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 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 setup demonstrates how the characteristics of turbulent flow in a channel are modified by the presence of an adjacent porous region. Asymmetric velocity profiles, higher turbulence levels, and higher friction coefficients both at the solid wall and the fluid-porous interface are ... 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 illustrates how to set up and solve a tank-in-series model in 0D using the Reaction Engineering interface. The model treats a series of three consecutive tank reactors. A feedback loop continuously adjusts the inlet concentration of the first tank to keep the concentration ... Read More
In this example, learn how to model two rotors connected by a spline coupling. The first rotor is a fixed cantilevered rotor and the second rotor is supported. The model assumes that only translational motion is coupled between the rotors through the coupling, while the rotations of both ... Read More
This tutorial model demonstrates how to estimate the material parameters of a viscoplastic Bergstrom–Boyce model suitable for nonequilibrium modeling of rubber-like materials. The data used for parameter estimation consists of cyclic uniaxial tension and compression tests at two ... Read More
In this example, wrinkling is studied in a cylindrical membrane of nonuniform thickness under axial and pressure loading. The membrane is modeled as an incompressible Mooney–Rivlin material. During axial stretching, certain portions of the membrane undergo wrinkling; however, the ... Read More
For slender structures, buckling is a catastrophic instability if the service load is above the critical limit. For such structures, it can be important to study the behavior of the structure beyond the critical buckling load, which is known as postbuckling analysis. Tracing the ... Read More
This example presents a homogenized model of a corrugated sheet based on a unit cell approach. The numerically obtained equivalent stiffness matrices are compared with various analytical models. Two corrugation profiles, trapezoidal and round, are considered in this example. Read More
In this example, the Bergstrom–Bischoff material model is used to model the temperature and strain dependent behavior of High Density Polyethylene (HDPE) used, for example, to make liners for damaged pipes in oil and gas applications, or to make type IV hydrogen storage vessels for fuel ... Read More