Course Details
Mathematical Modeling in Water Management
Academic Year 2024/25
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.
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
Institute
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.
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.
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.
Offered to foreign students
Not to offer
Course on BUT site
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.