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 verification model of nonisothermal turbulent flow over a flat plate compares the heat transfer coefficient obtained from simulation with theoretical values based on Nusselt number correlation functions that can be found in the literature. 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
This tutorial simulates a standard test and benchmark model for nonreflecting conditions and sponge layers for linearized Euler-like systems. It involves the propagation of a transient Gaussian pulse in a 2D uniform flow. The Convected Wave Equation, Time Explicit interface solves the ... Read More
This tutorial simulates a small vibrating hemispherical particle in water. The particle has a radius of 1 mm and is oscillating in the axial direction at a frequency of 50 kHz. The vibrations induce acoustic waves in the fluid. The example demonstrates how to set up a thermoviscous ... Read More
In this example, it is demonstrated how to extend the built-in linear elastic material model to a Cosserat material through the addition of microrotation degrees of freedom. A cylindrical bar under pure torsion is analyzed and the effect of the Cosserat length scale parameter on the ... Read More
The copper current collector on negative graphite electrodes in lithium-ion batteries have been seen to dissolve at over discharge. This can be a safety concern as the dissolution damages the current collector irreversibly and dissolved copper ions can redeposit and form dendrites. ... Read More
This benchmark studies the nonlinear deformation of a spherical cap subjected to point load at center using 2D axisymmetric Solid Mechanics and Shell interfaces. The results from the Shell interface are compared with Solid Mechanics interface as well as with analytical results given in ... Read More
The Bessel panel is a way to arrange a number of loudspeakers so that the angular sound distribution resembles that of a single speaker. This model combines five Bessel panels in the same pattern to approximate a purely radial sound field. The speakers are driven with different ... Read More
This model reproduces the NiCd battery model and the results presented in De Vidts' and White's paper from 1995. Ref: P. De Vidts, R. E. White, “Mathematical Modeling of a Nickel-Cadmium Cell: Proton Diffusion in the Nickel Electrode”, J. Electrochem. Soc, Vol. 142, No. 5, May 1995. Read More
This three-phase induction motor model is used to compare with Testing Electromagnetic Analysis Method (TEAM) workshop problem 30. The Magnetic Fields physics interface is used to model the motor in the frequency domain at 60 Hz. The Velocity (Lorentz Term) feature is used to model the ... Read More
