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SD2175 Numerical Methods for Acoustics and Vibration 9.0 credits

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.

About course offering

For course offering

Spring 2025 Start 17 Mar 2025 programme students

Target group

No information inserted

Part of programme

Master's Programme, Engineering Mechanics, åk 1, Optional

Master's Programme, Engineering Mechanics, åk 1, TEMC, Mandatory


P4 (9.0 hp)


17 Mar 2025
2 Jun 2025

Pace of study


Form of study

Normal Daytime

Language of instruction


Course location

KTH Campus

Number of places

Places are not limited

Planned modular schedule


For course offering

Spring 2025 Start 17 Mar 2025 programme students

Application code



For course offering

Spring 2025 Start 17 Mar 2025 programme students


Romain Rumpler (


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Course coordinator

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Headings with content from the Course syllabus SD2175 (Spring 2022–) are denoted with an asterisk ( )

Content and learning outcomes

Course contents

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.

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.

Literature and preparations

Specific prerequisites

Basic courses in mathematics and mechanics.

English B / English 6

Recommended prerequisites

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Examination and completion

If the course is discontinued, students may request to be examined during the following two academic years.

Grading scale

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


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

Based on recommendation from KTH’s coordinator for disabilities, the examiner will decide how to adapt an examination for students with documented disability.

The examiner may apply another examination format when re-examining individual students.

Other requirements for final grade

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

Opportunity to complete the requirements via supplementary examination

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Opportunity to raise an approved grade via renewed examination

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Ethical approach

  • All members of a group are responsible for the group's work.
  • In any assessment, every student shall honestly disclose any help received and sources used.
  • In an oral assessment, every student shall be able to present and answer questions about the entire assignment and solution.

Further information

Course room in Canvas

Registered students find further information about the implementation of the course in the course room in Canvas. A link to the course room can be found under the tab Studies in the Personal menu at the start of the course.

Offered by

Main field of study

This course does not belong to any Main field of study.

Education cycle

Second cycle

Add-on studies

SD2165 Acoustical Measurements
SD2150 Experimental Structure Dynamics
SD2155 Flow Acoustics
SD2180 Non-Linear Acoustics
SD2190 Vehicle Acoustics and Vibration


Romain Rumpler (