Course Details

Mathematical Modeling in Water Management

Academic Year 2023/24

CR005 course is part of 1 study plan

​ N-P-C-SI (N) / V Winter Semester 2nd year

Common bases for mathematical model creation.
Modelling of water flow in water structures.
Modelling of water flow in river network and floodplains.
Reliability of water structures.

Course Guarantor

prof. Ing. Jan Jandora, Ph.D.

Institute

Institute of Water Structures

Objective

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.

Knowledge

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.

Syllabus

1st Introduction to problematic of mathematical modelling. Governing equations of fluid mechanics.
2 to 3 Modelling of turbulent flow.
4 to 5 Free surface flow (1D, 2D, hydraulic jump, sewer systems – aims, data, models).
6th Flow in pressure systems (aims, data, models).
7th Ground water flow problems (aims, data, models).
8th Modelling of advection and dispersion of matter – water quality in river networks and sewer systems (data, models, optimalization of WWTP costs).
9th Reliability of water structures (data, models).
10th Analytical and numerical solutions.

Prerequisites

Mathematics, Hydraulics, Hydrology, Soil Mechanics.

Language of instruction

Czech

Credits

6 credits

Semester

winter

Forms and criteria of assessment

course-unit credit and examination

Specification of controlled instruction, the form of instruction, and the form of compensation of the absences

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

Offered to foreign students

Not to offer

Course on BUT site

https://www.vut.cz/en/students/courses/detail/272363

Lecture

13 weeks, 2 hours/week, elective

Syllabus

1st Introduction to problematic of mathematical modelling. Governing equations of fluid mechanics.

2 to 3 Modelling of turbulent flow.

4 to 5 Free surface flow (1D, 2D, hydraulic jump, sewer systems – aims, data, models).

6th Flow in pressure systems (aims, data, models).

7th Ground water flow problems (aims, data, models).

8th Modelling of advection and dispersion of matter – water quality in river networks and sewer systems (data, models, optimalization of WWTP costs).

9th Reliability of water structures (data, models).

10th Analytical and numerical solutions.

Exercise

13 weeks, 2 hours/week, compulsory

Syllabus

1st Introduction to problematic of mathematical modelling. Introduction to the software.

2 to 5 Modelling of ideal flow and laminar flow.

6 to 9 Modelling of turbulent flow.

10th Presentation of the results of modeling.