Subjects

Your browser does not support JavaScript, or its support is disabled. Some features may not be available.

Mathematical Methods in Fluid Mechanics for Ph.D. Students 1 - NMOD001

Title:	Matematické metody v mechanice tekutin pro doktorandy 1
Guaranteed by:	Department of Numerical Mathematics (32-KNM)
Faculty:	Faculty of Mathematics and Physics
Actual:	from 2014 to 2017
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:	not taught
Language:	Czech
Teaching methods:	full-time
Teaching methods:	full-time

Guarantor:	prof. RNDr. Miloslav Feistauer, DrSc., dr. h. c.
Class:	DS, vědecko - technické výpočty
Classification:	Mathematics > Mathematical Modeling in Physics, Numerical Analysis

Opinion survey results Examination dates Schedule Noticeboard

Annotation -

Last update: T_MUUK (22.11.2000)

The subject of this course is the treatment of mathematical and numerical methods and techniques used in dynamics of fluids and gases. The following topics are included: the existence and uniqueness of the solution of the incompressible Navier-Stokes equations, their numerical solution by the finite element method, the basic theoretical results for the compressible Euler equations and nonlinear hyperbolic systems of conservation laws and their finite volume numerical approximations, the theory of approximate Riemann solvers.

Aim of the course -

Last update: FEIST/MFF.CUNI.CZ (03.04.2008)

The course will give the student important knowledge in the area of mathematical methods in fluid dynamics.

Literature -

Last update: T_KNM (19.05.2008)

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

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: prof. RNDr. Miloslav Feistauer, DrSc., dr. h. c. (15.03.2007)

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.

Inviscid compressible flow, the Euler equations describing the inviscid flow, nonlinear hyperbolic systems of first order, their basic properties, weak solutions, Riemann problem and its solution, the finite volume method for the numerical solution of the Euler equations and nonlinear hyperbolic systems.

Entry requirements -

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

basic knowledge in mathematical and functional analysis and numerical mathematics