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MAS532 Numerical methods in hydrodynamics

Course description for academic year 2023/2024

Contents and structure

Marine structures gives an in-depth overview of advanced hydrodynamic and structural considerations for analysing flexible floating offshore structures. The course gives a comprehensive grounding, from first principles of dynamic stability, through to complex nonlinear fluid-structure interaction with flexible elastic structures. As a central course on the Master in Sustainable Energy Technology, the Marine structures is rooted within the UN’s 17 Sustainable Development Goals, covering advanced topics especially relevant for the demands of new offshore renewable energy technologies (SDG7), aiming to inspire new innovations (SDG9) which are capable of being produced responsibly (SDG12) and in consideration of the marine environment (SGD14) The following topics are covered:

  • Review of ship stability
  • Dynamic response - frequency domain and response amplitude operators
  • Large-volume structures - linear and nonlinear diffraction modelling
  • Time-domain analysis - Cummins’ equation
  • Numerical methods for flexible structures - hydro/aeroelasticity

Learning Outcome


The student…

  • can define and explain key features from curves of dynamical stability and response amplitude operators.
  • understands the difference between small and large volume structure analysis and can analyse these structures in both frequency and time domains.
  • is familiar with mooring system design and dynamic modelling for flexible structures.
  • has a foundation in applied numerical methods towards marine dynamic systems.
  • understands the principles behind time-domain numerical analysis.


The student…

  • can conduct a linear diffraction analysis using a boundary element model to calculate wave loads for simple geometries.
  • can complete a time-domain response analysis using industry software.
  • has advanced computational skills in a scientific programming language for coding of numerical algorithms.

General competency

The student…

  • can reflect and evaluate their own competence in individual and group problem-based learning.

Entry requirements

Minimum requirements for enrolment to Master programme in Sustainable Energy Technology.

Recommended previous knowledge

MAS116 Hydrodynamics, MAS220 Introduction to Fluid Dynamics, MAS224 Rigid body dynamics

Teaching methods

Traditional lectures, practice calculations, group project assignments.

Several short problem-based learning tasks, conducted in small groups and on topics relevant for the course.

Compulsory learning activities

In small groups, students are required to complete several short problem-based learning tasks with obligatory attendance.

Each group is required to present the findings from the tasks to their fellow class members.


Portfolio examination consisting of several short group reports based on the problem-based learning tasks, along with an individual reflection.

Grading scale is A-F, where F is fail.

A failed portfolio can only be retaken next time the course is taught.

Examination support material

All aids are allowed.

More about examination support material