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.
Surface Cracked Cylinder
In this benchmark example, a semi-elliptical crack at the inner surface of a cylinder is studied. The inside of the cylinder and the crack faces are subjected to a pressure load. The J-integral is calculated along the crack front, and the stress intensity factor is then compared with the ... Read More
Micromechanical Model of a Piezoelectric Fiber Composite
In this example, the micromechanical properties of a piezoelectric fiber composite are studied. The homogenized electromechanical properties of the composite are derived from the individual microscopic properties of matrix and fiber. Read More
Electron Beam Divergence Due to Self-Potential
When modeling the propagation of charged particle beams at high currents, the space charge force generated by the beam significantly affects the trajectories of the charged particles. Perturbations to these trajectories, in turn, affect the space charge distribution. The Charged ... Read More
Ray Release Based on a Plane Electromagnetic Wave
This tutorial shows how to set up a ray release based on the incident electric field at a boundary. First the Electomagnetic Waves, Frequency Domain interface is used to solve for the electric field of a plane wave. Then rays are released with initial intensity and polarization matching ... Read More
Concrete Damage–Plasticity Material Tests
This example shows the behavior of the coupled damage-plasticity material model for concrete when subjected to different loading conditions. Read More
Beads-on-String Structure of Viscoelastic Filaments
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
Thermionic Emission in a Planar Diode
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
Phase Change in a Semi-Infinite Soil Column
In this example, a heat-conduction problem with phase change in a porous material is solved, and the results are compared with the analytical solution, also known as the Lunardini solution. This is the first test case from the InterFrost project. https://wiki.lsce.ipsl.fr/interfrost ... Read More
Powder Compaction of a Cup
The fabrication of a cup through powder compaction is simulated in this tutorial model. The powder compaction process is becoming common in the manufacturing industry, due to its potential for producing components of complex shape and high strength. Combining the Fleck–Kuhn–McMeeking ... Read More
Inflation of a Spherical Rubber Balloon — Shell and Membrane Version
This version of the balloon inflation example demonstrates how the Shell and Membrane interfaces can be used to model thin structures made of hyperelastic materials. The example is identical to the Model Library model 'Inflation of a spherical rubber balloon', except that the Membrane ... Read More