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.
A plane electromagnetic wave propagating through free space is incident at an angle upon an infinite dielectric medium. This model computes the reflection and transmission coefficients and compares to the Fresnel equations. Read More
This model investigates the National Institute of Standards and Technology (NIST) Gaseous Electronics Conference (GEC) reference cell in two dimensions using the Plasma, Time Periodic interface. A 2D example helps in understanding the physics without excessive CPU time. The cell is ... Read More
Electrochemical supercapacitors feature relatively higher energy densities than conventional capacitors. With several advantages, such as fast charging, long charge–discharge cycles, and broad operating temperature ranges, electrochemical supercapacitors have found wide applications in ... Read More
This benchmark models two-phase flow in a porous medium in 1D, where the flow can be analytically described by the Buckley-Leverett equation. Read More
An axisymmetric model of a rigid piston in an infinite baffle is used to exemplify the Exterior Field Calculation feature of the Acoustics Module. The radiation results provided by the COMSOL Multiphysics® software are compared to analytical results for the on-axis radiation ... Read More
In this example, the External Stress feature in the Solid Mechanics interface is used to provide the material model with the nonsymmetric stress required in the design of an elastic invisibility cloak. The cloak is a domain with special material properties aimed at shielding a region of ... Read More
This example explores the shift in natural frequencies caused by changing the temperature. One study investigates a doubly clamped beam where both ends are fixed, while the other study looks at a cantilever beam where only one end is fixed. The following effects are studied: Stress ... Read More
The vibration modes of a thin or thick circular disc are well known, and it is possible to compute the corresponding eigenfrequencies to arbitrary precision from a series solution. The same is true for the acoustic modes of an air-filled cylinder with perfectly rigid walls. A more ... Read More
This model couples the Navier Stokes equations and the heat transfer equations to examine density driven flow of free fluids. Here the fluid is in a square cavity with a heated wall. The buoyancy force is a Boussinesq term added to the Navier-Stokes equations. The equation is ... Read More
Due to the demand for larger power with a smaller size, dual-shaft systems with intershaft bearings are becoming a standard configuration for gas turbine engines. Such systems consist of two coaxial rotors running at different speeds, interlinked through a multi-spool bearing. In this ... Read More
