Individual course details
Study programme  Meteorology
Chosen research area (module)  
Nature and level of studies Undergraduate studies
Name of the course Atmospheric turbulence
Professor (lectures) Associate professor Vladimir Djurdjevic
Professor/associate (examples/practical) Sonja Rendulic
Professor/associate (additional)  
ECTS 6   elective
Access requirements Mathematics 3B;   Mathematics 4B; Dynamical meteorology; Micrometeorology
Aims of the course To understand turbulent flow in the atmospheric planetary boundary layer (PBL).
Learning outcomes Understanding of the: Mathematical representation of turbulent flows; Formation of a mathematical model for turbulent flows; Modeling the turbulent flow in the planetary boundary layer.
Contents of the course
Lectures 1. Turbulent flow - introduction 2. Equations for tubular flow. 3. Reynolds stress. 4. Definitions of mean flow and fluctuations 5. Ergodic theorem. 6. Taylor's hypothesis. 7. The problem of closing of the equations for turbulent flow. 8. Solving equations of motion for turbulent flow, forming prognostic equations for second-order moments. 9. Introduction to the  analysis of the extended system of prognostic equations. 10. A detailed analysis of the extended system of prognostic equations. 11. System reduction and categorization formation. 12. Reduction of the system in the case of a planetary boundary layer with the use of a hydrostatic approximation. 13. Mellor-Yamada model - closure level 2.5. 14. Numerical solving of the Mellor-Yamada model - closure level 2.5. 15. Formulation of the problem of realizability.
Examples/ practical classes Practical use of the numerical model of the Mellor-Yamada model closure level 2.5.
Recommended books
1 Micrometeorology, B. Rajkovic and F. Mesinger; Institute of meteorology, Faculty of Physics
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3  
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5  
Number of classes (weekly)
Lectures Examples&practicals   Student project Additional
3 3      
Teaching and learning methods Lectures, programing, preparation of the sudent paper and presentation.
Assessment (maximal 100)
Assesed coursework mark examination mark
coursework 5 written examination  
practicals 5 oral examination 30
papers 20    
presentations 40