Advances in Engineering Software最新文献

Folded graphene reinforced metal matrix nanocomposites with comprehensively enhanced tensile mechanical properties 全面增强拉伸力学性能的折叠石墨烯增强金属基纳米复合材料

IF 4 2区工程技术 Q2 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS

Advances in Engineering Software

Pub Date : 2024-11-30 DOI: 10.1016/j.advengsoft.2024.103829

Pan Shi , Yao Chen , Tong Guo , Yongming Tu , Jian Feng

It is urgent to develop advanced materials with high strength, high toughness and good ductility for modern engineering structures. Graphene reinforced metal matrix nanocomposites exhibit significantly enhanced strength and toughness, but their ductility remains relatively low due to the inherent tensile brittleness of graphene. Inspired by the origami concept, we utilize the surface hydrogenation method to develop an armchair-like folded graphene (AFG) structure as reinforcement for metal matrix composites. Molecular dynamics simulations show that the AFG structure can simultaneously enhance the tensile strength, stiffness, ductility, and toughness of copper (Cu) matrix composites. Compared with pristine graphene/Cu nanocomposites, AFG/Cu nanocomposites exhibit better ductility and toughness, while maintaining comparable strength and stiffness. Furthermore, the mechanical properties of AFG/Cu nanocomposites can be tuned by altering the degree of AFG folding and the distances between adjacent hydrogenated zones. The strengthening and toughening mechanism is that mechanically strong AFG can effectively block dislocation propagation across the metal-graphene interface before it unfolds to fracture. Such mechanism can be extended to other 2D nanomaterials reinforced metal matrix nanocomposites, opening up an avenue for developing high-performance nanocomposites.

为现代工程结构开发高强度、高韧性、高延展性的先进材料是迫切需要的。石墨烯增强金属基纳米复合材料的强度和韧性显著增强，但由于石墨烯固有的拉伸脆性，其延展性仍然相对较低。受折纸概念的启发，我们利用表面氢化方法开发了一种类似扶手椅的折叠石墨烯（AFG）结构，作为金属基复合材料的增强材料。分子动力学模拟表明，AFG结构可以同时提高铜基复合材料的抗拉强度、刚度、延展性和韧性。与原始石墨烯/Cu纳米复合材料相比，AFG/Cu纳米复合材料具有更好的延展性和韧性，同时保持了相当的强度和刚度。此外，可以通过改变AFG的折叠程度和相邻氢化区之间的距离来调节AFG/Cu纳米复合材料的力学性能。强化和增韧的机制是，机械强度高的AFG可以有效地阻止位错在金属-石墨烯界面上的传播，防止其展开断裂。该机理可推广到其他二维纳米材料增强金属基纳米复合材料中，为开发高性能纳米复合材料开辟了道路。

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引用次数: 0

Efficiency of the dynamic relaxation method in the stabilisation process of bridge and building frame 动态松弛法在桥梁和建筑框架稳定过程中的效率

IF 4 2区工程技术 Q2 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS

Advances in Engineering Software

Pub Date : 2024-11-22 DOI: 10.1016/j.advengsoft.2024.103828

Somnath Karmakar , Goutam Kuti , Amit Shaw

More and more complex Civil Engineering problems are being considered in computational mechanics with the invention of high-quality computing techniques. In addition, the computational cost and storage requirement for complex and or large structures have increased dramatically, leading to an increased interest in removing the difficulties using any form of parallel computing. The process of applying the preload for parallel computing to any unstable structures is called a stabilising process, such as the Dynamic Relaxation Method (DRM) is one. This method minimises the energy by a simple vector iteration technique, which ultimately leads the structure to a static equilibrium state. The present study aims to highlight the utility of the DRM in the stabilisation process for small structures like building frames and large and or complicated structures such as bridges before actual transient analysis. Therefore, the present manuscript discusses the computational cost, CPU runtime, multiple increases of mass and rigid body displacement of building frames and bridges. The DRM allows an explicit solver to conduct a dynamic analysis by increasing the damping until the kinetic energy drops to a proposed value. The simulation of the DRM starts to find the equilibrium state with minimal dynamic effect, which is required to apply at the beginning of the solution phase to obtain the initial stress and displacement field before the start of the actual analysis.

