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CZECH TECHNICAL UNIVERSITY IN PRAGUE
STUDY PLANS
2020/2021

Advanced Numerical Methods in Coupled Multiphysics Problems

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Code Completion Credits Range Language
D32PNM_EN ZK 2P English
Lecturer:
Jaroslav Kruis (guarantor)
Tutor:
Supervisor:
Department of Mechanics
Synopsis:

The aim of the course is to solve coupled multiphysics problems, e.g. thermoelasticity, coupled heat and moisture transfer, thermo-hydro-mechanical problem, electordiffusion, etc. First, the balance equations together with constitutive laws will be summarized for selected coupled multiphysics problems. Discretization in space and time (Galerkin-Bubnov method, Galerkin-Petrov method, generalized trapezoidal rule, etc.) will follow. Solution of systems of linear algebraic equations obtained after discretization (the use of symmetry and sparsity, direct methods, iterative methods). Solution of systems of nonlinear algebraic equations (Newton-Raphson method, the arc-length method). Utilization of parallel computers for solution of large problems based on domain decomposition methods.

Requirements:
Syllabus of lectures:
Syllabus of tutorials:
Study Objective:
Study materials:

Lewis, R.W. and Schrefler, B.A.: The Finite Element Method in the Static and Dynamic Deformation and Consolidation of Porous Media. John Wiley & Sons, Chichester, England, 2000.

Qun Zhang Song Cen, Multiphysics Modeling: Numerical Methods and Engineering Applications, 1st Edition ISBN: 9780124077096, Academic Press, 2015.

Idelsohn S.R. ed. Numerical Simulations of Coupled Problems in Engineering, Springer, 2019.

Note:
Time-table for winter semester 2020/2021:
Time-table is not available yet
Time-table for summer semester 2020/2021:
Time-table is not available yet
The course is a part of the following study plans:
Data valid to 2020-10-25
For updated information see http://bilakniha.cvut.cz/en/predmet6498206.html