Course detail

Mathematical modelling in water management

FAST-CR05Acad. year: 2011/2012

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.

Language of instruction

Czech

Number of ECTS credits

5

Mode of study

Not applicable.

Guarantor

prof. Ing. Jan Jandora, Ph.D.

Department

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.

Prerequisites

Mathematics (1)-(3), Hydraulics I. and II., Hydrology, Soil Mechanics

Co-requisites

Not applicable.

Planned learning activities and teaching methods

Not applicable.

Assesment methods and criteria linked to learning outcomes

Requirements for successful completion of the subject are specified by guarantor’s regulation updated for every academic year.

Course curriculum

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

Work placements

Not applicable.

Aims

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.

Recommended optional programme components

Not applicable.

Prerequisites and corequisites

Not applicable.

Basic literature

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

Recommended reading

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)

Classification of course in study plans

  • Programme N-P-E-SI Master's

    branch V , 2 year of study, winter semester, compulsory

  • Programme N-P-C-SI Master's

    branch V , 2 year of study, winter semester, compulsory

  • Programme N-K-C-SI Master's

    branch V , 2 year of study, winter semester, compulsory

Type of course unit

 

Lecture

26 hod., optionally

Teacher / Lecturer

prof. Ing. Jan Jandora, Ph.D.

Exercise

26 hod., compulsory

Teacher / Lecturer

prof. Ing. Jan Jandora, Ph.D.