| Individual course details | ||||||||||
| Study programme | Meteorology | |||||||||
| Chosen research area (module) | ||||||||||
| Nature and level of studies | The undergraduate level | |||||||||
| Name of the course | Modeling of the Atmosphere | |||||||||
| Professor (lectures) | Ivana Tošić | |||||||||
| Professor/associate (examples/practical) | Suzana Putniković | |||||||||
| Professor/associate (additional) | ||||||||||
| ECTS | 6 | Status (required/elective) | elective | |||||||
| Access requirements | Mathematics 1, Mathematics 2, Meteorology 1, Programming in Meteorology | |||||||||
| Aims of the course | To learn students with techniques in modelling of the Atmosphere | |||||||||
| Learning outcomes | To apply numerical methods using time differencing schemes and horizontal space differencing in the atmosphere modelling | |||||||||
| Contents of the course | ||||||||||
| Lectures | 1. Time differencing schemes with two levels: Euler scheme, backward and trapezoidal schemes. 2. Iterative schemes: Matsuno and Heun schemes. 3. Time differencing schemes with three levels - Leap-frog scheme. 4. The Adams-Bashforth scheme. 5. Linear advection equation. 6. Numerical dispersion. 7. Approximation of the fourth-order of accuracy. 8. The two-dimensional linear advection equation. 9. An aliasing error and nonlinear instability. 10. The nonlinear advection equation. 11. The Arakawa approach for eliminating nonlinear instability. 12. The gravity waves. 13. The gravity-inertia waves. | |||||||||
| Examples/ practical classes | Time differencing schemes applied to the oscillation equation. The Adams-Bashforth scheme and spatial derivative approximated by centered finite difference quotient applied to the advection equation. | |||||||||
| Recommended books | ||||||||||
| 1 | Mesinger, F., 1978: Dynamical meteorology. Scientific book, Belgrade. | |||||||||
| 2 | Janjic, Z., 1993: Numerical methods in the atmosphere. Institute for Meteorology, Faculty of Physics, University of Belgrade. | |||||||||
| 3 | Gavrilov, M., Tošić, I., Rančić, M., 2014: Numerical Methods in Meteorology: Solved Problems, LAP Lambert, 172 str | |||||||||
| 4 | ||||||||||
| 5 | ||||||||||
| Number of classes (weekly) | ||||||||||
| Lectures | Examples&practicals | Student project | Additional | |||||||
| 3 | 3 | |||||||||
| Teaching and learning methods | Lectures, exercises, seminars | |||||||||
| Assessment (maximal 100) | ||||||||||
| assesed coursework | mark | examination | mark | |||||||
| coursework | written examination | 20 | ||||||||
| practicals | oral examination | 30 | ||||||||
| papers | ||||||||||
| presentations | 50 | |||||||||