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 backward facing step is an interesting case for studying the performance and solution strategy of a turbulence model. In this case, the flow is subjected to a sudden increase of cross-sectional area, resulting in a separation of flow starting at the point of expansion. Spatial ... Read More
This model shows how to implement an anisotropic, incompressible, hyperelastic material for modeling soft collagenous tissue in arterial walls. The hyperelastic material model implemented is based on the articles: Holzapfel, G. A., Gasser, T. C., & Ogden, R. W. (2000), A new ... 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
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
This example models a oil reservoir with two horizontal wells. The reservoir contains two phases, water and oil. Oil is recovered by injecting water through the bottom well, so the oil production rate and the water-oil production ratio over time are computed. Read More
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
The incompressible boundary layer on a flat plate in the absence of a pressure gradient is usually referred to as the Blasius boundary layer. The steady, laminar boundary layer developing downstream of the leading edge eventually becomes unstable to Tollmien-Schlichting waves and finally ... Read More
Magnetotellurics is a method for estimating the resistivity profile of the Earth's subsurface using the natural electromagnetic source provided by the ionosphere. This model was defined by Zhdanov et al. in a study published in 1997. In this article, various scientific groups compared ... Read More
In this model the high speed turbulent gas flow in a converging and diverging nozzle is modeled using the High Mach Number Flow interface. The diffuser is transonic in the sense that the flow at the inlet is subsonic, but due to the contraction and the low outlet pressure, the flow ... Read More
Polymer hydrogels consist of a crosslinked network of long-chained polymers that has imbibed a large number of solvent molecules. Such materials are used in many biomedical applications, such as targeted drug delivery, tissue engineering, and stimuli-sensitive actuators. This benchmark ... Read More