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.
Electrochemical supercapacitors feature relatively higher energy densities than conventional capacitors. With several advantages, such as fast charging, long charge–discharge cycles, and broad operating temperature ranges, electrochemical supercapacitors have found wide applications in ... Read More
This model solves Poisson's equation on a unit disk with a point source at the origin. The mesh density is higher close to the origin to resolve the singularity. The computed solution is compared to the analytical solution. 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
In this benchmark model for blood flow in a centrifugal pump, simulations are performed for several flow rates and pump speeds. The modeled geometry is taken from the FDA’s Computational Round Robin and the results are in good agreement with the experimental data. The computed shear ... 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
This model is a benchmark for three-phase flow commonly used in food processing, pharmaceutical industry, and chemical processing. The results are validated against data reported in the literature. A gas bubble rises through two layers of liquid, a lighter liquid resting on top of a ... 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
Reflective mufflers are best suited for the low-frequency range where only plane waves can propagate in the system, while dissipative mufflers with fibers are efficient in the mid- to high-frequency range. Dissipative mufflers based on flow losses, on the other hand, also work at low ... Read More
In this example, a benchmark problem in dynamic fracture of brittle materials is analyzed using the AT1 phase-field damage model. An instantaneous tensile load is applied to a planar tension specimen with a pre-existing crack. Initially, the crack propagates perpendicular to the loading ... Read More
Most metals and alloys undergo viscoplastic deformation at high temperatures. In case of cyclic loading, a constitutive law with both isotropic and kinematic hardening is necessary to describe effects such as ratcheting, cyclic softening/hardening, and stress relaxation. The Lemaitre ... Read More