I was posed a question by an anonymous follower whether the following animation could be easily simulated on a computer.
In today’s world, lots of research are being aided by using numerical methods. But it is quintessential to note that computational methods alone are not enough to dictate behavior of the natural world. It is with the amalgamation of experiments that it’s beauty exemplifies.
The butterfly effect
One of the many reasons its hard to predict behavior ( say the weather for instance ) is primarily because of the errors that are induced whilst recording it.
And these errors evolve with time. Let’s take the trivial example of a double pendulum.
Notice how a slight variation in initial angle with horizontal axis of the blue pendulum causes a huge aberration in the result.
Flow past a cylinder
When experiments are carried out under controlled conditions, it is possible to observe and simulate phenomenon.
But like it was pointed out before,the simulation per se is proportional to the accuracy of the instruments used to make the measurements themselves.
So, yeah it is possible to simulate a system such as the one asked, considering crucial boundary conditions are known to us with considerable precision.
And as the complexity of the problem evolves, the computation time and power required also increases exponentially.