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 explores the shift in natural frequencies caused by changing the temperature. One study investigates a doubly clamped beam where both ends are fixed, while the other study looks at a cantilever beam where only one end is fixed. The following effects are studied: Stress ... Read More
A classic benchmark problem in computational electromagnetics is to solve for the radar cross section (RCS) of a sphere in free space illuminated by a plane wave. This model solves for the RCS of a metallic sphere that has a very high conductivity, which can be treated as a material with ... 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 model, sound created by a vibrating piston radiates through a baffled pipe. The impedance is measured and then used in an impedance boundary condition that replaces the surrounding air domain. This technique can be employed to reduce solution time and memory usage for large ... 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
This verification model of nonisothermal laminar flow through a circular tube 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
In this model a Knowles ED23146 receiver (miniature loudspeaker) is connected to a test set-up consisting of a 50 mm (1 mm diameter) earmold tube and a so-called 0.4-cc coupler. The receiver is modeled using a lumped spice network and connected to the finite element domain at the tube ... Read More
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 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