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.
When modeling the propagation of charged particle beams at high currents and relativistic speeds, the space charge and beam current create significant electric and magnetic forces that tend to expand and focus the beam, respectively. The Charged Particle Tracing interface uses an ... 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
This verification model of nonisothermal turbulent flow over a flat plate 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
Most metals and alloys undergo viscoplastic deformation at high temperatures. In case of cyclic loading, a constitutive law with both isotropic and kinematic hardening is necessary to describe effects such as ratcheting, cyclic softening/hardening, and stress relaxation. The Lemaitre ... Read More
This model investigates the National Institute of Standards and Technology (NIST) Gaseous Electronics Conference (GEC) reference cell in two dimensions using the Plasma, Time Periodic interface. A 2D example helps in understanding the physics without excessive CPU time. The cell is ... Read More
The present example simulates the turbulent flow over a 3D hill geometry using the Large Eddy Simulation (LES) interface with synthetic turbulence at the inlet boundary. Read More
This example demonstrates the wrinkling phenomenon in a thin sheet stretched uniaxially. The modified membrane theory, which incorporates the wrinkling model, ensures noncompressive principal stresses in the wrinkled region. The analytical results are compared to the numerical results. 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
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