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.
Many piezoelectric materials are ferroelectric. Ferroelectric materials exhibit nonlinear polarization behavior, such as hysteresis and saturation at large applied electric fields. In addition, the polarization and mechanical deformations in such materials can be strongly coupled due to ... 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
A common verification problem for geotechnical problems is a shallow stratum layer of clay. In this example a vertical load is applied on the clay strata and the static response and the collapse load are studied. The clay is modeled as an elastic-perfectly plastic material and the ... Read More
This model example shows how to model nonlinear propagation of a cylindrical wave using the Nonlinear Pressure Acoustics, Time Explicit physics interface available in Acoustics Module of COMSOL Multiphysics. The interface implements the system of nonlinear acoustic equations in the form ... Read More
This tutorial simulates a small vibrating hemispherical particle in water. The particle has a radius of 1 mm and is oscillating in the axial direction at a frequency of 50 kHz. The vibrations induce acoustic waves in the fluid. The example demonstrates how to set up a thermoviscous ... Read More
In this example, the micromechanical properties of a piezoelectric fiber composite are studied. The homogenized electromechanical properties of the composite are derived from the individual microscopic properties of matrix and fiber. Read More
This example models the radiation of fan noise from the annular duct of a turbofan aeroengine. When the jet stream exits the duct, a vortex sheet appears along the extension of the duct wall due to the surrounding air moving at a lower speed. The near field on both sides of the vortex ... Read More
An axisymmetric model of a rigid piston in an infinite baffle is used to exemplify the Exterior Field Calculation feature of the Acoustics Module. The radiation results provided by the COMSOL Multiphysics® software are compared to analytical results for the on-axis radiation ... Read More
This tutorial simulates a standard test and benchmark model for nonreflecting conditions and sponge layers for linearized Euler-like systems. It involves the propagation of a transient Gaussian pulse in a 2D uniform flow. The Convected Wave Equation, Time Explicit interface solves the ... Read More
This model simulates the isotropic compression of naturally structured and artificially structured clays using the Modified Structured Cam-Clay (MSCC) material model. The aim of the example is to reproduce the compression behavior given in a benchmark for four structured clays. Read More