Course Details

Mathematical modelling

DR74 course is part of 4 study plans

Ph.D. full-t. program nD > VHS compulsory-elective Summer Semester 1st year 8 credits

Ph.D. combi. program nDK > VHS compulsory-elective Summer Semester 1st year 8 credits

Ph.D. full-t. program nDA > VHS compulsory-elective Summer Semester 1st year 8 credits

Ph.D. combi. program nDKA > VHS compulsory-elective Summer Semester 1st year 8 credits

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.

Course Guarantor

prof. Ing. Jaromír Říha, CSc.

Institute

Institute of Water Structures

Prerequisites

Hydraulics,

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.

Objective

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 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.

Lecture

3 hours/week, 13 weeks, elective

Syllabus of lectures

- 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