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.
An important and interesting phenomenon with supersonic flows are expansion fans, which take place when the flow encounters a convex or expansion corner. The direction of the flow changes smoothly across the fan, while the Mach number increases. This 2D example models an expansion fan ... Read More
This benchmark studies the nonlinear deformation of a spherical cap subjected to point load at center using 2D axisymmetric Solid Mechanics and Shell interfaces. The results from the Shell interface are compared with Solid Mechanics interface as well as with analytical results given in ... Read More
This model serves the purpose of validation and verification of the Linear Elastic Material, Layered model in the Shell interface. In COMSOL Multiphysics, composites are analyzed either based on Layerwise 3D elasticity theory through the Layered Shell interface or based on FSDT-ESL ... Read More
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
This benchmark model computes the valence band structure of an unstrained and a strained bulk GaN wurtzite crystal, as a tutorial for users who wish to set up multiple wave function components with the Schrödinger Equation interface. The model follows the formulation given in the ... 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
This example illustrates the use of the Maxwell-Stefan diffusion model available with the Transport of Concentrated Species interface. It models multicomponent gas-phase diffusion in a Stefan tube in 1D. In this case, it is a liquid mixture of acetone and methanol that evaporates into ... Read More
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
This tutorial model demonstrates how to estimate the material parameters of a viscoplastic Bergstrom–Boyce model suitable for nonequilibrium modeling of rubber-like materials. The data used for parameter estimation consists of cyclic uniaxial tension and compression tests at two ... Read More
This tutorial shows how to set up a ray release based on the incident electric field at a boundary. First the Electomagnetic Waves, Frequency Domain interface is used to solve for the electric field of a plane wave. Then rays are released with initial intensity and polarization matching ... Read More