SD2175 Numerical Methods for Acoustics and Vibration 9.0 credits

Numeriska metoder för akustik och vibrationer

The course covers the theoretical background and some practical experience on acoustic and vibration finite element and boundary element analysis. Modelling of damping in response predictions.

  • Education cycle

    Second cycle
  • Main field of study

  • Grading scale

    A, B, C, D, E, FX, F

Course offerings

Spring 19 for programme students

Spring 20 for programme students

Intended learning outcomes

After completing this course, students should be able to:

  • Explain the key concepts behind numerical methods for acoustics and vibrations, such as finite element and finite difference methods, and discuss them in terms of simplifications, accuracy, performance and validation.
  • Apply numerical theory to acoustics and vibrations problems by implementing it in numerical programs, and perform numerical calculations using computational software such as Matlab and Comsol Multiphysics.
  • Reflect on numerical implementations, choose appropriate modelling approaches and troubleshoot problems that arise.
  • Evaluate and critically judge numerical results in order to suggest improvements from both physical and numerical modelling perspectives.
  • Present the outcome of their work in group discussions, formal oral presentations and written reports.

Course main content

Introduction to numerical methods in engineering. Mathematical models versus numerical models. Finite difference method. Galerkins method and method of weighted residuals. Simple elements. Stiffness method. Element formulations. Coordinate transformations. Isoparametry. Numerical interpolation. Convergence properties for dynamic problems. Hierarchical elements. Direct and iterative solvers. Eigenvalue analysis. Modal superposition. Integral equations. Examples of acoustic radiation and scattering using BEM. Simple fluid-structure interaction. Response analysis of a coupled problem. Modelling of damping and its effect on the response.


Basic courses in mathematics and mechanics.


Kurskompendium: Numeriska metoder inom akustik och vibrationer.


  • INLA - 4x Assignment & Written report, 6.0, grading scale: P, F
  • PROA - Project & Oral and Written Report, 3.0, grading scale: P, F

Requirements for final grade

Examination, written test (TEN1; 4 university credits), Assignments (INL1; 3 university credits), Computer task, oral defence (INL1, 2 university credits).

Offered by

SCI/Aeronautical and Vehicle Engineering


Peter Göransson <>

Add-on studies

SD2165 Acoustical Measurements
SD2150 Experimental Structure Dynamics
SD2155 Flow Acoustics
SD2160 Sound and Vibration, Project Course
SD2170 Energy Methods
SD2180 Non-Linear Acoustics
SD2185 Ultrasonics
SD2190 Vehicle Acoustics and Vibration


Course syllabus valid from: Autumn 2018.
Examination information valid from: Spring 2016.