随着高质量计算技术的发明，越来越多复杂的土木工程问题正在计算力学中得到考虑。此外，复杂或大型结构的计算成本和存储要求也急剧增加，这导致人们对使用任何形式的并行计算来消除困难的兴趣与日俱增。对任何不稳定结构施加并行计算预载的过程被称为稳定过程，如动态松弛法（DRM）就是其中之一。该方法通过简单的矢量迭代技术使能量最小化，最终使结构达到静态平衡状态。本研究旨在强调 DRM 在实际瞬态分析前的稳定过程中对小型结构（如建筑框架）和大型或复杂结构（如桥梁）的实用性。因此，本手稿讨论了建筑框架和桥梁的计算成本、CPU 运行时间、质量和刚体位移的多次增加。DRM 允许显式求解器通过增加阻尼进行动态分析，直到动能下降到建议值。DRM 模拟开始寻找动态效应最小的平衡状态，这需要在求解阶段开始时应用，以便在实际分析开始前获得初始应力和位移场。

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引用次数: 0

Aerodynamic optimization of aircraft wings using machine learning 利用机器学习优化飞机机翼气动性能

IF 4 2区工程技术 Q2 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS

Advances in Engineering Software

Pub Date : 2024-11-21 DOI: 10.1016/j.advengsoft.2024.103801

M. Hasan , S. Redonnet , D. Zhongmin

This study proposes a fast yet reliable optimization framework for the aerodynamic design of transonic aircraft wings. Combining Computational Fluid Dynamics (CFD) and Machine Learning (ML), the framework is successfully applied to the Common Research Model (CRM) benchmark aircraft proposed by NASA. The framework relies on a series of automated CFD simulations, from which no less than 160 planform variations of the CRM wing are assessed from an aerodynamic standpoint. This database is used to educate an ML surrogate model, for which two specific algorithms are explored, namely eXtreme Gradient Boosting (XGB) and Light Gradient Boosting Machine (LGBM). Once trained with 80 % of this database and tested with the remaining 20 %, the ML surrogates are employed to explore a larger design space, their optimum being then inferred using an optimization framework relying on a Multi-Objective Genetic Algorithm (MOGAO). Each ML-based optimal planform is then simulated through CFD to confirm its aerodynamic merits, which are then compared against those of a conventional, fully CFD-based optimization. The comparison is very favourable, the best ML-based optimal planform exhibiting similar performances as its CFD-optimized counterpart (e.g. a 14 % higher lift-to-drag ratio) for only half of the CPU cost. Overall, this study demonstrates the potential of ML-based methods for optimizing aircraft wings, thereby paving the way to the adoption of more disruptive, data-driven aircraft design paradigms.

本研究为跨音速飞机机翼的气动设计提出了一个快速而可靠的优化框架。结合计算流体动力学（CFD）和机器学习（ML），该框架成功应用于美国国家航空航天局（NASA）提出的通用研究模型（CRM）基准飞机。该框架依靠一系列自动 CFD 仿真，从空气动力学角度评估了 CRM 机翼的不少于 160 种平面形状变化。该数据库用于培养 ML 代理模型，并为此探索了两种特定算法，即极端梯度提升算法 (XGB) 和轻梯度提升机 (LGBM)。在使用该数据库的 80% 进行训练并使用剩余的 20% 进行测试后，将使用 ML 代理来探索更大的设计空间，然后使用依赖于多目标遗传算法 (MOGAO) 的优化框架来推断其最佳值。然后，通过 CFD 对每个基于 ML 的优化方案进行模拟，以确认其气动性能，并将其与传统的、完全基于 CFD 的优化方案进行比较。比较结果非常有利，基于 ML 的最佳方案与基于 CFD 优化的方案表现出相似的性能（例如，升阻比提高了 14%），而 CPU 成本只有后者的一半。总之，这项研究证明了基于 ML 的方法在优化飞机机翼方面的潜力，从而为采用更具颠覆性的数据驱动飞机设计模式铺平了道路。

