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.
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
A tonpilz transducer is used for relatively low frequency, high power sound emission. It is one of the popular transducer configurations for SONAR applications. The transducer consists of piezoceramic rings stacked between a head mass and a tail mass which are connected by a central ... 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
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
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, triaxial and oedometer tests are simulated using the Modified Cam-Clay material model. A nonlinear stress-strain relation is recovered with the constant Poisson's ratio formulation. The hardening and softening behavior is recovered for normally consolidated and highly ... 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
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
This model shows how to use the scattered field formulation to compute the transmission coefficient for impinging P and S plane elastic waves onto a finite size phononic crystal. The transmission tends to zero in the frequency range corresponding to P- and S-wave band gaps, as ... Read More