Course Code: bem
Duration: 7 hours
Prerequisites:
  • 向量微積分的基礎知識
  • 理解常微分方
  • 程和偏微分方程
  • 瞭解複雜變數
  • Programming 任何語言的經驗
Overview:

BEM(邊界元法)是一種用於解決一系列工程和物理問題的數值計算方法和設計技術。 BEM是FEM(有限元方法)的有前途的替代方案,因為它繞過了對整個空間的3D有限元網格的需求。

在這個以講師為主導的現場培訓中,參與者將學習使用BEM的理論和好處,因為他們將BEM技術應用於解決與復雜三維結構相關的工程設計問題。 BEM背後的數學概念在整個培訓過程中作為編碼練習進行了解釋和應用。

聽眾

  • 開發商
  • 工程師

課程形式

  • 部分講座,部分討論,練習和繁重的實踐練習
Course Outline:

介紹

  • 邊界 Elements 與有限 Elements

邊界 Element 如何與計算機輔助工程 (CAE) 和集成工程軟體集成

連續 Elements、不連續 Elements 和表面離散化

通過網格再生實現多功能性

案例研究:曲軸的離散化

設置開發環境

BEM 的 Mathematical 基礎概述

二維拉普拉斯方程 -- 求解簡單邊界值問題

非連續線性 Elements -- 改進近似

二維 HelmHoltz 型方程 -- 擴展分析

二維擴散方程

格林對潛在問題的函數

分析三維問題

分析應力和磁通濃度問題

分析扭轉、擴散、滲流、流體流動和靜電

與有限 Element 和混合方法的組合

乾淨代碼的重要性

提高計算效能(並行計算和向量計算)

閉幕致辭

Sites Published:

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