モデル・ギャラリー

The Model Gallery features COMSOL Multiphysics model files from a wide variety of application areas including the electrical, mechanical, fluid, and chemical disciplines. You can download ready-to-use models and step-by-step instructions for building the model, and use these as a starting point for your own modeling work. Use the Quick Search to find models relevant to your area of expertise, and login or create a COMSOL Access account that is associated with a valid COMSOL license to download the model files.

The Black-Scholes Equation

The Black-Scholes equation, computes the value u of a European stock option. Black-Scholes derived an analytical expression for the solution to this problem. However, the formula works only for certain cases; for instance, you cannot employ it when sigma and r are functions of x and t. Here, sigma denotes the volatility, r the continuous compounding rate of interest, and x the underlying asset ...

Electric Heating in a Busbar, Modeled with LiveLink for Inventor

This tutorial model of the Joule heating effect in a busbar demonstrates how to synchronize an assembly between Inventor and COMSOL, how to modify the geometry from COMSOL, and how to run a geometric parametric sweep.

TM Mode Microwave Plasma

This model shows how to simulate a TM mode microwave plasma by using the Doppler broadening parameter to smooth out the resonance zone, which occurs on the contour of critical electron density. A detailed explanation of the underlying physics of this model can be found in the blog entry "Application Note on Microwave Discharges".

Thermal Bridges in Building Construction—2D Square Column

This example studies heat transfer in a square column. Cold and hot temperature conditions are applied to the boundaries. Due to the symmetry of the problem, the geometry is simplified to half of the square. The temperature field is compared with the analytic data. This example corresponds to the case 1 described in the European standard EN ISO 10211:2007 for thermal bridges in building ...

Optimization of a Tuning Fork, Modeled with LiveLink for SolidWorks

This model computes the fundamental eigenfrequency and eigenmode for a tuning fork that is synchronized from SolidWorks via the LiveLink interface. The length of the fork is then optimized so that the tuning fork sounds the note A, 440 Hz.

Thermal Performances of Roller Shutters

During the design of a building, environmental issues have gained considerable influence in the entire project. One of the first concerns is to improve thermal performances. In this process, simulation software are key tools to model thermal losses and performances in the building. The international standard ISO 10077-2:2012 deals with thermal performance of windows, doors and shutters. It ...

Perforated Well

Analysis of fluid flow into wells often begins with the assumption that the intake fluid is uniform along the entire length of wellbore. This assumption runs into trouble when applied to the modeling of perforated wells. When these wells are emplaced, the deep bore hole is lined by impermeable materials. Later a machine pierces the lining intake fluids in the productive reservoir zones and ...

Squeeze Film Disc

This benchmark model computes the total force acting on a vibrating disc in the frequency and time domains and compares both results with expressions derived analytically. When the vibration amplitude is small enough that the system is linear the frequency and time domain results agree well with theory. Larger amplitude vibrations, which result in a non-linear response that cannot be modeled in ...

1D Step Bearing

This benchmark model computes the load-carrying capacity of a one dimensional hydrodynamic step bearing. The results are compared with analytic expressions obtained by solving the Reynolds equations directly in this simple case.

The Blasius Boundary Layer

The incompressible boundary layer on a flat plate in the absence of a pressure gradient is usually referred to as the Blasius boundary layer. The steady, laminar boundary layer developing downstream of the leading edge eventually becomes unstable to Tollmien-Schlichting waves and finally transitions to a fully turbulent boundary layer. Due to its fundamental importance, this type of flow has ...

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