Objective of the course – aims of the course unit:|
The aim of the course is to acquaint students with principles of mathematical modeling. The students will obtain knowledge about models of flow of water and water.
Objective of the course – learning outcomes and competences:|
Students complete goal of this course which include getting up principles of mathematical modelling in water management. Also students get experience in mathematical modelling through term projects.
Mathematics (1)-(3), Hydraulics I. and II., Hydrology, Soil Mechanics
Course contents (annotation):|
Common bases for mathematical model creation.
Modelling of water flow in water structures.
Modelling of water flow in river network and floodplains.
Modelling of water flow in sewer system and water supply network.
Ground water flow modelling.
Modelling of water quality in river network and sewer systems.
Reliability of water structures.
Teaching methods and criteria:|
Assesment methods and criteria linked to learning outcomes:|
Requirements for successful completion of the subject are specified by guarantor’s regulation updated for every academic year.
1. Introduction to problematic of mathematical modelling.
2-4. Governing equations of fluid mechanics.
5-6. Modelling of turbulent flow.
7-8. Free surface flow (1D, 2D, hydraulic jump, sewer systems –
aims, data, models).
9. Flow in pressure systems (aims, data, models).
10. Ground water flow problems (aims, data, models)
11. Modelling of advection and dispersion of matter – water
quality in river networks and sewer systems (data, models,
optimalization of WWTP costs)
12. Reliability of water structures (data, models).
13. Analytical and numerical solutions.
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.
Havlík, Ingeduld, Vaněček, Zeman: Matematické modelování neustáleného proudění. ČVUT Praha 1992
Říha a kol.: Matematické modelování hydrodynamických a disperzních jevů. Akademické nakladatelství CERM, s.r.o. Brno 1997
Wilcox, D. C.: Turbulence Modeling for CFD. DCW Industries, Inc. 1994