Numerical analysis of transport processes 2

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Code Completion Credits Range Language
132NTP2 Z,ZK 5 2P+2C Czech
Department of Mechanics

Numerical analysis of transport processes 2 introduces the most popular numerical methods solving stationary and non-stationary heat and moisture transfer in porous media. It covers finite difference method, finite volume method, boundary element method and finite element method. The main attention is paid to finite element method. The main principles are discussed, e.g. Galerkin's method, spatial and time discretisation, various types of finite elements and approximation functions, numerical integration. Students will practise simple benchmarks and computer implementation.


No prerequisites.

Syllabus of lectures:
Syllabus of tutorials:
Study Objective:

The third level is the goal of study. Students will be able to apply their knowledges in finite element method in practical problems of heat and moisture transfer. The output of the course is a short PC program based on finite element method. This program will be used for simulation of heat transfer throughout an external wall of a real building.

Study materials:

1. Z. Bittnar - J. Šejnoha: Numerické metody mechaniky I a II, ČVUT Praha, 1992

2. K. Rektorys a spol.: Přehled užité matematiky I a II, vydavatelství Prometheus, s.r.o., 1995

3. K. Rektorys: Variační metody v inženýrských problémech a v problémech matematické fyziky, Akademie věd České republiky, 1999

4. R. Černý: Transportní procesy (skriptum), ČVUT Praha, 1993

5. R. Černý: Řešení transportních procesů na počítači (skriptum), ČVUT Praha, 1997

6. O. C. Zienkewicz and R. L. Taylor: The Finite Element Method, Volume 1, The Basis, Fifth Edition, Butterworth-Heinemann, 2000

7. R. W. Lewis, B. Schrefler: The Finite Element Method in the Static and Dynamic Deformation and Consolidaion of Porous Media, Second Edition, John Wiley and Sons Ltd, 2000

8. H. M. Künzel - K. Kiessl: Calculation of Heat and Moisture Transfer in Eposed Buliding Componets, Int. J. Heat Mass Transfer, 40, 159-167, 1997

9. T. Krejčí, T. Nový, L. Sehnoutek and J. Šejnoha: Structure - Subsoil Interaction in view of Transport Processes inPorous Media, CTU Reports 1 Volume 5, 2001

Time-table for winter semester 2020/2021:
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Time-table for summer semester 2020/2021:
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The course is a part of the following study plans:
Data valid to 2020-10-27
For updated information see http://bilakniha.cvut.cz/en/predmet24834805.html