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.

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

Airflow over an Ahmed Body

The Ahmed body represents a simplified, ground vehicle geometry of a bluff body type. Its shape is simple enough to allow for accurate flow simulation but retains some important practical features relevant to automobile bodies. This model describes how to calculate the turbulent flow ... 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

Porous Absorber

This is a model of acoustic absorption by a porous acoustic open cell foam. In porous materials the sound propagates in a network of small interconnected pores. Because the dimensions of the pores are small, losses occur due to thermal conduction and viscous friction. Acoustic foams are ... Read More

Flow Around an Inclined NACA 0012 Airfoil

This model simulates the flow around an inclined NACA 0012 airfoil at different angles of attack using the SST turbulence model. The results show good agreement with the experimental lift data of Ladson and the pressure data of Gregory and O’Reilly. 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

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

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

Electromagnetic Force Verification Series

In this set of verification models and associated documentation, the accuracy of electromagnetic force calculations is investigated. Using various techniques, the total force and torque on a rigid body is determined and compared to analytical models. Using fillets, advanced meshing and ... Read More