Mathematical Modelling in Physics 2 - NMOD204
Title: Matematické modelování ve fyzice 2
Guaranteed by: Department of Numerical Mathematics (32-KNM)
Faculty: Faculty of Mathematics and Physics
Actual: from 2018
Semester: summer
E-Credits: 3
Hours per week, examination: summer s.:2/0, Ex [HT]
Capacity: unlimited
Min. number of students: unlimited
4EU+: no
Virtual mobility / capacity: no
State of the course: cancelled
Language: Czech
Teaching methods: full-time
Guarantor: prof. RNDr. Miloslav Feistauer, DrSc., dr. h. c.
Classification: Mathematics > Mathematical Modeling in Physics
Co-requisite : NMOD104
Incompatibility : NMNM334
Is incompatible with: NMNM334
In complex interchangeability with: NMNM334
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Annotation -
The course is concerned with the derivation of mathematical models describing some technical and physical structures and processes.
Last update: T_KNM (06.04.2006)
Aim of the course -

To give the knowledge of some mathematical models of physical processes

Last update: FEIST/MFF.CUNI.CZ (28.04.2008)
Literature -

Feistauer M.:Mathematical Methods in Fluid Dynamics, Longman Scientific-Technical, Harlow, l993

Nečas J.,Hlaváček I.: Mathematical Theory of Elastic and Elastico-Plasic Bodies, Elsevier, Amsterdam, 1981

Last update: T_KNM (16.05.2008)
Teaching methods -

Lectures in a lecture hall.

Last update: T_KNM (16.05.2008)
Requirements to the exam -

Examination according to the syllabus.

Last update: T_KNM (16.05.2008)
Syllabus -

Modelling of inviscid flow:

Inviscid irrotational flow, velocity potential, Bernoulli equation, flow past an airfoil, force acting on the airfoil

Porous media flow:

Conservation of mass in domains with sources, Darcy law, formulation of the porous media flow problem in materials with discontinuous permeability, weak formulation and finite element solution.

Transport processes:

Propagation of alloys in a moving fluid, convection-diffusion processes, applications in ecology.

Last update: T_KNM (16.05.2008)
Entry requirements -

Basic knowledge from calculus

Last update: FEIST/MFF.CUNI.CZ (28.04.2008)