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.
The strength reduction technique is a tool to find the factor of safety (FOS) in geotechnical problems, particularly in slope stability analyses. To determine the factor of safety of the slope, the strength properties in the Mohr–Coulomb model are gradually reduced until failure occurs. ... Read More
This tutorial model demonstrates how to set up a parameter estimation study for fitting the material parameters of an Ogden hyperelastic model to experimental data. The procedure considers multiple load cases under large deformations, which is often necessary to obtain constitutive ... 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 model example shows how to model nonlinear propagation of 1D finite-amplitude Acoustic waves in fluids using Acoustics Module of COMSOL Multiphysics. The model is based on the 2nd order Westervelt equation. The one dimensional nonlinear wave equation is solved in the time domain by ... Read More
When electrons are emitted from a heated cathode in a plane parallel vacuum diode, they contribute to the space charge density in the diode, which in turn affects the electric potential distribution. If the potential difference between the cathode and the anode is not sufficiently large, ... Read More
This model demonstrates alternative implementations used for describing a thin layer and the impact of the choice on the continuity of the displacement and stress fields. It is shown how a perfect interface can be obtained by asymptotically changing the material parameters. 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
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
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
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
