Advanced Topics in Computational Methods

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.

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

None

Recommended prerequisites

Basic background in finite element (FEM) methods and/or computational fluid dynamics (CFD).

Exam

Report

Weight 1/1

Duration 3 Months

Marks Passed / Not Passed

Aid 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.

Method of work

The course is conducted as self-study with student presentations, colloquia, seminars, project works and computer-based modeling and simulation exercises. Project report is submitted in a scientific article format and graded. This project report will have a quality of at least an international conference level and commonly presented in conferences and published.

Open for

Open for students admitted to PhD study in Offshore Technology or similar.

Course assessment

The faculty decides whether early dialogue will be held in all courses or in selected groups of courses. The aim is to collect student feedback for improvements during the semester. In addition, a digital course evaluation must be conducted at least every three years to gather students’ experiences.