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引用次数: 0

Shear lag and shear deformation in box girders considering tendon transverse layout by improved beam element model 通过改进的梁单元模型考虑筋横向布置的箱梁剪力滞后和剪力变形

IF 4 2区工程技术 Q2 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS

Advances in Engineering Software

Pub Date : 2024-11-21 DOI: 10.1016/j.advengsoft.2024.103826

Xiaoyang He , Zhengyang Chen , Qiangqiang Wu , Heng Lin , Yiqiang Xiang

The transverse and vertical layouts of tendons within prestressed concrete (PC) box girders induce complex mechanical behaviors that necessitate precise evaluation for effective structural design. However, existing investigations often overlook the impact of tendon transverse layout. To address this gap, an improved beam element, designated as B12TS, is developed for shear deformation and shear lag analyses of PC box girders under prestressing effects. The element integrates the tendon transverse layout through non-uniform longitudinal displacements of the tendons modeled as a series of piecewise linear segments. The prestressing forces are converted into equivalent nodal forces acting on the elements. The element shape functions are derived from the homogeneous solutions to the relevant differential equations. Comparative analyses involving various beam element models, available experimental data, and three-dimensional (3D) finite element simulations demonstrate that the B12TS element model significantly enhances the accuracy and efficiency of predicting both deflections and stress distributions. Furthermore, the effects of prestressing on the flange and web tendons of typical PC box beams are examined to quantify the impacts of shear lag, shear deformation, and tendon transverse layout. The findings reveal that the transverse layout of the flange tendons remarkably influences both the magnitude and distribution shape of normal stresses, particularly near anchorage locations. Consequently, the B12TS element model proves to be a valuable analysis tool for designing prismatic and non-prismatic PC box girder bridges with various tendon layouts.

预应力混凝土（PC）箱梁中的筋的横向和纵向布置会产生复杂的力学行为，需要对其进行精确评估，以便进行有效的结构设计。然而，现有的研究往往忽略了筋横向布置的影响。为了弥补这一缺陷，我们开发了一种改进的梁元素（命名为 B12TS），用于分析预应力效应下 PC 箱梁的剪切变形和剪切滞后。该元素通过将筋的非均匀纵向位移建模为一系列片断线性段，从而整合了筋的横向布局。预应力被转换为作用在元素上的等效节点力。元件形状函数由相关微分方程的均质解导出。涉及各种梁元素模型、现有实验数据和三维（3D）有限元模拟的比较分析表明，B12TS 元素模型显著提高了预测挠度和应力分布的精度和效率。此外，还研究了预应力对典型 PC 箱梁翼缘和腹板筋的影响，以量化剪力滞后、剪切变形和筋横向布置的影响。研究结果表明，翼缘筋的横向布置对法向应力的大小和分布形状都有显著影响，尤其是在锚固位置附近。因此，B12TS 元素模型被证明是设计具有各种肌腱布局的棱柱式和非棱柱式 PC 箱梁桥的重要分析工具。

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引用次数: 0

A novel optimization approach for the design of environmentally efficient gridshells with reclaimed steel members 利用再生钢构件设计环保高效格栅外壳的新型优化方法

IF 4 2区工程技术 Q2 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS

Advances in Engineering Software

Pub Date : 2024-11-20 DOI: 10.1016/j.advengsoft.2024.103825

V. Tomei, E. Grande, M. Imbimbo

The reuse of structural components from decommissioned structures is gaining traction among researchers and industry professionals. This approach offers significant advantages, including reduced costs and a smaller environmental footprint, by incorporating reclaimed elements from dismantled structures into the design of new ones. Steel elements are particularly well-suited to this purpose because they preserve their mechanical properties over time. Nevertheless, integrating reused members into the structure of a gridshell introduces complexities into the design process, as it adds additional parameters related to the characteristics of the reused members themselves, such as cross-section, length, and material. Therefore, optimizing gridshell structures with reused members necessitates analyzing solutions based on the placement of the reused members within the grid, as well as considering grid configurations that accommodate the characteristics of the reused members.

