Numerical acoustics

• Select the appropriate numerical tool for any given acoustic problem: FEM, BEM or a combination of them.
• Define the model to contain the relevant features, excluding unnecessary details.
• Formulate and construct numerical simulations in acoustics using FEM and BEM.
• Identify the boundary conditions and, if appropriate, define the coupling properties.
• Assemble a FEM model based on weighted residuals, Galerkin’s method.
• Evaluate the particularities of the BEM direct collocation formulation, such as singular and near-singular integrals.
• Define and solve multidomain problems in BEM.
• Define and solve FEM/BEM coupling.
• Analyze simulation results and draw conclusions from them.

The course focuses on theoretical lectures combined with computer exercises using Matlab programming. The students will use and adapt existing BEM and FEM code in Matlab. The Comsol FEM package may also be used.
The formulation of the FEM and BEM in acoustics will be examined and developed with practical programming examples related with acoustical problems. There will be short exercises in connection with the theory, plus a larger assignment during the course that will be evaluated in the oral exam.
The coupling of the acoustic model with other elements in the setup defined in different physical terms, such as mechanical systems, will be outlined.

34840, 34840 Fundamentals of Acoustics and Noise Control. A programming background is expected.

Lectures and computer exercises