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.
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 tutorial example shows how to use the Electric Currents in Shells interface together with Magnetic Field interface to compute the resistance and inductance of a planar PCB coil in the stationary regime. Read More
This model is a benchmark for three-phase flow commonly used in food processing, pharmaceutical industry, and chemical processing. The results are validated against data reported in the literature. A gas bubble rises through two layers of liquid, a lighter liquid resting on top of a ... 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
Polymer hydrogels consist of a crosslinked network of long-chained polymers that has imbibed a large number of solvent molecules. Such materials are used in many biomedical applications, such as targeted drug delivery, tissue engineering, and stimuli-sensitive actuators. This benchmark ... Read More
When modeling the propagation of charged particle beams at high currents and relativistic speeds, the space charge and beam current create significant electric and magnetic forces that tend to expand and focus the beam, respectively. The Charged Particle Tracing interface uses an ... Read More
This model shows how to use the scattered field formulation to compute the transmission coefficient for impinging P and S plane elastic waves onto a finite size phononic crystal. The transmission tends to zero in the frequency range corresponding to P- and S-wave band gaps, as ... Read More
This model showcases how to solve for the scattered field when knowing the incident field for three different types of scatterer, i.e. an infinitely rigid one, a cavity and an elastic inclusion. This formulation can be useful when the scatterer is in the far-field of the source, such ... Read More
This example applies an Oldroyd-B fluid to model the thinning of a viscoelastic filament under the action of surface tension. For times smaller than the polymer relaxation time, the filament develops a beads-on-string structure. At times much larger than the relaxation time, the solution ... Read More
In this benchmark model, solid particles are released in a fully developed turbulent channel flow. The particles are subjected to a drag force that includes contributions from the fluid turbulence, implemented using a Continuous Random Walk (CRW) model. Because the turbulence in the ... Read More
