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

Maximizing the Eigenfrequency of a Shell

This model demonstrates how to use the Polynomial Shell feature to increase the lowest Eigenfrequency of a shell by deforming its shape. Read More

Shape Optimization of a Shell

This model demonstrates how to use the Free Shape Shell feature to increase the stiffness of a shell by deforming its shape. Read More

Electrode Balancing of a Lithium-Ion Battery Using Experimental OCV Data

Electrode balancing is an important factor in the design of lithium-ion batteries. In this model, use the experimental open-circuit voltage of a cell and some basic assumptions, followed by an optimization solver, to find a proper electrode balancing. Get more details in this ... Read More

Topology Optimization of Loaded Knee Structure with a Maximum Stress Constraint

This model demonstrates 2D topology optimization for the problem of minimum mass subject to a compliance constraint and a stress constraint. The stress constraint is implemented with a P-norm global aggregation function. The stress input to this is interpolated differently than the Young ... Read More

Maximizing the Eigenfrequency of a Beam

This model demonstrates how to design a beam without low Eigenfrequencies by combining the Density Model feature in the Topology Optimization interface with the Stationary Then Eigenfrequency study step. Read More

Sub-Component Lumping in Acoustics Using the Impedance Boundary Condition

This application illustrates a modeling approach for deriving physically consistent simplified models in the Acoustics Module. The approach consists of converting complex sub-components to an impedance boundary condition and otherwise using simple acoustics throughout the COMSOL model. ... Read More

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 ... Read More

Optimization of an Extruded MBB Beam

This model demonstrates 3D topology and shape optimization for an extruded geometry. This can be achieved using equation-based modeling and extrusion operators. The model considers stiffness maximization of a beam subject to a constraint on the mass, but the method can be used with any ... Read More

Shape Optimization of an MBB Beam

This model demonstrates how the Free Shape Boundary feature can be used to perform shape optimization on a design found with topology optimization. The model uses the same objective and constraint as the original, which results in a slightly higher stiffness for the same mass. Read More

Optimization of a Catalytic Microreactor in 3D

In this application, a solution is pumped through a catalytic bed where a solute species reacts as it gets in contact with the solid catalyst. The purpose of this example is to maximize the total reaction rate for a given total pressure difference across the bed, by finding the optimal ... Read More