Finite Element Method (FEM) & Comsol Multiphysics Part I: Quasi ...
Finite Element Method (FEM) & Comsol Multiphysics Part I: Quasi ...
Finite Element Method (FEM) & Comsol Multiphysics Part I: Quasi ...
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<strong>Finite</strong> <strong>Element</strong> <strong>Method</strong> (<strong>FEM</strong>) & <strong>Comsol</strong> <strong>Multiphysics</strong><br />
CoFT-1 Vorlesung<br />
<strong>Part</strong> I: <strong>Quasi</strong>-static Fields<br />
A. Rennings<br />
Fr. 06.11.2009, 12:00 - 13:30, BA 349<br />
Nächste Veranstaltungen…<br />
COMSOL-Demo, drei einfache quasi-statische Beispiele<br />
mögliche Termine für CoFT-Lab (ca. 90 min, BA 328)<br />
Mo. AM PM<br />
Di. AM PM<br />
Do. AM PM<br />
Fr. leider nicht möglich, wegen GET-Praktikum<br />
„Kennenlernen“ der COMSOL-Software durch selbstständiges<br />
Durcharbeiten von Tutorials (unter Anleitung!)<br />
2<br />
1
Outline<br />
Objectives and additional Material<br />
3<br />
2
What can be solved using <strong>FEM</strong>?<br />
Static Fields I<br />
5<br />
6<br />
3
Static Fields II<br />
Electrodynamics<br />
7<br />
8<br />
4
What can be simulated using <strong>Comsol</strong>?<br />
What is <strong>FEM</strong> good for?<br />
9<br />
10<br />
5
The <strong>Finite</strong> <strong>Element</strong> <strong>Method</strong><br />
Electrostatic model problem<br />
11<br />
12<br />
6
Trivial example: ideal homogeneous 2D plate capacitor<br />
Matrix equation: 1 st we neglect the essential BCs<br />
13<br />
14<br />
7
Matrix equation: natural BC on all boundaries,<br />
Matrix equation: Forcing the essential BC,<br />
15<br />
16<br />
8
Matrix equation: Forcing the essential BC,<br />
Matrix equation… only 3 unknowns left<br />
17<br />
18<br />
9
Demo 1: Surface charge of a metal cylinder<br />
Potential and total charge<br />
Value of surface integral: 3.109324e-10 [C], Expression: nD_emes, Boundaries: 2, 4, 5<br />
19<br />
20<br />
10
TEM transmission lines (TLs) with homog. material<br />
Demo 2: Square coaxial cable<br />
21<br />
22<br />
11
Demo 2: Characteristic impedance<br />
<strong>Quasi</strong>-TEM TLs with inhomogeneous material<br />
23<br />
24<br />
12
<strong>Quasi</strong>-TEM TLs: alternative approach, if µ = const<br />
Demo 3: Microstrip line<br />
25<br />
26<br />
13
Demo 3: Microstrip line<br />
Lecture on 13.11.2009…<br />
27<br />
28<br />
14
1st CoFT-Lab on COMSOL<br />
29<br />
15
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