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 example demonstrates how to set up the classical external-flow problem of solving for the high-speed, compressible, turbulent flow over the ONERA-M6 wing. The problem involves finding a steady-state solution of the flow field around the 3D, swept wing geometry, immersed in a ... 詳細を見る
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. 詳細を見る
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. 詳細を見る
Tonpilz トランスデューサーは, 比較的低周波で高出力の音響放射に使用されます. これは, ソナー用途で広く使用されているトランスデューサー構成の1つです. このトランスデューサーは, 中央のボルトで接続されたヘッドマスとテールマスの間に積層された圧電セラミックリングで構成されています. この例では, ボルトの事前応力の影響を組み込む方法を示します. ボルトの形状は部品ライブラリからインポートされます. 周波数応答は, 変形, 応力, 放射電力, 音圧レベル, 送信電圧応答 (TVR) 曲線, 音波ビームの指向性指数 (DI) ... 詳細を見る
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 ... 詳細を見る
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 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. 詳細を見る
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 ... 詳細を見る
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 ... 詳細を見る
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. 詳細を見る