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 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
Simulation of Maxwell’s equations in the time domain is useful if the objective of the analysis is to observe a transient phenomenon, to find the time it takes a signal to propagate, or if the materials being modeled are non-linear with respect to the electric or magnetic field strength. ... Read More
This model example shows how to model nonlinear propagation of 1D finite-amplitude Acoustic waves in fluids using Acoustics Module of COMSOL Multiphysics. The model is based on the 2nd order Westervelt equation. The one dimensional nonlinear wave equation is solved in the time domain by ... Read More
In this benchmark example, a semi-elliptical crack at the inner surface of a cylinder is studied. The inside of the cylinder and the crack faces are subjected to a pressure load. The J-integral is calculated along the crack front, and the stress intensity factor is then compared with the ... Read More
In this model the high speed turbulent gas flow in a converging and diverging nozzle is modeled using the High Mach Number Flow interface. The diffuser is transonic in the sense that the flow at the inlet is subsonic, but due to the contraction and the low outlet pressure, the flow ... Read More
Ferroelectric materials exhibit nonlinear polarization behavior such as hysteresis and saturation at large applied electric fields. Many piezoelectric materials are ferroelectric. This model analyzes a simple actuator made of PZT piezoelectric ceramic material, which is subjected to ... 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
In this example, the homogenized elastic and thermal properties of a composite material based on a triply periodic minimal surface (TPMS) are computed. A gyroid TPMS-based unit cell is subjected to periodic boundary conditions to get the homogenized material properties. The effects of ... Read More
In this benchmark model, solid particles are released in a fully developed turbulent channel flow. The particles are subjected to a drag force that includes contributions from the fluid turbulence, implemented using a Continuous Random Walk (CRW) model. Because the turbulence in the ... Read More
As reactant monomer converts into polymer chains, the density of the reacting mixture often changes notably. In this example you will look at how this effect impacts the total production of polymer in a process. The liquid phase polymerization takes place in a semibatch reactor, where ... Read More