This paper presents a novel approach for optimizing steel gridshells that integrates reclaimed members into the structure. The approach effectively combines a geometry and a size optimization technique through a unique process using genetic algorithms. Applied to a case study derived from the literature and considering different scenarios of reused elements, the approach is also compared to a manual design approach. The results and comparisons demonstrate the proposed approach's capability to provide lighter solutions, leading to lower costs and a reduced environmental impact, the last highlighted by the evaluation of the greenhouse gas emission for each case.

重新利用退役结构中的结构部件越来越受到研究人员和行业专业人士的关注。这种方法通过将拆除结构中的再生构件融入新结构的设计中，具有降低成本和减少环境足迹等显著优势。钢构件尤其适用于这一目的，因为它们可以长期保持机械性能。然而，将重复利用的构件整合到格栅结构中会给设计过程带来复杂性，因为这会增加与重复利用构件本身特性相关的额外参数，如横截面、长度和材料。因此，要优化带有重复使用构件的格栅外壳结构，就必须根据重复使用构件在格栅中的位置来分析解决方案，并考虑适应重复使用构件特性的格栅配置。该方法通过使用遗传算法的独特流程，有效结合了几何形状和尺寸优化技术。该方法应用于文献中的一个案例研究，并考虑了再利用构件的不同情况，还与人工设计方法进行了比较。结果和比较表明，所提出的方法能够提供更轻的解决方案，从而降低成本并减少对环境的影响。

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引用次数: 0

Workflow for high-quality visualisation of large-scale CFD simulations by volume rendering 通过体渲染实现大规模 CFD 模拟高质量可视化的工作流程

IF 4 2区工程技术 Q2 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS

Advances in Engineering Software

Pub Date : 2024-11-18 DOI: 10.1016/j.advengsoft.2024.103822

Markéta Faltýnková, Ondřej Meca, Tomáš Brzobohatý, Lubomír Říha, Milan Jaroš, Petr Strakoš

High-fidelity CFD simulations can easily generate terabytes to petabytes of resulting data. Post-processing of such data is not an easy task. It holds especially for volume rendering, one of the most illustrative but computationally intensive post-processing techniques.

This paper presents an HPC-ready workflow for post-processing large-scale CFD data computed on unstructured meshes by volume rendering using matured visual effects tools. The workflow consists of five steps: (1) parallel loading of unstructured data into memory, (2) data load-balancing among available resources, (3) re-sampling unstructured data into a regular grid (voxelisation), (4) storing data to OpenVDB format, and (5) final high-quality volume rendering of the (possibly sparse) regular grid in Blender. The workflow is based on open-source libraries, where we have improved all these steps to build an effective and robust approach. Due to parallel loading and appropriate load balancing, our workflow (a) allows loading sequential databases that do not fit into the memory of a single node and (b) significantly outperforms current scientific visualisation tools in voxelisation scalability. Moreover, due to the connection to professional visual effects tools such as Blender, interactive or photo-realistic volume rendering by path tracing, which includes global illumination effects, is allowed.

With the workflow, it is possible to re-sample hundreds of time steps on an unstructured mesh with 1 billion cells (tens of TB of data) to a sparse regular grid with a density of 11 billion voxels and prepare data for interactive visualisation in just a few minutes using thousands of CPU cores.

