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.
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
In this example, a benchmark problem in dynamic fracture of brittle materials is analyzed using the AT1 phase-field damage model. An instantaneous tensile load is applied to a planar tension specimen with a pre-existing crack. Initially, the crack propagates perpendicular to the loading ... Read More
This example demonstrates the bending analysis of a simply supported composite laminate under sinusoidal distributed transverse load. The composite laminate is thick, with a thickness to side length ratio of 1/4. The laminate has three layers in a cross-ply layup. The model is solved ... Read More
Carbon dioxide in aqueous solution is highly corrosive and can cause significant damage to steel designs. Such conditions arise in pipes used in a variety of applications, especially within the petrochemical industry. In this tutorial example, turbulent flows consisting of carbon ... Read More
This tutorial is a benchmark model that reproduces the Testing Electromagnetic Analysis Method (TEAM) Problem 32, which evaluates numerical methods for the simulation of anisotropic magnetic hysteresis. A hysteretic three-limbed laminated iron core is subject to a time-varying magnetic ... Read More
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 tutorial shows how to use the Surface-to-Surface Radiation interface to simulate radiative heat transfer with radiation between diffuse emitters and diffuse-and-specular reflectors. This model is separated in two parts. The first part focuses on a validation test for the radiative ... Read More
Ferroelectric materials exhibit nonlinear polarization behavior such as hysteresis and saturation at large applied electric fields. Many piezoelectric materials are ferroelectric. This model analyzes a simple actuator made of PZT piezoelectric ceramic material, which is subjected to ... Read More
The coaxial cable (coax) is one of the most ubiquitous transmission line structures. It is composed of a central circular conductor, surrounded by an annular dielectric, and shielded by an outer conductor. This model computes the electric and magnetic field distribution inside of the ... Read More
This model demonstrates the inflation of a rubber balloon with four different hyperelastic material models. The results are compared with the analytical solution for a thin-walled, spherical vessel. Controlling the inflation of hyperelastic balloons is important in clinical ... Read More