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.

Jet Pipe

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

Lemaitre–Chaboche Viscoplastic Model

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

Self-Lubricating Journal Bearing

This example describes how to simulate the self-lubricating phenomenon of a liquid lubricant in a journal bearing. A porous bushing is press-fitted to a bearing and saturated with a lubricant. It acts as a reservoir for the redistribution of the thin film of lubricant between regions of ... Read More

Expansion Fan

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

Isotropic Compression Test for Structured Clays

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

Eppler Airfoil Transition

The flow around the Eppler 387 airfoil is computed with the SST turbulence model both with and without the transition model. The reuslts are compared with experimental values. Read More

Total Internal Reflection Thin-Film Achromatic Phase Shifter (TIRTF APS)

The capability to alter the polarization of light is crucial to a wide variety of optical devices. For example, the polarization of light has a significant effect on the performance of optical isolators, attenuators, and beam splitters. By assigning a specific polarization to light, most ... Read More

A Cross-Bridge Kelvin Resistor Model for the Extraction of Specific Contact Resistivity

This benchmark example builds two models of a cross-bridge Kelvin resistor used for extracting the specific contact resistivity. The first model simulates the system in 3D, using the contact resistance feature built in the Semiconductor interface. The other model is a 2D approximation of ... Read More

Hartmann Boundary Layer

Classical MHD benchmark problem was solved analytically by J. Hartmann. He considered laminar incompressible flow between two planes (in planar duct) in transversal imposed magnetic field under next assumptions: * fully developed flow (far from inlet) * fluid properties are constant * ... Read More

Parameter Estimation of Hyperelastic Materials

This tutorial model demonstrates how to set up a parameter estimation study for fitting the material parameters of an Ogden hyperelastic model to experimental data. The procedure considers multiple load cases under large deformations, which is often necessary to obtain constitutive ... Read More

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