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MAS532 Numerical methods in hydrodynamics

Course description for academic year 2022/2023

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 - strip theory and diffraction theory
  • Time-domain analysis - Cummins’ linearisation and nonlinear quadratic transfer functions
  • Mooring system design and dynamics - lumped mass and finite element models

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 different mooring systems and dynamic modelling for flexible cables andhas a foundation in applied numerical methods towards marine dynamic systems.
  • understands the principles behind nonlinear time-domain analysis.


The student…

  • can conduct a linear diffraction analysis using a source/sink model to calculate wave loads for simple geometries.
  • can complete a time-domain mooring analysis using OrcaFlex
  • has advanced computational skills in a scientific programming language for mesh handling and coding of numerical algorithms.

 General competency

The student…

  • can reflect and evaluate their own competence in individual and group-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, online short videos (asynchronous lectures), homework assignments, laboratory work, group project assignment.

The group conducts a time-domain mooring analysis of a floating installation, with results compared to measurements from MarinLab.

Compulsory learning activities

The students will be required to complete and pass:

A short, written individual self-reflection which documents the challenges faced under the group report.


A group project report, with oral adjustment examination.

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