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 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
When modeling the propagation of charged particle beams at high currents, the space charge force generated by the beam significantly affects the trajectories of the charged particles. Perturbations to these trajectories, in turn, affect the space charge distribution. The Charged ... 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 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
This model demonstrates the inflation of a rubber balloon with four different hyperelastic material models. The results are compared with the analytical solution for a thin-walled, spherical vessel. Controlling the inflation of hyperelastic balloons is important in clinical ... 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 example presents a homogenized model of a corrugated sheet based on a unit cell approach. The numerically obtained equivalent stiffness matrices are compared with various analytical models. Two corrugation profiles, trapezoidal and round, are considered in this example. Read More
This example benchmarks a NAFEMS validation model of a friction contact problem with an elastoplastic material model. A thin metal sheet is forced into a die by a punch. Both the compressing displacement and the release of the punch are modeled in order to compute the forming angle (at ... Read More
This example models cathodic protection of a steel reinforcing bar in concrete. Three different electrochemical reactions are considered on the steel surface. Charge and oxygen transport are modeled in the concrete domain, where the electrolyte conductivity and oxygen diffusivity depend ... Read More
This model represents a test case of a flow in an elastic tube which is present in several applications. This specific case models viscoelastic flow and represents steady flow in a channel in which part of the upper wall is replaced by an elastic plate subjected to an external pressure. ... Read More