## The Nonparaxial Gaussian Beam Formula for Simulating Wave Optics

##### Yosuke Mizuyama June 26, 2018

In a previous blog post, we discussed the paraxial Gaussian beam formula. Today, we’ll talk about a more accurate formulation for Gaussian beams, available as of version 5.3a of the COMSOL® software. This formulation based on a plane wave expansion can handle nonparaxial Gaussian beams more accurately than the conventional paraxial formulation.

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### Analyzing a Centrifugal Pump Design with Frozen Rotor Approximation

##### Brianne Christopher June 25, 2018

In the 1998 song “This Kiss”, country singer Faith Hill describes the way she feels for the person she loves as “centrifugal motion”. Either Hill wants to get away from the song’s subject ASAP or she mixed up the term centrifugal with centripetal. We’ll forgive the 20-year-old song’s inaccuracies — besides, understanding the effect of centrifugal force is more important when designing components in a wide range of industries, such as centrifugal pumps for automotive applications, than in songwriting.

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### Modeling Copper Electrodeposition on a Circuit Board

##### Caty Fairclough June 21, 2018

If you were to take apart almost any modern electronic product, you would find a printed circuit board (PCB). A closer look at this common component reveals a pattern of copper lines on its surface. These conducting lines can be created using a process called electrodeposition, which modifies device surfaces via electrochemical reactions. To enhance electrodeposition techniques for circuit board manufacturing, engineers can use numerical modeling.

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### Modeling a MOS Capacitor with the Semiconductor Module

##### Caty Fairclough June 20, 2018

Silicon planar devices, imaging sensors, and microprocessors often include a metal-oxide-silicon (MOS) capacitor. To ensure that these devices perform as expected in an application, engineers can accurately analyze their designs using simulation. With the Semiconductor Module, an add-on product to the COMSOL Multiphysics® software, there are multiple methods to do just that…

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### Happy Birthday, Blaise Pascal

##### Caty Fairclough June 19, 2018

What sparked Blaise Pascal’s interest in mathematics? One possibility is that when Pascal’s father tried to put off teaching it to his son, it didn’t go as planned. Instead, the delay piqued Pascal’s interest and he wound up teaching himself mathematics, developing an early fascination with the subject. Today, Blaise Pascal is known for his work in mathematics as well as in other areas, such as philosophy and theology.

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### How to Perform a Nonlinear Distortion Analysis of a Loudspeaker Driver

##### Kirill Shaposhnikov June 18, 2018

A thorough analysis of a loudspeaker driver is not limited to a frequency-domain study. Some desirable and undesirable (but nonetheless exciting) effects can only be caught by a nonlinear time-domain study. Here, we will discuss how system nonlinearities affect the generated sound and how to use the COMSOL Multiphysics® software to perform a nonlinear distortion analysis of a loudspeaker driver.

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### Fueling Up for Autonomous Driving with Optimized Battery Designs

##### Brianne Christopher June 14, 2018

After World War II, a boom in the economy caused Americans to buy a record number of cars (leading to serious levels of pollution). Today, we have more energy-efficient vehicles — such as hybrid and electric options — and another “boom” is occurring, this time for autonomous vehicles (AVs). Again, pollution is an issue, but in a different way: There’s a debate over whether self-driving cars should have hybrid engines to maximize profit or all-electric engines to minimize pollution.

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### Your Guide to Meshing Techniques for Efficient CFD Modeling

##### Christian Wollblad June 13, 2018

We have already discussed the factors that make a high-quality mesh and how to prepare a CFD model geometry for meshing. In this follow-up blog post, learn about physics-controlled meshing, adaptive mesh refinement, and how to use a variety of meshing tools in the COMSOL Multiphysics® software for your fluid flow simulations.

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### How to Use the Cluster Sweep Node in COMSOL Multiphysics®

##### Pär Persson Mattsson June 12, 2018

In a previous blog post, we explained how to run a job from the COMSOL Multiphysics® software on clusters directly from the COMSOL Desktop® environment, without any interaction with a Linux® operating system terminal. Since this terminal is sometimes treated with excessive respect, the ability to start a cluster job directly from the graphical user interface is one of the most useful features in the COMSOL® software. Plus, there’s more to it… Enter the Cluster Sweep node.

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### How to Set Up a Mesh in COMSOL Multiphysics® for CFD Analyses

##### Christian Wollblad June 11, 2018

The quality of a computational fluid dynamics (CFD) model is often determined by the quality of the mesh used to solve the problem. A good mesh facilitates convergence, reduces memory requirements, and results in accurate solutions. It is therefore worthwhile to invest time and thought into creating the mesh when solving a CFD problem. In this blog post, we describe the factors of a quality mesh and how to prepare a fluid flow model geometry for meshing.

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### Happy Birthday, Henry Darcy

##### Thomas Forrister June 10, 2018

The early 1800s were difficult for the townsfolk of Dijon, France. They’d made several attempts to supply the region with clean water by drilling wells, but the wells were too few, too dirty, and too dry. Fortunately, Henry Darcy, an engineer and Dijon native dedicated to public service, found a solution. His study of fluid dynamics for the project led to the formulation of the equation now known as Darcy’s law, as well as other contributions to hydraulics.

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