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Finite Volume Method for Compressible Flows - NMNV621

Title:	Metoda konečných objemů pro stlačitelné proudění
Guaranteed by:	Department of Numerical Mathematics (32-KNM)
Faculty:	Faculty of Mathematics and Physics
Actual:	from 2022
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, English
Teaching methods:	full-time
Teaching methods:	full-time
Note:	enabled for web enrollment

Guarantor:	doc. RNDr. Jiří Felcman, CSc.
Class:	DS, vědecko - technické výpočty
Classification:	Mathematics > Numerical Analysis
Incompatibility :	NNUM070
Interchangeability :	NNUM070
Is interchangeable with:	NNUM070

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Annotation -

Last update: G_M (07.05.2014)

The subject of this course is to model the compressible flow using the finite volume method. This means the derivation of the basic equations of fluid dynamics and their discretization. The construction of the three-dimensional finite volume scheme is described. The numerical solution of the continuous problem is presented.

Aim of the course -

Last update: G_M (07.05.2014)

The course gives students a knowledge of various aspects of the finite volume method for the numerical solution of the Euler and Navier-Stokes equations.

Course completion requirements -

Last update: doc. RNDr. Jiří Felcman, CSc. (07.06.2019)

Written and oral exam

Literature - Czech

Last update: G_M (07.05.2014)

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

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

Teaching methods -

Last update: G_M (07.05.2014)

Lectures in a lecture hall.

Requirements to the exam -

Last update: G_M (07.05.2014)

Examination according to the syllabus.

Syllabus -

Last update: G_M (07.05.2014)

Governing equations and relations of fluid dynamic: description of the flow, the transport theorem, the continuity equation, the equations of motion, the stress tensor, the Euler and Navier-Stokes equations, the energy equation, thermodynamical relations

Mathematical theory of compressible flow: the Euler equations, Properties of the Euler equations, Cauchy problem, boundary conditions, weak solution

Finite volume method for the Euler equations: finite volume mesh, derivation of a general finite volume scheme, properties of the numerical flux, construction of some numerical fluxes, the Godunov method, Riemann solver

Entry requirements -

Last update: G_M (07.05.2014)

There are no special entry requirements.