Course detail
Modeling in Water Management
FAST-CR051Acad. year: 2020/2021
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.
Supervisor
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.
Recommended or required reading
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 N-P-E-SI (N) Master's
branch V , 1. year of study, summer semester, 5 credits, compulsory-optional
- Programme N-K-C-SI (N) Master's
branch V , 1. year of study, summer semester, 5 credits, compulsory-optional
- Programme N-P-C-SI (N) Master's
branch V , 1. year of study, summer semester, 5 credits, compulsory-optional