The identification method based on the traditional Proper Orthogonal Decomposition (POD) reduced-order model has the problem of low efficiency, due to the large amount of both data and computation, when dealing with complicated problems with a large number of spatially distributed nodes. To deal with this issue, an improved POD reduced-order model is proposed in this work. The improved POD reduced-order model only requires the establishment of a three-dimensional (3D) database of training samples varied with both time and measurement locations. Therefore, the amount of data and computation is independent of the total number of spatially distributed nodes, which enables the amount of data and computation to be greatly reduced. To identify thermal parameters in heat conduction problems, a database of transient temperature field is constructed with different training parameters and space nodes by using polygonal boundary element method, and a set of POD basis vectors is obtained by the POD reduced-order model. Then, a surrogate model combined with the improved particle swarm optimization (PSO) is employed for the identification of thermal parameters. Three different inverse heat conduction problems are designed and analyzed to verify the performance of the improved methodology. The results show that the efficiency of the modified method is superior to the traditional POD method with comparable accuracy. The more of the number of spatially distributed nodes, the more obvious advantages of the efficiency. Furthermore, this method has been tested on noisy data, proving its reliability in dealing with problems arising from measurement errors.</div></div>","PeriodicalId":51039,"journal":{"name":"Engineering Analysis with Boundary Elements","volume":"169 ","pages":"Article 106001"},"PeriodicalIF":4.2,"publicationDate":"2024-10-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142526685","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}
Lei Sun , Siji Tao , Xuhai Tang , Quansheng Liu , Giovanni Grasselli
{"title":"A TOUGH-FEMM based cryogenic THM coupled model and its application to cold-region tunnels","authors":"Lei Sun , Siji Tao , Xuhai Tang , Quansheng Liu , Giovanni Grasselli","doi":"10.1016/j.enganabound.2024.105994","DOIUrl":"10.1016/j.enganabound.2024.105994","url":null,"abstract":"<div><div>The frost damage of rock mass poses a serious threat to the safety and stability of tunnels in cold regions, and the related thermo-hydro-mechanical (THM) coupling model under low-temperature conditions has been a key focus of research. This paper proposed a cryogenic THM coupled model (TOUGH-FEMM) to study the frost heave behavior of cold-region tunnels. Key issues including heat transfer, thermal stress, water-ice phase transition, unfrozen water, frost heave deformation, and ice-rock interaction are systematically addressed in the proposed model. Specifically, frost pressure in pores and cracks is derived separately to better simulate the ice expansion effect in rock masses. The proposed model is first validated against an experimental test and then applied to a practical cold-region tunnel to reveal the evolution of temperature, frost pressure and frost heave fields, as well as the tunnel stability. Moreover, the effects of cracks and frost damage on tunnel stability under freeze-thaw cycles are discussed. The work detailed herein provides an efficient tool for the THM coupled process in cold-region tunnels.</div></div>","PeriodicalId":51039,"journal":{"name":"Engineering Analysis with Boundary Elements","volume":"169 ","pages":"Article 105994"},"PeriodicalIF":4.2,"publicationDate":"2024-10-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142445274","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}
Carlos Friedrich Loeffler , Vitor Pancieri Pinheiro , Luciano de Oliveira Castro Lara
{"title":"A novel direct interpolation boundary element method formulation for solving diffusive–advective problems","authors":"Carlos Friedrich Loeffler , Vitor Pancieri Pinheiro , Luciano de Oliveira Castro Lara","doi":"10.1016/j.enganabound.2024.105992","DOIUrl":"10.1016/j.enganabound.2024.105992","url":null,"abstract":"<div><div>The capability of dealing with the advective transport term constitutes a challenging issue for the performance of the majority of the numerical techniques, which significantly lose their precision with the increasing in the relative magnitude of this term. Recently, a new boundary element technique called direct interpolation (DIBEM) has emerged, mainly characterized by the approximation of the entire kernel of the remaining domain integrals. The DIBEM model has been successfully applied to several scalar field problems and recently applied to certain diffusive–advective problems with superior accuracy compared to dual reciprocity formulation (DRBEM). Using DIBEM, a broader range of precise responses for flows with higher Peclet numbers can be reached beyond a lower computational cost due to the simplicity of its matrix operations. These advantages are due DIBEM concept that employs a simple interpolation procedure to approximate the kernel of the advective domain integral. However, it was noticed that in some physical scenarios with spatial variation in the velocity field, the accuracy of DIBEM did not have the same quality observed in other applications. Therefore, this work presents a new DIBEM model so that the integral equations include the explicit calculation of spatial derivatives and simultaneously solve the variation of the divergent velocity field if this is not zero. Conversely, reactive and source terms were also included to expand numerical comparisons. Thus, in the proposed examples, the results of two DIBEM models, the standard (DIBEM-S) and the new, so-called alternative model (DIBEM-A), are compared with DRBEM and also with available analytical solutions.</div></div>","PeriodicalId":51039,"journal":{"name":"Engineering Analysis with Boundary Elements","volume":"169 ","pages":"Article 105992"},"PeriodicalIF":4.2,"publicationDate":"2024-10-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142445273","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}