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.
Carbon dioxide in aqueous solution is highly corrosive and can cause significant damage to steel designs. Such conditions arise in pipes used in a variety of applications, especially within the petrochemical industry. In this tutorial example, turbulent flows consisting of carbon ... Read More
Optical lenses of millimeter size cannot easily be analyzed with the Electromagnetic Waves, Frequency Domain interface on standard workstations due to the large number of finite element mesh elements required. This model explains how the Electromagnetic Waves, Beam Envelopes interface ... Read More
The example shows a 1D steady-state thermal analysis including radiation to a prescribed ambient temperature. The temperature field from the solution of this benchmark model is compared with a NAFEMS benchmark solution. Read More
A classic benchmark problem in computational electromagnetics is to solve for the radar cross section (RCS) of a sphere in free space illuminated by a plane wave. This model solves for the RCS of a metallic sphere that has a very high conductivity, which can be treated as a material with ... Read More
The coaxial cable (coax) is one of the most ubiquitous transmission line structures. It is composed of a central circular conductor, surrounded by an annular dielectric, and shielded by an outer conductor. This model computes the electric and magnetic field distribution inside of the ... Read More
The standard biventricular cardiac model is used to show how to set up fiber directions in a complex geometry. The fibers are then used to model the large deformation of the myocardium with the Holzapfel-Gasser-Ogden anisotropic material model. The Aliev-Panfilov equations are included ... 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 example describes the cooling and solidification, from melt to solid metal, in a continuous casting process. The model includes nonisothermal properties, temperature distribution, flow field, and phase change. This example uses the arbritrary Lagrangian-Eulerian method for modeling ... Read More
The acoustic field in a model of an axially symmetric lined aero-engine duct, based on modal sound transmission, is analyzed. The source is generated by a single mode excitation at a boundary. Sources and nonreflecting conditions are applied using port boundary conditions. The model ... Read More
This model demonstrates the inflation of a rubber balloon with four different hyperelastic material models. The results are compared with the analytical solution for a thin-walled, spherical vessel. Controlling the inflation of hyperelastic balloons is important in clinical ... Read More