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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
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

Opinion survey results Examination dates Schedule Noticeboard

Annotation -

Last update: T_KNM (06.04.2006)

The course is concerned with the derivation of mathematical models describing some technical and physical structures and processes.

Aim of the course -

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

To give the knowledge of some mathematical models of physical processes

Literature -

Last update: T_KNM (16.05.2008)

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

Teaching methods -

Last update: T_KNM (16.05.2008)

Lectures in a lecture hall.

Requirements to the exam -

Last update: T_KNM (16.05.2008)

Examination according to the syllabus.

Syllabus -

Last update: T_KNM (16.05.2008)

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.

Entry requirements -

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

Basic knowledge from calculus