# Application Gallery

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.

### Topology Optimization of an MBB Beam

A demonstration of topology optimization using the Structural Mechanics Module and the Optimization Module. Three classical models are shown, the loaded knee, the Michell truss structure, and MBB beam. The optimization method is based on using the SIMPS approach to recast the original combinatorial optimization problem into a continuous optimization problem.

### Mooney-Rivlin Curve Fit

This presentation shows how to use the Optimization Module to fit a material model curve to experimental data. It is based on the hyperelastic Mooney-Rivlin material model example given in the Structural Mechanics users guide.

### 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 constraint on field minimum at a point. Third, the currents are adjusted to minimize the gradient in the ...

### Shape Optimization of a Tweeter Waveguide

This application illustrates how to use COMSOL’s optimization capabilities to automatically develop novel designs satisfying critical design constraints. The model optimizes a simple speaker geometry. Examples of constraints could include the radius of the loudspeaker or a desired minimum achievable sound-pressure level. To exemplify the optimization capabilities this application studies the ...

### Topology Optimization of a Loaded Knee Structure

Imagine that you are designing a light-weight mountain bike frame that should fit in a box of a certain size and should weigh no more than 8 kg. Given that you know the loads on the bike, you can achieve this by distributing the available material while making sure that the stiffness of the frame is at a maximum. This way you have formulated the topology optimization of the frame as a material ...

### 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 using this combination of optimization and time dependent solver compared to when using the time dependent ...

### Multistudy Optimization of a Bracket

In this shape optimization example, the mass of a bracket is minimized by changing the size and position of a number of geometrical objects. The requirements give limits both on the lowest natural frequency, and on the maximum stress in a static load case. This means that results from two different study types must be used as constraints in the optimization problem. For the stress constraint, a ...

### An Introduction to Shape Optimization in COMSOL

This example exemplifies the basics in how to optimize shapes using COMSOL Multiphysics®. A more detailed description of the phenomenon and the modeling process can be seen in the blog post "[Designing New Structures with Shape Optimization](https://www.comsol.com/blogs/designing-new-structures-with-shape-optimization/)".

### Shape Optimization of a Capacitor Design

This example exemplifies how to optimize the design of a capacitor through optimization. A more detailed description of the phenomenon and the modeling process can be seen in the blog post "[Changing the Dimensions of a Model Using Shape Optimization](https://www.comsol.com/blogs/changing-the-dimensions-of-a-model-using-shape-optimization/)".

### 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 model, the objective is to find the optimal distribution of a porous material in a microchannel such that the ...

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