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 2025-2026

See course description and exam/assesment information for this semester (2024-2025)
Facts

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

Offered by

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

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. 

Course teacher(s)

Course coordinator:

Knut Erik Teigen Giljarhus

Course teacher:

Ove Kjetil Mikkelsen

Course teacher:

Dimitrios Pavlou

Head of Department:

Mona Wetrhus Minde

Course teacher:

Hirpa Gelgele Lemu

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.

Admission requirements

 

Course assessment

The faculty decides whether early dialogue should be conducted in all or selected groups of courses offered by the faculty. The purpose is to gather feedback from students for making changes and adjustments to the course during the current semester. In addition, a digital evaluation, students’ course evaluation, must be conducted at least once every three years. Its purpose is to collect students` experiences with the course.

Literature

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