Course Code: bem
Duration: 7 hours
Prerequisites:
  • 矢量微积分的基础知识
  • 理解常微分方
  • 程和偏微分方程
  • 了解复杂变量
  • Programming 任何语言的经验
Overview:

BEM(边界元法)是一种用于解决一系列工程和物理问题的数值计算方法和设计技术。 BEM是FEM(有限元方法)的有前途的替代方案,因为它绕过了对整个空间的3D有限元网格的需求。

在这个以讲师为主导的现场培训中,参与者将学习使用BEM的理论和好处,因为他们将BEM技术应用于解决与复杂三维结构相关的工程设计问题。 BEM背后的数学概念在整个培训过程中作为编码练习进行了解释和应用。

听众

  • 开发商
  • 工程师

课程形式

  • 部分讲座,部分讨论,练习和繁重的实践练习
Course Outline:

介绍

  • 边界 Elements 与有限 Elements

边界 Element 如何与计算机辅助工程 (CAE) 和集成工程软件集成

连续 Elements、不连续 Elements 和表面离散化

通过网格再生实现多功能性

案例研究:曲轴的离散化

设置开发环境

BEM 的 Mathematical 基础概述

二维拉普拉斯方程 -- 求解简单边界值问题

非连续线性 Elements -- 改进近似

二维 HelmHoltz 型方程 -- 扩展分析

二维扩散方程

格林对潜在问题的函数

分析三维问题

分析应力和磁通浓度问题

分析扭转、扩散、渗流、流体流动和静电

与有限 Element 和混合方法的组合

干净代码的重要性

提高计算性能(并行计算和矢量计算)

闭幕致辞

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