Modeling in Water Management
CR051 course is not part of any study plan
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.
The result is the ability of graduates to classify problems in water management in terms of modelling, to demonstrate approaches at deriving governing equations in water related disciplines (mass and energy balance, momentum conservation, equations of state) and to specify boundary and initial conditions. The course deals with strain-stress problems, seepage hydraulics, dam break modelling and pollution transport in open channels.
Mathematics, Hydraulics, Statics, Strain and stress analysis
Numerical methods, statistics
Planned educational activities and teaching methods
Teaching methods depend on the type of course unit as specified in the article 7 of BUT Rules for Studies and Examinations. The seminars are held in computer laboratory.
Forms and criteria of assessment
100% presence in seminars, exceptionally 2 seminars - apologized, for exam the credit is necessary, for positive evaluation at least partial knowledge in each of 3 questions
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 instruction, the form of instruction, and the form of compensation of the absences
Vymezení kontrolované výuky a způsob jejího provádění stanoví každoročně aktualizovaná vyhláška garanta předmětu.
2 hours/week, 13 weeks, elective
Syllabus of lectures
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
2 hours/week, 13 weeks, compulsory
Syllabus of practice
1. - 2. Introduction to ANSYS code
3. - 5. Stress and strain analysis of hydrstructures
6.-7. Unsteady pressure groundwater flow
8. Groundwater flow - problems with phreatic surface.
9. - 10. Dam breaching due to piping and overtopping.
11. - 13. Water quality modelling (dynamic, balance).