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Course, academic year 2023/2024
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Mathematical Methods in Fluid Mechanics 1 - NMOD101
Title: Matematické metody v mechanice tekutin 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: prof. RNDr. Miloslav Feistauer, DrSc., dr. h. c.
Classification: Mathematics > Mathematical Modeling in Physics, Numerical Analysis
Interchangeability : NMNV537
Is incompatible with: NMNV537
Is interchangeable with: NMNV537
Annotation -
Last update: FEIST/MFF.CUNI.CZ (28.04.2008)
The course is concerned with mathematical models describing incompressible viscous flow, their mathematical theory and numerical solution.
Aim of the course -
Last update: FEIST/MFF.CUNI.CZ (28.04.2008)

To give the knowledge of mathematical methods applied in fluid dynamics

Literature -
Last update: T_KNM (19.05.2008)

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

Feistauer M.,Felcman J., Straškraba I.: Mathematical and Computational Methods for Compressible Flow. Oxford University Press, Oxford, 2003

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 (19.05.2008)

Basic equations and relations of fluid dynamics, Navier-Stokes equations, function spaces, stationary Stokes problem, weak formulation, existence and uniqueness of a weak solution, stationary Navier-Stokes problem, existence and uniqueness of a weak solution, Oseen problem, nonstationary Navier-Stokes equations, finite element methods for the numerical solution of viscous incompressible flow.

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

basic knowledge of mathematical and functional analysis and numerical mathematics

 
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