Course detail

Modeling in Water Management

FAST-NRB014Acad. year: 2024/2025

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.

Language of instruction

Czech

Number of ECTS credits

5

Mode of study

Not applicable.

Guarantor

prof. Ing. Jaromír Říha, CSc.

Department

Institute of Water Structures (VST)

Entry knowledge

Mathematics, Hydraulics, Statics, Strain and stress analysis

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 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.

Study aids

Not applicable.

Prerequisites and corequisites

Not applicable.

Basic literature

Not applicable.

Recommended reading

Not applicable.

Classification of course in study plans

  • Programme NPC-SIV Master's 1 year of study, summer semester, compulsory-optional

Type of course unit

 

Lecture

26 hod., optionally

Teacher / Lecturer

prof. Ing. Jaromír Říha, CSc.

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

26 hod., compulsory

Teacher / Lecturer

Ing. Miroslav Špano, Ph.D.

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).