﻿ 上海交通大学-电子信息与电气工程学院-English

EE26008 Introduction of Multi-physics and FEM analysis

Introduction of Multi-physics and FEM analysis（英文课）

Multi-physics coupling is now a common phenomenon in physics study, such as the problems of coupling the structure stress, electromagnetic field, heat transfer, acoustic wave, and light wave. New requirements are put forward for our simulation computing capability. At the same time, the multi-subjects cross is also the source of the high level achievements of the related subjects in recent years. The teaching aim of this course is to make students not only to deal with the simulation of the traditional single physical field, but also to further develop the ability of the students to analyze the multi-physics coupling problem. This course begins with the theory of finite element analysis, analyzes the single field phenomenon, and then simulates the coupling of multi-physics problems, with the emphasis on training students to use simulation software to simulate and calculate the complex multi-physics issues. Finally, students need to select the topics and establish a model. Ideas will be exchanged in the classroom, guiding the students for the future research work.

(1) 1-3 classes: Explain the basis of the finite element, finite difference method (FDM), FDM scientific analysis of one-dimensional linear and non-linear problems, FEM analysis of two-dimensional scientific issues, curve boundary issues. Explain the weighted residual method (WRM), function approximation theory, set of differential equations calculation method, examples of WRM, etc.

(2) 4-6 classes: Explain the finite element method (FEM), typical function approximation, one-dimensional FEM analysis of scientific issues, two-dimensional FEM analysis of scientific problems, the effect of the boundary conditions on the FEM, the application of FEM. Introduce coupled multi-physics finite element software, familiar with the ideas of simulation and methods of operation, introduce multi-physics softwares.

(3) 7-14 classes: Use the thermal, electromagnetic, mechanical sound, etc., single module simulation as an example. Through building models, calculate and analysis the features and applications of each module, then add the comparative analysis of two-dimensional and three-dimensional simulations.

(4) 15-20 classes: The basic ideas and techniques of complex multi-physics field coupling calculation will be introduced, such as use the fiber light thermal stress coupling, structural mechanics and acoustic coupling, electromagnetic and thermal coupled superconducting applications analysis. Introduce the model, the nonlinear analysis of the input variables, multi-field equations, the input variables, extreme nonlinear analysis of superconducting application model.

(5) 21-28 classes: According to their own research direction, student need to choose their own topics and learn to establish a multi-physical analysis model; determine the objectives of the study and model building methods.

(6) 29-32 classes: Report the coursework by each student and the coursework will be reviewed.

Final exam: 50%, according to the lecture content, assessment of students' understanding of the curriculum and the develop ability.

Design report: 50%, according to the research field of students, which aims at a multi-physics coupling problem, show how to establish a multi-physical coupling analysis model.

1. Finite Elements and Approximation，作者：O.C. ZIENKIEWICZ, K. MORGAN (University of Wales, Swansea, UK)，出版社：A Wiley-Interscience Publication John Wiley & Sons

2. COMSOL manualswww.comsol.com

[ 2016-11-24 ]