Group: sci.physics.computational.fluid-dynamics
From: Jan Gerrit Kootstra
Date: Thursday, August 30, 2007 2:48 PM
Subject: Re: An efficient way to find the averge of a perodic solution....

@ wrote:
> Hello all,
>
> Suppose I am solving an IVP using one of MATLAB solvers, and the
> solution of such problem is expected to oscillate with time. My
> interst is to find the averge or mean value of one of the solution
> components over time. One straightforward way to do this is to solve
> the problem over large time interval in order to get rid of the effect
> of the distrubance the will result from the initial condition, and
> then use MATLAB function mean to find the averge value.
>
> This technique, however, seems for me ineffiecent since there should
> be no need to repeat the simulation over and over as long as the
> solution is perodic and everything would be repeated. So, I am sharing
> my thoughts with you to see if people around have ideas or tricks to
> do this.
>
> One thing I am thinking of is SOMEHOW to measure the wave-length of
> the solution during the simulation and to stop when t reaches 10*wave-
> length, for example. But, the diffuculty is that I am doing a
> continuation simulation & the problem depends on some parameters, like
> Reynolds number, that will change each time we solve the problem and
> accordingly the wave length will be different.
>
> I would appreciate your ideas. Thanks for any help in advance,
>
> Tai
>
Tai,


It might sound stupid, but what is an IVP?


Best regards,


Jan Gerrit Kootstra