Course detail

Mathematical Modeling in Water Management

FAST-CR005Acad. year: 2022/2023

Common bases for mathematical model creation.
Modelling of water flow in water structures.
Modelling of water flow in river network and floodplains.
Reliability of water structures.

Language of instruction

Czech

Number of ECTS credits

6

Mode of study

Not applicable.

Guarantor

prof. Ing. Jan Jandora, Ph.D.

Department

Institute of Water Structures (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, Hydraulics, Hydrology, Soil Mechanics.

Co-requisites

Not applicable.

Planned learning activities and teaching methods

Not applicable.

Assesment methods and criteria linked to learning outcomes

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.

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

JANDORA, Jan. Matematické modelování ve vodním hospodářství. Studijní opora. Brno: FAST VUT, 2010.

Recommended reading

BATES, Paul D., Stuart N. LANE, Robert I. FERGUSON. Computational Fluid Dynamics. Applications in Environmental Hydraulics. Wiley, 2005. ISBN 978-0470843598.
BEAR, Jacob a Arnold VERRUIJT. Modelling Groundwater Flow and Pollution. Elsevier, Amsterdam, 1997. ISBN 978-94-009-3379-8.
BLEJCHAŘ, Tomáš. Turbulence modelového proudění – CFX. Učební text. Ostrava: Vysoká škola báňská – Technická univerzita Ostrava, 2012. ISBN 978-80-248-2606-6.
BOJKO, Marian. 3D proudění – Ansys FLUENT. Učební text. Ostrava: Vysoká škola báňská - Technická univerzita, 2012. ISBN 978-80-248-2607-3.
HAVLÍK, Vladimír, Petr INGEDULD, Stanislav VANĚČEK a Evžen ZEMAN. Matematické modelování neustáleného proudění. ČVUT Praha, 1992.
CHUNG, T. J. Computational Fluid Dynamics. New York: Cambridge University Press, 2010. ISBN 978-0-521-76969-3.
KOZUBKOVÁ, Milada. Modelování proudění tekutin. FLUENT, CFX. Ostrava: Vysoká škola báňská - Technická univerzita, 2008. ISBN 978-80-248-1913-6.
MUNSON, Bruce R. a kol. Fundamentals of Fluid Mechanics. New York: John Wiley&Sons, 2013. ISBN 978-1-118-11613-5.
ŘÍHA, Jaromír a kol. Matematické modelování hydrodynamických a disperzních jevů. Brno: PC-DIR, 1997. ISBN 80-214-0827-8.
WILCOX, David C. Turbulence Modeling for CFD. DCW Industries, Inc., 2006. ISBN 978-1928729082.

Classification of course in study plans

  • 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

  • Programme N-P-E-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.

Syllabus

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.

Exercise

26 hod., compulsory

Teacher / Lecturer

prof. Ing. Jan Jandora, Ph.D.

Syllabus

1st Introduction to problematic of mathematical modelling. Introduction to the software.

2 to 5 Modelling of ideal flow and laminar flow.

6 to 9 Modelling of turbulent flow.

10th Presentation of the results of modeling.