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.

Axisymmetric Transient Heat Transfer

This is a benchmark model for an axisymmetric transient thermal analysis. The temperature on the boundaries changes from 0 degrees C to 1000 degrees C at the start of the simulation. The temperature at 190 s from the anlysis is compared with a NAFEMS benchmark solution. Read More

Droplet Breakup in a T-Junction

Emulsions consist of small liquid droplets immersed in an immiscible liquid and widely occur in the production of food, cosmetics, fine chemicals, and pharmaceutical products. The quality of the product is typically dependent on the size of the droplets. Simulating these processes can ... Read More

Slope Stability in an Embankment Dam

A slope stability analysis is performed and the Factor of Safety of the dam embankment is calculated by using the Shear Strength Reduction Technique. The pore pressure in the soil is computed based on Darcy’s law, and the Mohr–Coulomb constitutive model is used to describe the ... 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

Unsteady 3D Flow Past a Cylinder

This example simulates 3D unsteady laminar flow past a cylinder in a channel. The inflow velocity profile is time-varying. The lift and drag coefficients are computed, and results show good agreement with those published in the literature. Read More

Deformation of an Iron Plate by Magnetic Force

A strong permanent magnet is placed close to a clamped thin plate made of iron. The magnetic force causes the plate to be deflected. This example studies the plate's elastic deformation and stress. The deformation of the plate has an influence on the distribution of the magnetic field. ... 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

Helmholtz Resonator with Flow: Interaction of Flow and Acoustics

Helmholtz resonators are used in exhaust systems, as they can attenuate a specific narrow frequency band. The presence of a flow in the system alters the acoustic properties of the resonator and the transmission loss of the subsystem. In this tutorial model, a Helmholtz resonator is ... 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

The Brüel & Kjær 4134 Condenser Microphone

This is a model of the Brüel and Kjær 4134 condenser microphone. The geometry and material parameters are those of the actual microphone. The modeled sensitivity level is compared to measurements performed on an actual microphone and shows good agreement. The membrane deformation, ... Read More