高保真 CFD 模拟很容易产生 TB 到 PB 级的结果数据。对这些数据进行后处理并非易事。本文介绍了一种适用于 HPC 的工作流程，可利用成熟的视觉效果工具，通过体渲染对非结构网格上计算的大规模 CFD 数据进行后处理。该工作流程包括五个步骤：(1) 将非结构化数据并行加载到内存中，(2) 在可用资源之间进行数据负载平衡，(3) 将非结构化数据重新采样到规则网格中（体素化），(4) 将数据存储为 OpenVDB 格式，(5) 在 Blender 中对规则网格（可能稀疏）进行最终的高质量体积渲染。该工作流程以开源库为基础，我们对所有这些步骤进行了改进，以建立一种有效而强大的方法。通过并行加载和适当的负载平衡，我们的工作流程（a）可以加载单个节点内存无法容纳的顺序数据库，（b）在体素化可扩展性方面明显优于当前的科学可视化工具。此外，由于与 Blender 等专业视觉效果工具相连接，还可以通过路径追踪（包括全局照明效果）进行交互式或照片般逼真的体积渲染。利用该工作流，可以在具有 10 亿个单元（数百 TB 数据）的非结构网格上重新采样数百个时间步长，将其转换为具有 110 亿体素密度的稀疏规则网格，并在几分钟内使用数千个 CPU 内核为交互式可视化准备数据。

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引用次数: 0

Three-dimensional isogeometric finite element solution method for the nonlinear thermal and thermomechanical bending analysis of laminated graphene platelet-reinforced composite plates with and without cutout 用于有切口和无切口层状石墨烯血小板增强复合材料板非线性热和热力学弯曲分析的三维等几何有限元求解方法

IF 4 2区工程技术 Q2 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS

Advances in Engineering Software

Pub Date : 2024-11-18 DOI: 10.1016/j.advengsoft.2024.103824

Vuong Nguyen Van Do , Thang N. Dao , Chin-Hyung Lee

In this paper, a new three-dimensional (3D) numerical solution method for analyzing the nonlinear flexural response behaviour of laminated graphene platelet (GPL)-reinforced composite plates in thermal or thermomechanical loading is presented. For this purpose, a 3D isogeometric finite element formulation for the thermal and thermomechanical bending analysis is established based on 3D elasticity theory into which the Green-Lagrange strain tensor is incorporated to take the geometric nonlinearity into account, and the 3D steady conduction of heat is considered as the thermal environment to reflect the real circumstance. The 3D isogeometric approach proposed, by replicating multiple benchmark problems and comparing the predicted results to the existing solutions, is evidenced to successfully perform the thermal and thermomechanical bending analysis. Following the verification, nonlinear flexure of the nanocomposite plates under the heat conduction in combination with and without mechanical loading is scrutinized by employing various parameters such as the weight fraction and arrangement scheme of the nanofillers, the plate configuration and the constraint condition. Two types of the GPL-embedded composite plates, i.e., rectangular pristine plate and rectangular plate with cutout are taken into account. Results demonstrate that the proposed IGA method can be used as an accurate and effective numerical tool for analyzing the nonlinear thermoelastic bending behaviour of the intact and perforated GPL-reinforced composite plates and that spreading GPLs near the opposite side of the surface on which the heating is imposed is the most favorable scheme of enhancing the thermal bending resistance.

本文介绍了一种新的三维（3D）数值求解方法，用于分析层状石墨烯平板（GPL）增强复合板在热或热机械载荷下的非线性弯曲响应行为。为此，以三维弹性理论为基础，建立了用于热和热机械弯曲分析的三维等几何有限元公式，并将格林-拉格朗日应变张量纳入其中以考虑几何非线性，同时将三维稳定热传导视为热环境以反映真实情况。通过复制多个基准问题并将预测结果与现有解决方案进行比较，证明所提出的三维等几何方法能够成功进行热和热力学弯曲分析。验证之后，通过采用各种参数，如纳米填料的重量分数和排列方案、板配置和约束条件，仔细研究了纳米复合材料板在热传导和无机械载荷情况下的非线性弯曲。考虑了两种类型的 GPL 嵌入复合板，即矩形原始板和带切口的矩形板。结果表明，所提出的 IGA 方法可作为一种精确有效的数值工具，用于分析完整的和穿孔的 GPL 增强复合板的非线性热弹性弯曲行为，而且在施加加热的表面反面附近铺设 GPL 是增强热弯曲阻力的最有利方案。

