• Pravděpodobně máte vypnutý JavaScript. Některé funkce portálu nebudou funkční.

# Course detail

## Mathematical models in hydrodynamic

Course unit code: FAST-CR51
Type of course unit: optional
Level of course unit: Master's (2nd cycle)
Year of study: 1
Semester: summer
Number of ECTS credits:
 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.
 Mode of delivery: 90 % face-to-face, 10 % distance learning
 Prerequisites: Mathematics, Hydraulics, Statics, Strain and stress analysis
 Co-requisites: n. a.
 Recommended optional programme components: n. a.
 Course contents (annotation): Introduction to mathematical modelling of hydrodynamic processes (classification of hydrodynamic tasks, initial and boundary problems) Governing equations of fluid mechanics (conservation laws, momentum law, equations of state) Laminar and turbulent flow (mathematical formulation, Navier-Stokes equations, turbulent modelling) Shallow water flow modelling (mathematical formulation, applied turbulent models) 1D free surface flow modelling (mathematical formulation, flow in sewer systems, open channel flow) Pressure systems flow in 1D (mathematical formulation, models of steady pressure flow in pipe systems) Modelling of advection and dispersion of matter (mathematical formulation, steady and unsteady models) Static of water structures (plane stress, plane deformation) Direct and indirect modelling (direct and inverse problems)
 Recommended or required reading: Bear, J. - Verruijt, V.: Modelling Groundwater Flow and Pollution. Elsevier, Amsterdam, 1987. (EN)Havlík, Ingeduld, Vaněček, Zeman: Matematické modelování neustáleného proudění. ČVUT Praha, 1992. (CS)Říha a kol.: Matematické modelování hydrodynamických a disperzních jevů. PCDIR Brno, 1997. (CS)
 Planned learning activities and teaching methods: n. a.
 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.
 Language of instruction: Czech
 Work placements: n. a.

Type of course unit:
Lecture: 26 hours, optionally prof. Ing. Jaromír Říha, CSc. 26 hours, compulsory prof. Ing. Jaromír Říha, CSc.