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 ...
This model demonstrates the ability to simulate Multibody Dynamics in COMSOL. It comprises a multilink mechanism that is used in an antique automobile as a gearshift lever. It was created out of curiosity to find out how large forces are on the individual components. The model uses flexible parts, i.e. the Structural Mechanics Module was used along with the Multibody Dynamics Module.
The use of Aluminum (Al) isolator is a commonly employed mitigation strategy for galvanic corrosion between magnesium alloy (Mg) and mild steel (MS). The present model demonstrates the effect of Al isolator thickness on galvanic corrosion severity using a parametric study. The electrode kinetics is implemented here using the experimental polarization data available in literature.
This model simulates a static analysis of heat conduction in a thin conductive shell. This is a benchmark model where the result is compared with a NAFEMS benchmark solution.
This example illustrates a multiphysics application that involves a fluid-structure interaction. It simulates a filled milk container on a conveyor belt, which starts moving. The methodology presented here defines two problems, one for the container walls and one for the fluid. The two problems are subsequently merged into one problem using a special interface condition that imposes ...
A thick wall cylinder is exposed to both internal and external pressure and thermal load. The model is both plane and axisymmetric. The results are compared to the analytic solution.
This tutorial model of the Joule heating effect in a busbar demonstrates how to synchronize an assembly between Pro/ENGINEER and COMSOL, how to modify the geometry from COMSOL, and how to run a geometric parametric sweep.
Multipaction can occur when electrons are accelerated by a high frequency RF field into surfaces. Secondary electron emission can occur and under the right conditions there can be an exponential growth in the number of electrons. The multipaction effect is strongest at a specific RF frequency, which depends on the dimensions of the device and the applied voltage.\n\nThis model requires the ...
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".
This tutorial shows how to perform virtual geometry operations on an imported CAD geometry. These virtual operations, such as form composite entities or ignore entities can help to improve the mesh and reduce the total element number.