ID: 1149
Course type: scientific and vocational
Course coordinator: Bengin Č. Aleksandar
Lecturers: Bengin Č. Aleksandar
Contact: Bengin Č. Aleksandar
Level of studies: M.Sc. (graduate) Academic Studies – Mechanical Engineering
ECTS: 6
Final exam type: written
Department: Department of Aerospace Engineering
Introducing students with engineering simulations based on continuum mechanics. Understanding a well-defined problem as a unity of physical laws and additional conditions that define uniqueness and existence of a solution. Learning about the influence of the type of problem on the choice and type of additional conditions, as well as the choice of approximation to solve typical problems in continuum mechanic. Training students to independently develop computer programs for simulation of prototypical equations.
By successfully adopting the program of the course, a student: acquires theoretical knowledge sufficient to recognize the type of the problem as well as the type and number of additional conditions necessary to completely and uniquely define the problem that is being simulated; recognizes basic approximation schemes of the typical problems; masters the principles and foundations of programming related to simulations of continuum; observes the structure of the simulation software that consists of pre-processing, simulation and visualization.
Introduction to engineering simulations, Analytic solutions of partial differential equations, Finite difference method, Parabollic partial differential equations, Non linear parabolic partial differential equations, Stability analysis, Elliptic partial differential equations, Conjugent gradient method, Multigrid method, Hiperbolic partial differential equations.
Practical training accompanies materials presented during theoretical lectures. In the beginning, students are registered and they familiarize with working in Linux operating system. After that, illustrative examples are completely presented starting with the problem formulation, presentation of the appropriate equations and their approximation, stability and convergence studies, code and reading of the necessary input data, finishing with presenting solutions graphically. Students solve their homework independently and present it to their colleagues.
Without prerequisites.
Total assigned hours: 75
New material: 25
Elaboration and examples (recapitulation): 5
Auditory exercises: 0
Laboratory exercises: 20
Calculation tasks: 0
Seminar paper: 5
Project: 0
Consultations: 0
Discussion/workshop: 5
Research study work: 0
Review and grading of calculation tasks: 0
Review and grading of lab reports: 0
Review and grading of seminar papers: 10
Review and grading of the project: 0
Test: 0
Test: 0
Final exam: 5
Activity during lectures: 10
Test/test: 0
Laboratory practice: 0
Calculation tasks: 20
Seminar paper: 40
Project: 0
Final exam: 30
Requirement for taking the exam (required number of points): 30
Vladimir N. Kukudzhanov, Numerical Continuum Mechanics, de Gruyter, 2012.; Michael Schäfer, Computational Engineering – Introduction to Numerical Methods, Springer, 2006.; Joel H. Ferziger, Milovan Perić, Computational Methods for Fluid Dynamics, Springer, 2002.