Using the Monte Carlo Method to Estimate the Value of Pi
Application ID: 127901
A classic way of estimating pi is by using the Monte Carlo method. This involves randomly placing points inside a square and counting how many lie within a circle inscribed in the square. The ratio of points inside the circle to the number of points in total can be used to approximate pi, with more points leading to greater accuracy.
This simulation application is created from a model that uses particle tracing to estimate the value of pi with the Monte Carlo method. The app offers the user the ability to vary the number of points, and it provides the estimated value and the error from the true value. In addition, the app helps demonstrate the ease of creating and using apps with the COMSOL Multiphysics® software.
This application example illustrates applications of this type that would nominally be built using the following products:
however, additional products may be required to completely define and model it. Furthermore, this example may also be defined and modeled using components from the following product combinations:
The combination of COMSOL® products required to model your application depends on several factors and may include boundary conditions, material properties, physics interfaces, and part libraries. Particular functionality may be common to several products. To determine the right combination of products for your modeling needs, review the 製品仕様一覧 and make use of a free evaluation license. The COMSOL Sales and Support teams are available for answering any questions you may have regarding this.