In accordance with our Quality Policy, COMSOL maintains a library of hundreds of documented model examples that are regularly tested against the latest version of the COMSOL Multiphysics® software, including benchmark problems from ASME and NAFEMS, as well as TEAM problems.

Our Verification and Validation (V&V) test suite provides consistently accurate solutions that are compared against analytical results and established benchmark data. The documented models below are part of the COMSOL Multiphysics® software’s built-in Application Libraries. They include reference values and sources for a wide range of benchmarks, as well as step-by-step instructions to reproduce the expected results on your own computer. You can use these models not only to document your software quality assurance (SQA) and numerical code verification (NCV) efforts, but also as part of an in-house training program.

Computing Q-Factors and Resonant Frequencies of Cavity Resonators

A classic benchmark example in computational electromagnetics is to find the resonant frequency and Q-factor of a cavity with lossy walls. Here, models of rectangular, cylindrical, and spherical cavities are shown to be in agreement with analytic solutions. Read More

1D Isothermal Lithium-Ion Battery

This model demonstrates the Lithium-Ion Battery interface for studying the discharge and charge of a lithium-ion battery for a given set of material properties. The geometry is in one dimension and the model is isothermal. Battery developers can use the model to investigate the influence ... Read More

Mass Transport Analysis of a High Temperature PEM Fuel Cell

This model example investigates the transport of reactants and water in a high temperature PEMFC. The model includes mass and momentum transport phenomena in the flow channels, gas diffusion layers (GDLs), and porous electrodes, as well as electrochemical currents in the GDLs, the porous ... Read More

Electromagnetic Forces on Parallel Current-Carrying Wires

This model shows a setup of two parallel wires with a constant current running through both. Their cross-sections are successively reduced until a set force per unit length is reached. Read More

Piezoelectric Tonpilz Transducer

The tonpilz (sound mushroom) piezoelectric transducer is a transducer for relatively low frequency, high power sound emission. The transducer consists of piezoceramic rings stacked between massive ends and pre-stressed by a central bolt. The tail and head mass lower the resonance ... Read More

Computing the Radar Cross Section of a Perfectly Conducting Sphere

A classic benchmark problem in computational electromagnetics is to solve for the radar cross section (RCS) of a sphere in free space illuminated by a plane wave. This model solves for the RCS of a metallic sphere that has a very high conductivity, which can be treated as a material with ... Read More

Frozen Inclusion

This example is a benchmark problem for simulating phase change in porous media. It studies the melting process of an ice inclusion within porous media and therefore demonstrates how to couple Darcy's Law with the Heat Transfer in Porous Media interface including phase change. Read More

Focusing Lens

Optical lenses of millimeter size cannot easily be analyzed with the *Electromagnetic Waves, Frequency Domain* interface on standard workstations due to the large number of finite element mesh elements required. This model explains how the *Electromagnetic Waves, Beam Envelopes* ... Read More

Diffuse Double Layer

At the electrode-electrolyte interface, there is a thin layer of space charge in a diffuse double layer. This may be of interest when modeling devices such as electrochemical capacitors and nanoelectrodes. This tutorial example shows how to couple the Nernst-Planck equations to the ... Read More

Multiturn Coil Above an Asymmetric Conductor Plate

This model solves the Testing Electromagnetic Analysis Methods (TEAM) problem 7, “Asymmetrical Conductor with a Hole”—a benchmark problem concerning the calculation of eddy currents and magnetic fields produced when an aluminum conductor is placed asymmetrically above a multi-turn coil ... Read More