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引用次数: 0

Refined finite element analysis of helical wire ropes under multi-axial dynamic loading 多轴动态载荷下螺旋钢丝绳的精细有限元分析

IF 4 2区工程技术 Q2 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS

Advances in Engineering Software

Pub Date : 2024-11-16 DOI: 10.1016/j.advengsoft.2024.103823

Huile Li , Huan Yan

Due to high tensile strength, light weight, and good flexibility, the steel wire ropes with helical structures are widely used as crucial load-bearing components in various industrial sectors such as civil engineering. They are subjected to significant vibrations caused by multi-axial dynamic loading during the service period which may eventually result in premature failures. This paper presents a refined finite element analysis method for helical wire ropes under multi-axial dynamic loading. The proposed method employs multi-directional dynamic excitations extracted from the analysis of the overall engineering systems to consider actual loading conditions. Refined finite element analysis of the entire steel wire rope under multi-axial dynamic loading is carried out for the first time based on the global-local finite element model to obtain detailed mechanical responses. The critical rope segment is represented by solid elements taking into account the helical structure, inter-wire frictional contact, slippage, and material nonlinearity, among others, and non-critical segments are simulated with beam elements in the established global-local model, which can achieve good balance between computational efficiency and accuracy. The refined finite element modeling strategy is validated via three numerical examples with comparisons against the results in the literature. The proposed method is illustrated on the suspender cable used in suspension bridges. Detailed mechanical responses and their influencing factors are examined to acquire new insights into the dynamic mechanical characteristics of typical double-helical wire rope. The present work can provide an efficient tool for the assessment of in-service engineering systems containing helical wire ropes.

螺旋结构钢丝绳具有抗拉强度高、重量轻、柔韧性好等特点，被广泛用作土木工程等各工业领域的重要承重部件。在使用过程中，它们会受到多轴动态载荷引起的剧烈振动，最终可能导致过早失效。本文提出了一种针对多轴动态载荷下螺旋钢丝绳的精细有限元分析方法。所提出的方法采用了从整体工程系统分析中提取的多方向动态激励，以考虑实际加载条件。基于全局-局部有限元模型，首次对多轴向动态载荷下的整个钢丝绳进行了精细有限元分析，以获得详细的机械响应。考虑到螺旋结构、钢丝间摩擦接触、滑移和材料非线性等因素，关键绳段由实体元素表示，而非关键绳段则在已建立的全局-局部模型中使用梁元素进行模拟，从而在计算效率和精度之间实现了良好的平衡。改进后的有限元建模策略通过三个数值实例进行了验证，并与文献中的结果进行了比较。提出的方法以悬索桥中使用的悬索为例进行了说明。研究了详细的机械响应及其影响因素，从而对典型双螺旋钢丝绳的动态机械特性有了新的认识。本研究可为评估包含螺旋钢丝绳的在役工程系统提供有效工具。

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引用次数: 0

An engineering-oriented Shallow-water Hydro-Sediment-Morphodynamic model using the GPU-acceleration and the hybrid LTS/GMaTS method 利用 GPU 加速和 LTS/GMaTS 混合方法建立面向工程的浅水水文沉积-形态动力学模型

IF 4 2区工程技术 Q2 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS

Advances in Engineering Software

Pub Date : 2024-11-16 DOI: 10.1016/j.advengsoft.2024.103821

Zixiong Zhao , Peng Hu , Wei Li , Zhixian Cao , Youwei Li

Engineering applications of finite volume Shallow-water Hydro-Sediment-Morphodynamic models (SHSM) have faced limitations due to their high computational demands arising from either extremely large amounts of computational cells or extremely small time steps at some regions and simultaneously the adoption of the globally minimum time step. To this end, we present an engineering-oriented modeling framework by (1) using the GPU-acceleration that overcomes the challenge of extremely large amounts of computational cells and (2) using a hybrid local-time-stepping/global maximum time step (LTS/GMaTS) strategy that mitigates the extremely small local time steps necessitated by locally-refined meshes or non-uniformity of flow conditions. The GPU parallel algorithm is tailored to fully leverage the computational power of GPU, optimizing numerical structure, kernel functions and memory usage, all in conjunction with the hybrid LTS/GMaTS implementation. We demonstrate its computational efficiency by simulating one experimental dam-break flow and a field-scale case in the Xinjiu waterway, Middle Yangtze River. The results show that the scheme performs well in terms of accuracy, efficiency, and robustness in reproducing real-world hydro-sediment-morphological evolution.

