## Performing Topology Optimization with the Density Method

##### Kristian Ejlebjærg Jensen January 4, 2019

Engineers are given significant freedom in their pursuit for lightweight structural components in airplanes and space applications, so it makes sense to use methods that can exploit this freedom, making topology optimization a popular choice in the early design phase. This method often requires regularization and special interpolation functions to get meaningful designs, which can be a nuisance to both new and experienced users. To simplify the solution of topology optimization problems, the COMSOL® software contains a density topology feature.

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### How to Analyze a Glacier via Gradient-Based Optimization

##### Nathan Martin July 17, 2018

Following up on a previous blog post about glacier flow modeling, we are going to delve a bit further into a crucial component of geophysics modeling in general: parameterizing numerical models using observations. Let’s see how we can quantify sensitivity and infer unknown parameters through indirect observations using the COMSOL Multiphysics® software and add-on Optimization Module.

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### How to Perform Multimaterial Optimization in COMSOL Multiphysics®

##### Friedrich Maier March 30, 2018

Sweeps are very useful for characterizing a system and learning more about how different input values impact the results. You can perform several different types of sweeps in the COMSOL Multiphysics® software, including function, material, and parametric sweeps. However, precise and innovative simulation results also call for mathematical optimization. In this blog post, learn how to combine sweep studies with the built-in optimization functionality.

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### How to Use the Parameter Estimation Study Step for Inverse Modeling

##### Amelia Halliday March 29, 2018

When creating a simulation, you usually start by building the forward model, supplying various inputs, and then looking at the results. However, what if you have a set of results and want to find the input values that provide the same outcome? Here, we show how to use the Parameter Estimation study step, which helps you build an inverse model and solve for the optimal values of your model inputs.

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### Topology Optimization of a Magnetic Circuit for Loudspeakers

##### Thomas Forrister March 22, 2018

In the 1970s and 80s, music fans would dedicate entire rooms of their homes to stereo systems. Big, boxy loudspeakers were essential fixtures of these stereo setups. Today, a new trend has emerged: Consumers want loudspeakers that are both powerful and portable, with the ability to connect to devices around the house and on the go. To design sophisticated yet lightweight loudspeakers, you can optimize the topology of their components, such as a magnetic circuit for the loudspeaker driver.

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### Advancing Additive Manufacturing with Sequential Simulations

##### Caty Fairclough March 7, 2018

Additive manufacturing has a wide array of applications, such as creating custom medical devices, aerospace components, and artwork. With the list of potential uses continuing to grow, it’s important that this type of manufacturing can keep up with the demand. However, analyzing and optimizing this complex process can be difficult. What can engineers do to overcome this challenge?

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### Acoustic Topology Optimization with Thermoviscous Losses

##### GuestRené Christensen February 28, 2018

Today, guest blogger René Christensen of GN Hearing discusses including thermoviscous losses in the topology optimization of microacoustic devices. Topology optimization helps engineers design applications in an optimized manner with respect to certain a priori objectives. Mainly used in structural mechanics, topology optimization is also used for thermal, electromagnetics, and acoustics applications. One physics that was missing from this list until last year is microacoustics. This blog post describes a new method for including thermoviscous losses for microacoustics topology optimization.

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### Multiparameter Optimization with a Least-Squares Objective

##### Friedrich Maier October 19, 2017

Optimization is an efficient way to gain deeper knowledge of a model. Much like the different flowers in a colorful bouquet, you can perform a variety of different optimization projects using the Optimization Module. However, parameter estimation is also a widely used technique. Such an analysis is usually set as a least-squares problem based on measured data, but for a clear and unique answer, you might need multiple measurements. Today, learn how to estimate parameters using a multiparameter data set.

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### Finding the Ideal Thickness for the Insulation of a Pipeline

##### Bridget Cunningham August 28, 2017

Pipelines are used to transport petroleum products and natural gas across long distances in cold environments. Because of this, petroleum mixtures may need to be preheated after being transported in pipelines before a refining process can begin. However, as the oil is pumped through the pipeline, heat is generated from the fluid itself as it flows. To keep costs down and the heat inside the pipe, the pipeline insulation can be optimized using models and simulation.

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### How to Optimize the Spacing of Electromagnetic Coils

##### Walter Frei April 20, 2017

When designing electromagnetic coils, we may want to adjust the position of the coils to achieve a desired magnetic field strength within a particular region of space. This is possible to do within the COMSOL Multiphysics® software by using the add-on AC/DC Module and Optimization Module to combine parameter and shape optimization. Let’s find out how.

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### 3 Ways to Optimize the Current in Electromagnetic Coils

##### Walter Frei April 10, 2017

If you design electromagnetic coils, the combination of the AC/DC and Optimization modules with the COMSOL Multiphysics® software gives you the power to quickly come up with improved design iterations. Today, we will look at designing a coil system to achieve a desired magnetic field distribution by changing the coil’s driving currents. We will also introduce three different optimization objectives and constraints. This topic is of interest to anyone who is modeling coils or curious about optimization.

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