Course detail

Numerical modelling in hydrodynamics

FAST-DR57Acad. year: 2024/2025

The course deals with the development of mathematical model in hydrodynamics. 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.
Basics of finite difference and finite element methods are presented
Practical studies are focused on the problems connected with PhD. thesis.

Language of instruction

Czech

Mode of study

Not applicable.

Entry knowledge

Základy odborné angličtiny

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 numerical modelling in hydrodynamics. Students will obtain knowledge about basic methods of modelling, the conceptual model set up, development of mathematical model and numerical solution of the hydrodynamic problem.

Study aids

Not applicable.

Prerequisites and corequisites

Not applicable.

Basic literature

Říha a kol.: Matematické modelování hydrodynamických a disperzních jevů. VUT Brno 1997

Recommended literature

Šlezingr, M., Šulc, V.,: Přehled stavebních strojů - animace. multimediální učební pomůcka ÚVST VUT FAST Brno 2007

Type of course unit

 

Lecture

39 hod., optionally

Teacher / Lecturer

Syllabus

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