Students should get acquainted with possibilities and gain knowledge of the theoretical basis of the finite volume method. They should to educate for using numerical methods for solving problems in the area of fluid mechanics and area of heat and mass transfer. Regardless of the complexity of the problem - geometry and boundary conditions, the acquired knowledge will enable them to calculate velocity field, temperature field and field of concentration of some substance in fluids or/and in solids in which these processes are occurred .

After the course and after independently performed numerical examples, students would have fundamentals knowledge of the theoretical of numerical methods used to solve problems in the field of fluid mechanics and field of the heat and mass transfer. Also, they would be able to make predictions, i.e. computer simulations of fluid flow and transport of heat and mass by using commercial CFD program PHOENICS 3.1.

1. Introduction - comparison of classical and numerical approach for solving problems of fluid flow and problems of heat transfer and transfer of substance 2. Governing equations of fluid flow, heat and substance transfer and equations of state 3. Turbulence and its modeling 4. Two equation models and full Reynolds stress turbulence models 5. The finite volume method for diffusion problems 6. The finite volume method for convection-diffusion problems 8. Solution Algorithms for Pressure-Velocity Coupling in Steady Flows 8. The Finite Volume Method for Unsteady Flows 9. Implementation of Boundary Conditions 10. Solution of Discrеtised Equations 11. Advanced topics

1. Examples of numerical solving steady state diffusion problems by finite volume method 2. Examples of numerical solving transient diffusion problems by finite volume method 3. Examples of numerical solving steady state convection-diffusion problems by finite volume method 4. Examples of numerical solving transient convection-diffusion problems by finite volume method

Passed exam in the following subjects: 1.1 Advanced course in mathematics 1.2 Numerical Methods 2.1 Selected chapters from Fluid Mechanics

1. Handouts and presentations 2. PHOENICS Documentation 3. PHOENICS-related lectures POLIS 4. PHOENICS On-Line Information System

Total assigned hours: 65

New material: 30
Elaboration and examples (recapitulation): 20

Auditory exercises: 0
Laboratory exercises: 0
Calculation tasks: 0
Seminar paper: 0
Project: 0
Consultations: 0
Discussion/workshop: 0
Research study work: 0

Review and grading of calculation tasks: 0
Review and grading of lab reports: 0
Review and grading of seminar papers: 0
Review and grading of the project: 0
Test: 0
Test: 0
Final exam: 15

Activity during lectures: 0
Test/test: 0
Laboratory practice: 0
Calculation tasks: 0
Seminar paper: 50
Project: 0
Final exam: 50
Requirement for taking the exam (required number of points): 40

Stevanović, Ž.: Numerical aspects of the transfer of momentum and heat, ISBN. 978-86-80578-81-3, Faculty of Mechanical Engineering, University of Nis, 2004.; Sijerčić, M.: Mathematical modeling of complex turbulent transport processes, ISBN 8678770058, Library of science-research achievements, 9788678770050, Yugoslav Society of Thermal Engineers, 1998.; Patankar, S.V.: Numerical Heat Transfer and Fluid Flow, Hemisphere Publishing Corporation, USA, 1980