Mathematical modeling of flow

Garant předmětu:

Jaroslav Fořt

Lecturer:

Jaroslav Fořt

Tutor:

Jaroslav Fořt

Supervisor:

Department of Technical Mathematics

Synopsis:

Lectures are focused onto physical and mathematical models for flow of compressible fluid, their numerical solution and interpretation of numerical results.

Requirements:

Syllabus of lectures:

Conservation laws in integral form. Navier-Stokesov, Euler equations, transport equations. Some additional problems. Matematical properties of governing equations.

Rieman problem. Principles of finite volume method. Modern upwind schemes in 1D, higher order extensionsi.

Matematical models of particular flow problems, problem formulations. Examples of technical applications.

Syllabus of tutorials:

Study Objective:

Study materials:

Blazek, J.: Computational Fluid Dynamics: Principles and Applications, 2001, Elsevier.

Dvořák, R., Kozel, K.: Matematické modelování v aerodynamice, 1996, Vydavatelství ČVUT.

Fořt, J., Kozel, K., Fürst, J., Halama, J., Dobeš, J.: Numerická simulace proudění I, 2005, Vydavatelství ČVUT.

Toro, E.F.: Riemann solvers and Numerical Methods for Fluid Dynamics, 1997, Springer.

Le Veque, R.: Finite Volume Methods For Hyperbolic Problems, 2004, Cambridge University Press.

Note:

Time-table for winter semester 2022/2023:

Time-table is not available yet

Time-table for summer semester 2022/2023:

Time-table is not available yet

The course is a part of the following study plans: