Course detail
Mathematical Modeling in Water Management
FAST-NRA017Acad. year: 2025/2026
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
Department
Entry knowledge
Mathematics, Hydraulics, Hydrology, Soil Mechanics.
Rules for evaluation and completion of the course
Extent and forms are specified by guarantor’s regulation updated for every academic year.
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.
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.
Study aids
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.
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 NPC-SIV Master's 2 year of study, winter semester, compulsory
Type of course unit
Lecture
26 hod., optionally
Teacher / Lecturer
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
26 hod., compulsory
Teacher / Lecturer
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.