Equation-Based Modeling Blog Posts

Introduction to Modeling Soap Films and Other Variational Problems
In this introduction to a 5-part series, learn how to solve variational problems using equation-based modeling, which is useful for modeling soap films, catenary cables, light beams, and more.

Chasing Waves: The Story of John Scott Russell and the KdV Equation
It all started with a horse: Learn about the history and use cases for solitons, as well as the life and work of the naval architect behind the KdV equation: John Scott Russell.

Acoustic Topology Optimization with Thermoviscous Losses
A guest blogger from GN Hearing discusses including thermoviscous losses in the topology optimization of microacoustic devices, such as hearing aids, mobile phones, and metamaterial geometries.

Predicting Solute Transport in Groundwater Using Simulation
In order for groundwater to be useful for irrigation and drinking, we need to understand how its various solutes move through the water. The Subsurface Flow Module includes features for this.

3 Examples of Equation-Based Modeling in COMSOL Multiphysics®
What are the benefits of using equation-based modeling in your simulations? Here are 3 examples that demonstrate the use of this functionality.

How to Generate Randomized Inhomogeneous Material Data
Did you know there is a way to take randomized material data with specified statistical properties determined by a spectral density distribution and use it to generate and visualize results?

How to Generate Random Surfaces in COMSOL Multiphysics®
Get a comprehensive background and step-by-step guide to generating random surfaces in COMSOL Multiphysics®, such as rough surfaces and microstructures.

Exploiting Maximum Principles to Save Time and Resources
By exploiting maximum principles in large and complex models, you will save time and computational resources without having to buy a bigger computer or leave your model to solve overnight.

How to Compute Distances Between Objects in COMSOL Multiphysics®
Compute the distance between two deforming objects in the COMSOL Multiphysics® software. Here’s how…

Solving Shallow Water Equations with Equation-Based Modeling
Shallow water equations are an example of equation-based modeling. You can define expressions in COMSOL Multiphysics® to solve a shallow water equation for coastal erosion analyses.

Analyze the Hodgkin-Huxley Model with a Computational App
The Hodgkin-Huxley model is an advanced model for simulating action potential. We also go over how to use a computational app to streamline this type of analysis.

Understand the Dynamics of the FitzHugh-Nagumo Model with an App
In 1961, R. Fitzhugh and J. Nagumo proposed a model for emulating the current signal observed in a living organism’s excitable cells. This became known as the FitzHugh–Nagumo model.