Course detail

Mathematical modelling in water management

FAST-CR05Acad. year: 2020/2021

Common bases for mathematical model creation.
Modelling of water flow in water structures.
Modelling of water flow in river network and floodplains.
Modelling of water flow in sewer system and water supply network.
Ground water flow modelling.
Modelling of water quality in river network and sewer systems.
Reliability of water structures.


Institute of Water Structures (VST-VST)

Learning outcomes of the course unit

Students complete goal of this course which include getting up principles of mathematical modelling in water management. Also students get experience in mathematical modelling through term projects.


Mathematics, Hydraulics, Hydrology, Soil Mechanics.


Not applicable.

Recommended optional programme components

Not applicable.

Recommended or required reading

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)
ŘÍHA, Jaromír et al.: Matematické modelování hydrodynamických a disperzních jevů. PC-DIR Brno, 1997. ISBN 80-214-0827-8. (CS)
CHUNG, T.J.: Computational Fluid Dynamics. Cambridge University Press, 2002. ISBN 0 521 59416 2. (EN)

Planned learning activities and teaching methods

Not applicable.

Assesment methods and criteria linked to learning outcomes

Not applicable.

Language of instruction


Work placements

Not applicable.

Course curriculum

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.


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.

Specification of controlled education, way of implementation and compensation for absences

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

Type of course unit



26 hours, optionally

Teacher / Lecturer


26 hours, compulsory

Teacher / Lecturer