Course Details
Modeling in Water Management
Academic Year 2025/26
NRB014 course is part of 1 study plan
NPC-SIV Summer Semester 1st year
Introduction to modelling of processes in water management (classification of problems, initial and boundary problems, definition of the model, state variables).
Direct and indirect modelling (direct and inverse problems), principles of continuity and determinism, philosophy of stochastic modelling.
Basic equations of fluid and structural mechanics (mass conservation, momentum and energy conservation, equations of state).
Strain-stress problems in water management, local and global stability, limit states. Principle of virtual works, finite elements method, thermal stress.
Selected problems of seepage hydraulics, relaxation method, transient flow, phreatic surface solutions.
Dam break modelling due to overtopping and internal erosion.
Modelling of advection and dispersion of matter (mathematical formulation, steady and unsteady models). Balance and dynamic models.
Direct and indirect modelling (direct and inverse problems), principles of continuity and determinism, philosophy of stochastic modelling.
Basic equations of fluid and structural mechanics (mass conservation, momentum and energy conservation, equations of state).
Strain-stress problems in water management, local and global stability, limit states. Principle of virtual works, finite elements method, thermal stress.
Selected problems of seepage hydraulics, relaxation method, transient flow, phreatic surface solutions.
Dam break modelling due to overtopping and internal erosion.
Modelling of advection and dispersion of matter (mathematical formulation, steady and unsteady models). Balance and dynamic models.
Credits
5 credits
Language of instruction
Czech
Semester
summer
Course Guarantor
Institute
Forms and criteria of assessment
course-unit credit and examination
Entry Knowledge
Mathematics, Hydraulics, Statics, Strain and stress analysis
Aims
The aim is to classify hydrodynamical problems in terms of mathematical modelling, to demonstrate approaches at deriving governing equations in fluid mechanics (mass and energy balance, momentum conservation, equations of state) and to specify boundary and initial conditions. The course deals with laminar and turbulent modelling, open channel and floodplain hydraulics and groundwater flow.
Following knowledge:
1. Classification of problems, initial and boundary problems).
2-3. Conservation laws, momentum equation, equations of state.
4-5. Derivation of governing equation for simplifying assumptions (1D, 2D, steady state).
6. Laminar and turbulent flow.
7. Shallow water equation.
8. Free surface flow problems.
9. Problems of water flow in pressure systems.
10-11. Advection and dispersion of matter in water.
12. Sediment load transport, dam breaking caused by overtoping.
13. Modelling stability of hydro technical structures. Direct and inverse modelling.
Following knowledge:
1. Classification of problems, initial and boundary problems).
2-3. Conservation laws, momentum equation, equations of state.
4-5. Derivation of governing equation for simplifying assumptions (1D, 2D, steady state).
6. Laminar and turbulent flow.
7. Shallow water equation.
8. Free surface flow problems.
9. Problems of water flow in pressure systems.
10-11. Advection and dispersion of matter in water.
12. Sediment load transport, dam breaking caused by overtoping.
13. Modelling stability of hydro technical structures. Direct and inverse modelling.
Offered to foreign students
Not to offer
Course on BUT site
Lecture
13 weeks, 2 hours/week, elective
Syllabus
- 1. Introduction (classification of problems, initial and boundary problems).
- 2.–3. Conservation laws, momentum equation, equations of state.
- 4.–5. Derivation of governing equation for simplifying assumptions.
- 6.–7. Strain-stress analysis of hydro-structures.
- 8.–9. Modelling in seepage hydraulics.
- 10.–11. Dam break simulations.
- 12.–13. Pollution transport in open channels modelling.
Exercise
13 weeks, 2 hours/week, compulsory
Syllabus
- 1.–2. Introduction to ANSYS code.
- 3.–5. Stress and strain analysis of hydrstructures.
- 6.–7. Unsteady confined groundwater flow below hydraulic structures.
- 8. Groundwater flow – problems with phreatic surface.
- 9.–10. Dam breaching due to piping and overtopping.
- 11.–13. Water quality modelling (dynamic, balance).