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.
Focusing Lens
Optical lenses of millimeter size cannot easily be analyzed with the Electromagnetic Waves, Frequency Domain interface on standard workstations due to the large number of finite element mesh elements required. This model explains how the Electromagnetic Waves, Beam Envelopes interface ... Read More
Open Pipe
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
Planar PCB Coil
This tutorial example shows how to use the Electric Currents in Shells interface together with Magnetic Field interface to compute the resistance and inductance of a planar PCB coil in the stationary regime. Read More
Buoyancy Flow of Free Fluids
This model couples the Navier Stokes equations and the heat transfer equations to examine density driven flow of free fluids. Here the fluid is in a square cavity with a heated wall. The buoyancy force is a Boussinesq term added to the Navier-Stokes equations. The equation is ... Read More
Tubular Reactor with Nonisothermal Cooling Jacket
Chemical engineering students can model a nonideal tubular reactor, including radial and axial variations in temperature and composition, and investigate the impact of different operating conditions with this easy-to-use app. The process described by the Tubular Reactor with ... Read More
Arterial Wall Mechanics
This model shows how to implement an anisotropic, incompressible, hyperelastic material for modeling soft collagenous tissue in arterial walls. The hyperelastic material model implemented is based on the articles: Holzapfel, G. A., Gasser, T. C., & Ogden, R. W. (2000), A new ... Read More
Bubble-Induced Entrainment Between Stratified Liquid Layers
This model is a benchmark for three-phase flow commonly used in food processing, pharmaceutical industry, and chemical processing. The results are validated against data reported in the literature. A gas bubble rises through two layers of liquid, a lighter liquid resting on top of a ... Read More
Computing the Radar Cross Section of a Perfectly Conducting Sphere
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
Two-Phase Flow in a Porous Medium: Buckley–Leverett Model
This benchmark models two-phase flow in a porous medium in 1D, where the flow can be analytically described by the Buckley-Leverett equation. Read More
Transfer Impedance of a Perforate
Perforates are plates with a distribution of small perforations or holes. They are used in muffler systems, sound absorbing panels, and in many other places as liners, where it is important to control attenuation precisely. As the perforations become smaller and smaller, viscous and ... Read More