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 demonstrates the bending analysis of a simply supported composite laminate under sinusoidal distributed transverse load. The composite laminate is thick, with a thickness to side length ratio of 1/4. The laminate has three layers in a cross-ply layup. The model is solved ... 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
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
Homogeneous Charge Compression Ignition (HCCI) engines are being considered as an alternative to traditional spark- and compression-ignition engines. As the name implies, a homogeneous fuel/oxidant mixture is auto-ignited by compression with simultaneous combustion occurring throughout ... 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 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
This example shows how to use the Parameter Estimation and Experiment features in the Reaction Engineering interface for optimization with multiple experimental data input files. The application finds the Arrhenius parameters of a first order reaction where Benzene diazonium chloride ... 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
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
The vibration modes of a thin or thick circular disc are well known, and it is possible to compute the corresponding eigenfrequencies to arbitrary precision from a series solution. The same is true for the acoustic modes of an air-filled cylinder with perfectly rigid walls. A more ... Read More