Course Details

# Modeling in Water Management

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.

Course Guarantor

Institute

Objective

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.

Knowledge

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.

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.

Prerequisites

Mathematics, Hydraulics, Statics, Strain and stress analysis

Language of instruction

Czech

Credits

5 credits

Semester

summer

Forms and criteria of assessment

course-unit credit and examination

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

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).