Czech

Not applicable.

Institute of Water Structures (VST-VST)

The result of the tuition is ability of students to deal with the problems of mathematical modelling in water management. After finishing the course, the student will be able:
- Explain the basic concepts of mathematical modeling
- Describe the basic equations of water flow - Navier-Stokes equations
- Explain the issue of turbulent flow
- Solve problems of water flow in 1D, 2D and 3D using analytical and numerical methods

Mathematics, Hydraulics, Hydrology, Soil Mechanics.

Hydroinformatics.

Course lectures are supplemented by presentations of mathematical and physical research on the faculty.

Successful conclusion of the course requires the completion of exercises with the granting of credit from the course, compliance with computing and conceptual part of the written test and the actual examination.

1st Introduction to problematic of mathematical modelling. Governing equations of fluid mechanics.
2 to 3 Modelling of turbulent flow.
4 to 5 Free surface flow (1D, 2D, hydraulic jump, sewer systems – aims, data, models).
6th Flow in pressure systems (aims, data, models).
7th Ground water flow problems (aims, data, models).
8th Modelling of advection and dispersion of matter – water quality in river networks and sewer systems (data, models, optimalization of WWTP costs).
9th Reliability of water structures (data, models).
10th Analytical and numerical solutions.

Not applicable.

The aim of the course is to acquaint students with principles of mathematical modeling. The students will obtain knowledge about models of flow of water and water.

Extent and forms are specified by guarantor’s regulation updated for every academic year.

It is possible collaboration on research projects in the field of numerical modelling in water management.

Not applicable.

WILCOX, David C.: Turbulence Modeling for CFD. DCW Industries, Inc., 1994. ISBN 0-9636051-0-0. (EN)

HAVLÍK, V., INGEDULD, P., VANĚČEK, S., ZEMAN, E.: Matematické modelování neustáleného proudění. ČVUT Praha, 1992. (CS)
CHUNG, T.J.: Computational Fluid Dynamics. Cambridge University Press, 2002. ISBN 0 521 59416 2. (EN)
ŘÍHA, Jaromír et al.: Matematické modelování hydrodynamických a disperzních jevů. PC-DIR Brno, 1997. ISBN 80-214-0827-8. (CS)