Equation-Based Modeling Blog Posts

Combining Adaptive Mesh Refinement with Data Filtering
In a follow-up to our previous blog post on data filtering, we demonstrate how to implement adaptive mesh refinement and a Helmholtz filter for a thermal model with a nonuniform heat load.

Using Data Filtering to Improve Model Performance
Want to include experimental data in your model as a load or boundary condition, but the data varies over space or time and is noisy? Try implementing data filtering, such as a Helmholtz filter.

Using Global Equations to Introduce Fully Coupled Goal Seeking
Learn how to introduce a goal-seeking equation, combined with a fully coupled approach, to solve a nonlinear model. (Follow-up to an earlier blog post on goal seeking with a segregated solver.)

Introducing Goal Seeking into the Segregated Solver
Did you know that you can adjust a model input to achieve a desired output in your nonlinear problems? The process involves implementing a global equation into the segregated solver.

Equation-Based Modeling with a Space-Time Discretization
In COMSOL Multiphysics®, almost any expression in a computational model can be modified. For example, using a space-time discretization can make optimization problems easy and fast to implement.

Modeling the Spread of COVID-19 with COMSOL Multiphysics®
From susceptible to exposed and infected to recovered: See how numerical modeling can help us understand the dynamics of the COVID-19 pandemic and how it spreads.

How to Simulate Control Systems Using the PID Controller Add-In
A PID controller can be used in a variety of industries. This blog post demonstrates how a PID controller add-in can be easily incorporated in two simulation examples.

Defeating Giant Movie Monsters Using Mathematical Modeling
The predator-prey equation can predict how we’d fare in a monster invasion, as well as real-world biology and ecology scenarios like shark overpopulation and tumor movement.