Course detail

Mathematical modelling

FAST-DR74Acad. year: 2022/2023

The course deals with the development of mathematical model in water management. Initially the elementary principles of modelling are introduced together with conceptual and mathematical model development. The problems solved are flow and transport of solids in streams and floodplain, groundwater flow and pollution, flow in reservoirs and hydrotechnical structures.
The part of the subject concerns the use of appropriate software for numerical solution of the problem. Practical studies are focused on the problems connected with PhD. thesis.

Language of instruction

Czech

Number of ECTS credits

8

Mode of study

Not applicable.

Guarantor

prof. Ing. Jaromír Říha, CSc.

Department

Institute of Water Structures (VST)

Learning outcomes of the course unit

Knowledge of principles of mathematical modelling in water management. The students will obtain knowledge about basic methods of modelling, the conceptual model set up, development of mathematical model and numerical solution of the problem.

Prerequisites

Hydraulics,

Co-requisites

Not applicable.

Planned learning activities and teaching methods

Not applicable.

Assesment methods and criteria linked to learning outcomes

Not applicable.

Course curriculum

- Introduction to mathematical modelling
- Conceptual model
- Governing equations, initial and boundary conditions
- Practical use of numerical methods
- The use of appropriate software for solution of the practical studies

Work placements

Not applicable.

Aims

The aim of the course is to acquaint students with principles of mathematical modelling in water management. The students will obtain knowledge about basic methods of modelling, the conceptual model set up, development of mathematical model and numerical solution of the problem.

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.

Recommended optional programme components

Not applicable.

Prerequisites and corequisites

Not applicable.

Basic literature

Not applicable.

Recommended reading

Not applicable.

Classification of course in study plans

  • Programme D-K-E-CE (N) Doctoral

    branch VHS , 1 year of study, summer semester, compulsory-optional

  • Programme D-K-C-SI (N) Doctoral

    branch VHS , 1 year of study, summer semester, compulsory-optional

  • Programme D-P-E-CE (N) Doctoral

    branch VHS , 1 year of study, summer semester, compulsory-optional

  • Programme D-P-C-SI (N) Doctoral

    branch VHS , 1 year of study, summer semester, compulsory-optional

Type of course unit

 

Lecture

39 hod., optionally

Teacher / Lecturer

prof. Ing. Jaromír Říha, CSc.

Syllabus

- Introduction to mathematical modelling - Conceptual model - Governing equations, initial and boundary conditions - Practical use of numerical methods - The use of appropriate software for solution of the practical studies