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.
Bessel Panel
The Bessel panel is a way to arrange a number of loudspeakers so that the angular sound distribution resembles that of a single speaker. This model combines five Bessel panels in the same pattern to approximate a purely radial sound field. The speakers are driven with different ... Read More
Scattered-Field Formulation for Elastic Waves
This model showcases how to solve for the scattered field when knowing the incident field for three different types of scatterer, i.e. an infinitely rigid one, a cavity and an elastic inclusion. This formulation can be useful when the scatterer is in the far-field of the source, such ... Read More
Torsion of an Isotropic Cosserat Elastic Cylinder
In this example, it is demonstrated how to extend the built-in linear elastic material model to a Cosserat material through the addition of microrotation degrees of freedom. A cylindrical bar under pure torsion is analyzed and the effect of the Cosserat length scale parameter on the ... Read More
Inflation of a Square Hyperelastic Airbag
A square airbag made of a hyperelastic, compressible neo-Hookean material is inflated using pressurized air. Compressive stresses trigger wrinkling in some regions of the thin airbag. In this example, the wrinkling behavior is modeled using tension field theory, which gives a correct ... Read More
Self-Consistent Schrödinger–Poisson Results for a GaAs Nanowire
This benchmark model simulates a GaAs nanowire using the self-consistent Schrödinger-Poisson theory to compute the electron density and the confining potential profiles. The predefined Schrödinger-Poisson multiphysics coupling feature is combined with the dedicated Schrödinger-Poisson ... Read More
Ray Release from a Dipole Antenna Source (2D Axisymmetric)
In this tutorial model, the far-field radiation pattern of a dipole antenna is computed in a 2D axisymmetric model component. Then, in a separate 3D model component, a ray is released using the far-field radiation pattern to initialize the ray's intensity, polarization, and phase. Read More
Uniaxial Stretching of a Rectangular Sheet
This example demonstrates the wrinkling of a thin rectangular sheet stretched uniaxially. First, a static analysis is performed to determine the region of negative principal stresses without wrinkling. Next, a prestressed buckling analysis is carried out to find out the linearized ... Read More
Parameter Estimation of Elastoplastic Materials
This tutorial model demonstrates how to estimate the material parameters of a combined hardening elastoplastic material model given cyclic shear data. Read More
Postbuckling Analysis Using an Incremental Arc Length Method
For slender structures, buckling is a catastrophic instability if the service load is above the critical limit. For such structures, it can be important to study the behavior of the structure beyond the critical buckling load, which is known as postbuckling analysis. Tracing the ... Read More
Ray Release from a Dipole Antenna Source (3D)
In this tutorial model, the far-field radiation pattern of a dipole antenna is computed in a 3D model component. Then, in a separate 3D model component, a ray is released using the far-field radiation pattern to initialize the ray's intensity, polarization, and phase. Read More