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 example shows a 1D steady-state thermal analysis including radiation to a prescribed ambient temperature. The temperature field from the solution of this benchmark model is compared with a NAFEMS benchmark solution. 詳細を見る
This tutorial is a benchmark model that reproduces the Testing Electromagnetic Analysis Method (TEAM) Problem 32, which evaluates numerical methods for the simulation of anisotropic magnetic hysteresis. A hysteretic three-limbed laminated iron core is subject to a time-varying magnetic ... 詳細を見る
Carbon dioxide in aqueous solution is highly corrosive and can cause significant damage to steel designs. Such conditions arise in pipes used in a variety of applications, especially within the petrochemical industry. In this tutorial example, turbulent flows consisting of carbon ... 詳細を見る
The standard biventricular cardiac model is used to show how to set up fiber directions in a complex geometry. The fibers are then used to model the large deformation of the myocardium with the Holzapfel-Gasser-Ogden anisotropic material model. The Aliev-Panfilov equations are included ... 詳細を見る
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 ... 詳細を見る
The coaxial cable (coax) is one of the most ubiquitous transmission line structures. It is composed of a central circular conductor, surrounded by an annular dielectric, and shielded by an outer conductor. This model computes the electric and magnetic field distribution inside of the ... 詳細を見る
The acoustic field in a model of an axially symmetric lined aero-engine duct, based on modal sound transmission, is analyzed. The source is generated by a single mode excitation at a boundary. Sources and nonreflecting conditions are applied using port boundary conditions. The model ... 詳細を見る
This example describes the cooling and solidification, from melt to solid metal, in a continuous casting process. The model includes nonisothermal properties, temperature distribution, flow field, and phase change. This example uses the arbritrary Lagrangian-Eulerian method for modeling ... 詳細を見る
Ferroelectric materials exhibit nonlinear polarization behavior such as hysteresis and saturation at large applied electric fields. Many piezoelectric materials are ferroelectric. This model analyzes a simple actuator made of PZT piezoelectric ceramic material, which is subjected to ... 詳細を見る
In this example, a benchmark problem in dynamic fracture of brittle materials is analyzed using the AT1 phase-field damage model. An instantaneous tensile load is applied to a planar tension specimen with a pre-existing crack. Initially, the crack propagates perpendicular to the loading ... 詳細を見る