Course detail

# Modeling in Water Management

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.

Department

Institute of Water Structures (VST-VST)

Learning outcomes of the course unit

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.

Prerequisites

Mathematics, Hydraulics, Statics, Strain and stress analysis

Co-requisites

Not applicable.

Recommended optional programme components

Not applicable.

Not applicable.

Planned learning activities and teaching methods

Not applicable.

Assesment methods and criteria linked to learning outcomes

Not applicable.

Language of instruction

Czech

Work placements

Not applicable.

Course curriculum

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.

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.

Specification of controlled education, way of implementation and compensation for absences

Extent and forms are specified by guarantor’s regulation updated for every academic year.

Classification of course in study plans

• Programme NPC-SIV Master's, 1. year of study, summer semester, 5 credits, compulsory-optional

#### Type of course unit

Lecture

26 hours, optionally

Teacher / Lecturer

Exercise

26 hours, compulsory

Teacher / Lecturer