@Siff Well, I will to explain without being too technical ... We don't know how to express the solutions of the system of partial differential equations with a formula which can be interrogated at any point at any time. What can be done is to compute an approximated solution. Usually, the method is to use finite elements on a mesh representing the space. The more fine is that mesh, and the more tight is the time resolution the more it will cost in terms of calculations.

We don't have computers which can go down to 1ms of time resolution, and 1mm³ to represent the space. The size and the time of the calculation with such resolution would show the peak winds but only after a VERY VERY VERY long computation time. A factor 10 in the resolution in space, gives a factor 1000 in the size of the system of equations to be solved. So if you had 1millions equations, chosing a mesh 10 times more fine in all directions, will give you 1 billion equations in place of 1 millions, and this is just for the space. If you do the same for the time also, the factor overall is 10⁴.

So, the problem is at the end the same as if you want to read the newspaper from space, you need the good eyes for this, to get the right resolution. With a grid in time which is one hour, you won't be able to observe phenomenons which are lasting one minute. Period.