Advanced Topics in Computational Methods (MSK910)
The course provides a comprehensive theoretical and practical understanding and engineering applications of computational methods such as advanced topics in finite element methods, boundary element methods, computational fluid dynamics and engineering optimization.
Course description for study year 2024-2025. Please note that changes may occur.
Course code
MSK910
Version
1
Credits (ECTS)
10
Semester tution start
Spring, Autumn
Number of semesters
1
Exam semester
Spring, Autumn
Language of instruction
English
Content
The course content covers some or all of the following topics, based on the potential candidate(s) direction of study:
- FEM: Finite elements in continuum and solid mechanics, Eulerian and Lagrangian finite element formulations, Numerical modeling of material behavior, Material and geometric nonlinearity analysis, Plasticity models, Computational methods in dynamic problems, Finite elements in engineering optimization
- BEM: Betti’s principle, Green’s functions, The indirect method, Weighted residuals, Trefftz’s method, Mesh Reduction Methods, BE analysis of Fracture Mechanics problems, BE analysis of half-space.
- CFD: Finite volume techniques in fluid dynamics, discretization and solution methods, selected topics in multiphase flows including Euler-Euler, Euler-Lagrange as well as Volume of fluid (VOF) methods. Selected topics in turbulence modelling.
- Engineering optimization, linear and nonlinear optimization, gradient-based methods, evolutionary and global optimization, nature-inspired optimization tools and approaches.
Learning outcome
Upon finishing the course, the candidate is expected to be able to:
- Understand finite element formulations and/or finite volume methods
- Formulate and solve nonlinear problems in continuum mechanics/fluid dynamics
- Use numerical modeling techniques to model material/fluid behavior,
- Use finite element programming tools to formulate and solve engineering optimization problems, plasticity problems and dynamics systems.
Required prerequisite knowledge
Recommended prerequisites
Exam
Form of assessment | Weight | Duration | Marks | Aid |
---|---|---|---|---|
Report | 1/1 | 3 Months | Passed / Not Passed | All |
No re-sit opportunities are offered for the report. Students who do not pass the report can retake it the next time the course is held.