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 Ahmed body represents a simplified, ground vehicle geometry of a bluff body type. Its shape is simple enough to allow for accurate flow simulation but retains some important practical features relevant to automobile bodies. This model describes how to calculate the turbulent flow ... Read More
This example simulates 3D unsteady laminar flow past a cylinder in a channel. The inflow velocity profile is time-varying. The lift and drag coefficients are computed, and results show good agreement with those published in the literature. Read More
A tonpilz transducer is used for relatively low frequency, high power sound emission. It is one of the popular transducer configurations for SONAR applications. The transducer consists of piezoceramic rings stacked between a head mass and a tail mass which are connected by a central ... Read More
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
This example is a benchmark problem for simulating phase change in porous media. It studies the melting process of an ice inclusion within porous media and therefore demonstrates how to couple Darcy's Law with the Heat Transfer in Porous Media interface including phase change. Read More
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. Read More
This example models an oil reservoir with two horizontal wells. The reservoir contains two phases, water and oil. Oil is recovered by injecting water through the bottom well, so the oil production rate and the water-oil production ratio over time are computed. Read More
This example illustrates multiphase flow modeling in an airlift loop reactor. The reactor is filled with water and air bubbles are injected at the bottom through two frits. Due to buoyancy, the bubbles rise, inducing a circulating motion of the liquid. The model specifically investigates ... 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 solves Poisson's equation on a unit disk with a point source at the origin. The mesh density is higher close to the origin to resolve the singularity. The computed solution is compared to the analytical solution. Read More