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.
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 example reproduces a NAFEMS benchmark in which a plate with an angle crack is subjected to tensile loading. The J-integral is calculated and the stress intensity factors for Mode I and Mode II are compared to the benchmark results for several crack angles. Read More
This version of the balloon inflation example demonstrates how the Shell and Membrane interfaces can be used to model thin structures made of hyperelastic materials. The example is identical to the Model Library model 'Inflation of a spherical rubber balloon', except that the Membrane ... Read More
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
Powder compaction is a key process in powder metallurgy, where it gives the flexibility to produce quality products of complex shapes for sintering. The density of the compact is a key factor to determine the overall quality of the sintered product, as regions with lower density could ... Read More
When analyzing rotors, it is common that bearings are modeled through their effective dynamic coefficients about a static equilibrium position. This model illustrates how to compute such coefficients for a cylindrical journal bearing. The bearing length is kept much smaller than its ... Read More
In this example, the micromechanical properties of a piezoelectric fiber composite are studied. The homogenized electromechanical properties of the composite are derived from the individual microscopic properties of matrix and fiber. Read More
For slender structures, buckling is a catastrophic instability if the service load is above the critical limit. For such structures, it can be important to study the behavior of the structure beyond the critical buckling load, which is known as postbuckling analysis. Tracing the ... Read More
This model example shows how to model nonlinear propagation of a cylindrical wave using the Nonlinear Pressure Acoustics, Time Explicit physics interface available in Acoustics Module of COMSOL Multiphysics. The interface implements the system of nonlinear acoustic equations in the form ... 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