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 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 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
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
A plane electromagnetic wave propagating through free space is incident at an angle upon an infinite dielectric medium. This model computes the reflection and transmission coefficients and compares to the Fresnel equations. Read More
Electrochemical supercapacitors feature relatively higher energy densities than conventional capacitors. With several advantages, such as fast charging, long charge–discharge cycles, and broad operating temperature ranges, electrochemical supercapacitors have found wide applications in ... 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 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
Simulation of Maxwell’s equations in the time domain is useful if the objective of the analysis is to observe a transient phenomenon, to find the time it takes a signal to propagate, or if the materials being modeled are non-linear with respect to the electric or magnetic field strength. ... 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 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