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.
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
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 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 verification model of nonisothermal turbulent flow over a flat plate compares the heat transfer coefficient obtained from simulation with theoretical values based on Nusselt number correlation functions that can be found in the literature. 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 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 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
A simple equivalent circuit model approach is presented for Nickel metal hydride batteries. The 0D model consists of resistor, capacitor, current source and state-of-charge based voltage source (SOC). An Arrhenius type dependence is used to account for self-discharge. All model ... 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
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