Subjects

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Mathematical Modelling in Physics 1 - NMOD104

Title:	Matematické modelování ve fyzice 1
Guaranteed by:	Department of Numerical Mathematics (32-KNM)
Faculty:	Faculty of Mathematics and Physics
Actual:	from 2018
Semester:	winter
E-Credits:	3
Hours per week, examination:	winter 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:	doc. RNDr. Jiří Felcman, CSc.
Classification:	Mathematics > Mathematical Modeling in Physics
Incompatibility :	NMNM334
Is co-requisite for:	NMOD204
In complex interchangeability with:	NMNM334

Opinion survey results Examination dates Schedule Noticeboard

Annotation -

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

The subject of this course is to model some important processes in physics, technology and environment. This means the derivation of the basic equations of elasticity and fluid dynamics. Further, the porous media flows and the propagation of pollutions in fluids are modelled. Also some basic simplified but technically relevant models are derived from these equations and their solution is presented.

Aim of the course -

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

To give a 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-Plastic 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)

Derivation of equations describing the flow:

Basic concepts of fluids, method of description of their motion, the transport theorem, basic physical laws (conservation of mass, mmomentum a nd energy) and their formulation in the form of partial differential equations, constitutive and rheological relations, equations of motion of general fluids, Euler and Navier-Stokes equations, basic cocepts of thermodynamics, laws of thermodynamics.

Formulation of boundary value problems of the theory of elasticity:

Stress tensor, conditions of equilibrium, finite strain tensor, small strain tensor, tensile test, generalized Hook's law, , Lamé and Beltrami-Michell equations, basic boundary value problems of elasticity.

Entry requirements -

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

basic knowledge from calculus