Mathematical Modelling in Building Physics

Garant předmětu:

Lecturer:

Tutor:

Supervisor:

Department of Architectural Engineering

Synopsis:

Students learn how to establish computational models of dynamic systems in building physics (heat and moisture transfer in buildings and building components). The emphasis is on introducing the principles of numerical solutions, their application and critical evaluation of the calculated results.

Requirements:

No special requirements are needed.

Syllabus of lectures:

1. Process of mathematical modelling. Numerical integration.

2. Static models - systems of linear equations. Dynamic models - systems of ordinary differential equations (ODEs).

3. Dynamic models - principles of numerical solution of ODEs (explicit and implicit methods).

4. Matlab and Simulink for solution of ODEs.

5. Iterative methods for solution on non-linear equations.

6. Matlab and Simulink for solution of non-linear equations.

Syllabus of tutorials:

1. Ú1 Numerical integration.

2. Consultations.

3. Ú2 Numerical solution of ordinary differential equations.

4. Consultations.

5. Ú3 Numerical solution of non-linear equations.

6. Consultations.

Study Objective:

Gaining knowledge and basic practice in mathematical modelling and numerical solutions.

Study materials:

--

Note:

Further information:

https://moodle-vyuka.cvut.cz/course/view.php?id=2844

Time-table for winter semester 2023/2024:

Time-table is not available yet

Time-table for summer semester 2023/2024:

Time-table is not available yet

The course is a part of the following study plans:

• Budovy a prostředí, specializace Stavební fyzika (compulsory elective course)