The Application Gallery features COMSOL Multiphysics® tutorial and demo app files pertinent to the electrical, structural, acoustics, fluid, heat, and chemical disciplines. You can use these examples as a starting point for your own simulation work by downloading the tutorial model or demo app file and its accompanying instructions.
Search for tutorials and apps relevant to your area of expertise via the Quick Search feature. Note that many of the examples featured here can also be accessed via the Application Libraries that are built into the COMSOL Multiphysics® software and available from the File menu.
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. ... Read More
This benchmark example builds two models of a cross-bridge Kelvin resistor used for extracting the specific contact resistivity. The first model simulates the system in 3D, using the contact resistance feature built in the Semiconductor interface. The other model is a 2D approximation of ... Read More
This model demonstrates the switching capability of a liquid crystal (LC) display cell in In-Plane Switching (IPS) configuration. The Oseen-Frank model is used to solve for the LC director (optical axis) distribution when a static electric field is applied. A Weak Form PDE interface is ... Read More
The Helmholtz filter is a popular technique for imposing a minimum length scale in structural topology optimization, but certain applications also call for a maximum length scale. This model demonstrates how to achieve this using an extra PDE filter. Read More
A goal for many applications is to predict physics in thin structures, such as shells, without modeling the thickness of the structure. This is because large aspect ratios can cause meshing and geometry analysis problems. This model demonstrates how to use the tangential derivative ... Read More
Quantum dots are nano- or microscale devices created by confining free electrons in a 3D semiconducting matrix. Those tiny islands or droplets of confined “free electrons” (those with no potential energy) present many interesting electronic properties. They are of potential importance ... Read More
Striking a drum excites a spectrum of vibration modes that together make up the instrument’s characteristic sound or acoustic signal. These vibration modes correspond to the eigenmodes, or eigenfunctions, of the drum’s membrane. Thus you can study this problem by solving eigenvalue ... Read More
This example resembles the well-known double-slit interference experiment often demonstrated in schools with water waves or sound. The model mimics the plane-wave excitation with two thin waveguides leading to slits in a screen and computes the diffraction pattern on the opposite side of ... Read More
The Shallow Water equations are frequently used for modeling both oceanographic and atmospheric fluid flow. Models of such systems lead to the prediction of areas eventually affected by pollution, coast erosion and polar ice-cap melting. Comprehensive modeling of such phenomena using ... Read More
This model demonstrates how to simulate the propagation of guided waves in a dielectric S-bent optical waveguide. The model demonstrates that the phase approximation, required by the Electromagnetic Waves, Beam Envelopes interface, can be numerically calculated by solving an additional ... Read More