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 ... 詳細を見る
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 ... 詳細を見る
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. 詳細を見る
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 ... 詳細を見る
This tutorial model demonstrates how to estimate the material parameters of a viscoplastic Bergstrom–Boyce model suitable for nonequilibrium modeling of rubber-like materials. The data used for parameter estimation consists of cyclic uniaxial tension and compression tests at two ... 詳細を見る
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 ... 詳細を見る
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 ... 詳細を見る
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 ... 詳細を見る
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 ... 詳細を見る
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. 詳細を見る