Course Details

Mathematical Modeling in Water Management

Academic Year 2023/24

NRA017 course is part of 1 study plan

​ NPC-SIV Winter Semester 2nd year

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.

Credits

6 credits

Language of instruction

Czech

Semester

winter

Course Guarantor

prof. Ing. Jan Jandora, Ph.D.

Institute

Institute of Water Structures

Forms and criteria of assessment

course-unit credit and examination

Entry Knowledge

Mathematics, Hydraulics, Hydrology, Soil Mechanics.

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.
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.

Basic Literature

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

Recommended Reading

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.
KOZUBKOVÁ, Milada. Modelování proudění tekutin. FLUENT, CFX. Ostrava: Vysoká škola báňská - Technická univerzita, 2008. ISBN 978-80-248-1913-6.
HAVLÍK, Vladimír, Petr INGEDULD, Stanislav VANĚČEK a Evžen ZEMAN. Matematické modelování neustáleného proudění. ČVUT Praha, 1992.
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.
MUNSON, Bruce R. a kol. Fundamentals of Fluid Mechanics. New York: John Wiley&Sons, 2013. ISBN 978-1-118-11613-5.
BATES, Paul D., Stuart N. LANE, Robert I. FERGUSON. Computational Fluid Dynamics. Applications in Environmental Hydraulics. Wiley, 2005. ISBN 978-0470843598.
CHUNG, T. J. Computational Fluid Dynamics. New York: Cambridge University Press, 2010. ISBN 978-0-521-76969-3.
BEAR, Jacob a Arnold VERRUIJT. Modelling Groundwater Flow and Pollution. Elsevier, Amsterdam, 1997. ISBN 978-94-009-3379-8.

Syllabus

1.–2. Introduction to problematic of mathematical modelling. Governing equations of fluid mechanics.
3.–5. Modelling of turbulent flow.
6.–7. Free surface flow (1D, 2D, hydraulic jump, sewer systems – aims, data, models).
8. Reliability of water structures (data, models).
9.–10. Analytical and numerical solutions.

Prerequisites

Mathematics, Hydraulics, Hydrology, Soil Mechanics.

Specification of controlled instruction, the form of instruction, and the form of compensation of the absences

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

Offered to foreign students

Not to offer

Course on BUT site

https://www.vut.cz/en/students/courses/detail/271176

Lecture

13 weeks, 2 hours/week, elective

Syllabus

1.–2. Introduction to problematic of mathematical modelling. Governing equations of fluid mechanics.

3.–5. Modelling of turbulent flow.

6.–7. Free surface flow (1D, 2D, hydraulic jump, sewer systems – aims, data, models).

8. Reliability of water structures (data, models).

9.–10. Analytical and numerical solutions.

Exercise

13 weeks, 2 hours/week, compulsory

Syllabus

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

2.–5. Modelling of ideal flow and laminar flow.

6.–9. Modelling of turbulent flow.

10. Presentation of the results of modeling.