有限体积浅水水文-沉积-形态动力学模型（SHSM）的工程应用面临着诸多限制，原因是其计算需求很高，要么是计算单元数量极大，要么是某些区域的时间步长极小，同时还采用了全局最小时间步长。为此，我们提出了一个面向工程的建模框架：(1) 使用 GPU 加速，克服了计算单元量极大的挑战；(2) 使用局部时间步长/全局最大时间步长（LTS/GMaTS）混合策略，缓解了因局部细化网格或流动条件不均匀而导致的局部时间步长极小的问题。为充分利用 GPU 的计算能力，我们对 GPU 并行算法进行了定制，优化了数值结构、内核函数和内存使用，所有这些都与 LTS/GMaTS 混合实现相结合。我们通过模拟长江中游新九水道的一次试验性断坝流和一个野外尺度的案例，证明了该方案的计算效率。结果表明，该方案在再现真实世界水文沉积物形态演变方面具有良好的精度、效率和鲁棒性。

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引用次数: 0

Dimensionality reduction of solution reconstruction methods for a four-point stencil 四点模版求解重构方法的降维问题

IF 4 2区工程技术 Q2 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS

Advances in Engineering Software

Pub Date : 2024-11-15 DOI: 10.1016/j.advengsoft.2024.103804

Seongmun Jung, Seung-Yun Shin , Sang Lee

The development of reconstruction methods has faced considerable challenges due to their inherent high dimensionality. In the present study, an innovative dimensionality reduction method aimed at mitigating these challenges by normalizing flow variables is proposed. Through our investigation, we demonstrate that a reconstruction method, specifically designed for a four-point stencil that is compatible with unstructured meshes, can be effectively represented by six two-dimensional functions. This key insight enables us to devise a visualization technique utilizing a single contour plot for the reconstruction method. Additionally, we establish that a single data set can adequately represent the reconstruction method, facilitating solution reconstruction through data set interpolation. By carefully evaluating the interpolation error, a data set of reasonable size yields sufficiently small interpolation errors. Notably, we uncover the possibility of extracting reconstruction methods from a trained artificial neural network (ANN). To gauge the impact of accumulated interpolation errors on solution quality, we conduct comprehensive analyses on four benchmark problems. Our results demonstrate that with a data set of sufficient size, the accumulated interpolation error becomes negligible, rendering the solution reconstruction by interpolating the extracted data set both accurate and cost-effective. The implications of our findings hold substantial promise for enhancing the efficiency and efficacy of reconstruction methods.

由于其固有的高维性，重建方法的开发面临着相当大的挑战。本研究提出了一种创新的降维方法，旨在通过对流动变量进行归一化来缓解这些挑战。通过研究，我们证明了一种专为四点模版设计的重构方法可以有效地用六个二维函数来表示，该方法与非结构网格兼容。这一重要见解使我们能够设计出一种可视化技术，利用单一等高线图来表示重建方法。此外，我们还确定了单个数据集可充分代表重建方法，从而通过数据集插值促进解的重建。通过仔细评估插值误差，合理大小的数据集可产生足够小的插值误差。值得注意的是，我们发现了从训练有素的人工神经网络（ANN）中提取重构方法的可能性。为了衡量累积插值误差对求解质量的影响，我们对四个基准问题进行了全面分析。我们的结果表明，只要数据集足够大，累积插值误差就可以忽略不计，从而使通过对提取的数据集进行插值来重构解决方案既准确又经济。我们的研究结果为提高重构方法的效率和效力带来了巨大希望。

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引用次数: 0