The Application Gallery features COMSOL Multiphysics® tutorial and demo app files pertinent to the electrical, structural, acoustics, fluid, heat, and chemical disciplines. You can use these examples as a starting point for your own simulation work by downloading the tutorial model or demo app file and its accompanying instructions.

Search for tutorials and apps relevant to your area of expertise via the Quick Search feature. To download the MPH-files, log in or create a COMSOL Access account that is associated with a valid COMSOL license. Note that many of the examples featured here can also be accessed via the Application Libraries that are built into the COMSOL Multiphysics® software and available from the File menu.

Acoustics Modulex

Spherical Scatterer: BEM Benchmark

In this classical benchmark model, a spherical scatterer is placed in a plane wave background field. When the sphere is modeled as sound hard, the problem has an analytical solution. The model compares the results using the *Pressure Acoustics, Boundary Elements* interface with the ... Read More

Piezoelectric Tonpilz Transducer with a Prestressed Bolt

A tonpilz transducer is used for relatively low frequency, high power sound emission. It is one of the popular transducer configurations for SONAR applications. The transducer consists of piezoceramic rings stacked between a head mass and a tail mass which are connected by a central ... Read More

Radially Polarized Piezoelectric Transducer

This tutorial model shows how a user-defined coordinate system can be used to create any type of directional polarization of a piezoelectric material. Results are shown for the case of radial polarization of a piezoelectric disk. The piezoelectric material is PZT-5H. The example shows a ... Read More

Spherical Piezoacoustic Transducer

This tutorial provides a step-by-step instruction to setup a fully-coupled 3D structural-acoustic interaction problem. Interaction between a vibrating spherical piezoelectric structure with the surrounding fluid media is considered. The piezoelectric material PZT-5H from the materials ... Read More

Ground Motion After Seismic Event: Scattering off a Small Mountain

In this tutorial, the propagation of elastic waves in the ground after a seismic event is simulated using a 2D model. The effect of the ground surface topology on the wave propagation is illustrated when an ideal half space is modified with the presence of a small mountain. The model is ... Read More

Topology Optimization and Verification of an Acoustic Mode in a 2D Room

This tutorial introduces the use of topology optimization in acoustics. The goal of the optimization is to find the optimal material distribution (solid or air) in a given design domain, here the ceiling of a 2D room, that minimizes the average sound pressure level in an objective ... Read More

Angle Beam Nondestructive Testing

Angle beam ultrasonic units are used for nondestructive testing of solid objects, such as metal pipes. They are especially useful for detecting the flaws in and around welding areas. The operating principle lies in the generation of a refracted shear wave in the test sample that is ... Read More

Vibrating Micromirror with Viscous and Thermal Damping

Micromirrors are used in certain MEMS devices to control optic elements. This model of a vibrating micromirror surrounded by air uses the Thermoacoustic-Shell Interaction user interface to model the fluid-solid interaction, and it thus includes the correct viscous and thermal damping of ... Read More

Multilayered Porous Material: Poroelastic Waves with Thermal and Viscous Losses (Biot-Allard Model)

In applications where pressure and elastic waves propagate in porous materials filled with air, both thermal and viscous losses are important. This is typically the case in insulation materials for rooms, lining materials in car cabins, or foams used in headsets and speakers. Another ... Read More

Acoustic Liner with a Grazing Background Flow

This model demonstrates how to compute the acoustic properties of an acoustic liner with a grazing flow. The liner consists of eight resonators with thin slits. The background grazing flow is at Mach number 0.3. The sound pressure level above the liner is computed and can be compared to ... Read More