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. 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.

Optimization Modulex

Design Optimization of a Beam

The mass of an aluminum beam is minimized subject to a displacement constraint and a distributed load. The problem is solved using parameter, shape and topology optimization. Read More

Optimizing Coils

Several different approaches to optimizing a ten-turn axisymmetric coil are presented. First, the current in each turn is adjusted with the objective of having a uniform magnetic flux density along the centerline. Second, the currents are adjusted to minimize power dissipation with a ... Read More

Optimization of a Heat Exchanger with Turbulent Flow

Commercial heat exchangers often feature a complex design. It is significantly easier to build a design with new CAD parameters than to build designs with novel topologies. This model demonstrate how to optimize the size and position of the tubes in a tube and shell heat exchanger. It is ... Read More

Tweeter Dome and Waveguide Shape Optimization

A tweeter is a high frequency driver used in loudspeaker systems. An ideal tweeter will produce a constant sound pressure level at a given distance in front of the driver independently of frequency, that is, a flat response. Ideally the tweeter will also, to a certain degree, maintain ... Read More

Time-Dependent Optimization

This tutorial demonstrates how to compute the periodic steady-state solution of a nonlinear model problem using an optimization solver. The solver modifies the initial conditions at the beginning of a period to match the solution at the end of the period. The model solves much faster ... Read More

Impedance Tube Parameter Estimation with Data Generation

Impedance tubes are used for estimating the surface impedance of various samples, for example, a layer of porous material used for sound insulation. This model shows how the five material parameters of the Johnson-Champoux-Allard model can be estimated from the pressure at two ... Read More

Minimizing the Flow Velocity in a Microchannel

Topology optimization of the Navier-Stokes equations is encountered in different branches and applications, such as in the design of ventilation systems for cars. A common technique applicable to such problems is to let the distribution of porous material vary continuously. In this ... Read More

Parameter Optimization of a Tesla Microvalve

The topology optimized Tesla microvalve is used as inspiration for a parametrized geometry. The optimization of this geometry takes erosion and dilation of the geometry into account by optimizing over a parametric sweep. In this example the optimization is driven by the worst of the 3 ... Read More

Parameter Optimization of an Electric Motor

This example demonstrates how to use parameter optimization to identify the optimal position and shape of the permanent magnets in an electric motor. The torque is used as objective functions, but different designs are found depending on whether the minimum or average torque are ... Read More

Geometry optimization of a 3D complex-shaped coil for induction heating

The model features the optimization of the geometry of a complex-shaped coil similar to those for induction heating applications. The geometry if fully built and parametrized in COMSOL Multiphysics (taking advantage of Geometry Parts; geometrical construction requires Design Module). The ... Read More