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首页> 外文期刊>Computers & mathematics with applications >GeoMFree~(3D): A package of meshfree local Radial Point Interpolation Method (RPIM) for geomechanics
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GeoMFree~(3D): A package of meshfree local Radial Point Interpolation Method (RPIM) for geomechanics

机译：GeoMfree〜（3D）：用于地质力学的网格免费局部径向点插值方法（RPIM）包

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摘要

Mesh-based numerical methods such as the Finite Element Method (FEM) and Finite Difference Method (FDM) are widely used in various fields of science and engineering. However, the shortcomings of mesh-based methods are becoming increasingly obvious mainly due to the distorted or broken elements when analyzing the problems of large deformation or crack propagation. To overcome the above problems, meshfree methods such as the Meshless Local Petrov-Galerkin (MLPG) and Radial Point Interpolation Method (RPIM) were proposed, which can eliminate or partially eliminate the difficulties triggered by mesh-dependence. In geotechnics, the numerical modeling of deformations and failures of soil and rock masses is one of the most important approaches to understand and prevent geohazards, such as landslides and ground subsidence. In this paper, a local RPIM-based meshfree software package GeoMFree(3D) is specifically developed for analyzing the deformations and failures of soil and rock masses. To enhance the computing capability of GeoMFree(3D), (1) effective memory storage strategies are adopted to solve the memory requirement bottleneck; and (2) parallel computing strategies are utilized and heterogeneously implemented on multi-core CPU and many-core GPU to improve the computational efficiency. To demonstrate the performance of GeoMFree(3D), three simple verification examples and one application case are presented in this paper. The verification examples indicate that the computational accuracy and efficiency of the package GeoMFree(3D) is acceptable. Furthermore, the application case indicates that GeoMFree(3D) is capable of analyzing the displacements of complex rock slopes. GeoMFree(3D) is currently under intensive development, plans for future work on the development of GeoMFree(3D) are also introduced. (C) 2020 The Author(s). Published by Elsevier Ltd.
机译：基于网格的数值方法，例如有限元方法（FEM）和有限差分方法（FDM）广泛应用于各种科学和工程领域。然而，基于网格的方法的缺点通常是显而易见的，主要是由于在分析大变形或裂纹传播问题时的扭曲或破裂的元素。为了克服上述问题，提出了诸如无丝毫本地Petrov-Galerkin（MLPG）和径向点插值方法（RPIM）的网状方法，其可以消除或部分地消除因网格依赖性触发的困难。在岩土科学中，土壤和岩石群体变形和失败的数值建模是了解和预防地山脉和地下沉降等最重要的方法之一。在本文中，专门开发了一种基于局部RPIM的网格免费软件包GeoMFree（3D），用于分析土壤和岩体的变形和故障。为了提高GeoMfree（3D）的计算能力，（1）采用有效的内存存储策略来解决内存要求瓶颈; （2）并行计算策略在多核CPU和许多核心GPU上使用和异构地实现，以提高计算效率。为了展示GeoMfree（3D）的性能，本文提出了三个简单的验证示例和一个应用案例。验证示例表明，封装GeoMfree（3D）的计算准确性和效率是可接受的。此外，应用壳体指示GeomFree（3D）能够分析复杂岩石斜面的位移。 GeoMfree（3D）目前正在密集开发中，还介绍了未来对GeoMFREE（3D）开发的工作的计划。 （c）2020提交人。 elsevier有限公司出版

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