Course detail

Mathematical modelling in water management

FAST-DRB025Acad. year: 2025/2026

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)

Entry knowledge

Hydraulics.

Rules for evaluation and completion of the course

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

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.
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.

Study aids

Not applicable.

Prerequisites and corequisites

Not applicable.

Basic literature

Not applicable.

Recommended reading

Not applicable.

Classification of course in study plans

  • Programme DKA-V Doctoral 1 year of study, summer semester, compulsory-optional
  • Programme DPC-V Doctoral 1 year of study, summer semester, compulsory-optional
  • Programme DPA-V Doctoral 1 year of study, summer semester, compulsory-optional
  • Programme DPC-V Doctoral 1 year of study, summer semester, compulsory-optional

Type of course unit

 

Lecture

39 hod., optionally

Teacher / Lecturer

prof. Ing. Jaromír Říha, CSc.

Syllabus

  • 1. Introduction to mathematical modelling.
  • 2.–4. Conceptual model.
  • 5.–8. Governing equations, initial and boundary conditions.
  • 9.–11. Practical use of numerical methods.
  • 12.–13. The use of appropriate software for solution of the practical studies.