Multiscale simulation

Nowadays, we are talking about multiscale simulation. I am surprising that we discussed about multiscale modeling while units are still exist. In my point of view, the multiscale only be achieved if units in general equations were treated.

Imagine that we are describing the world by separating it to various layers, like a book, we call it scales. Let read this book, page by page, we can see the number of pages are increase, however the information between those pages could not be related together. That is, each scale is treated separately by different concepts, thus, multiscale modeling has been an effort today. Since we talk about different scales, we have to talk about different unit, e.g. nanometer and meter, picosecond and second, etc. Therefore the multiscale simulation for those system needs a hurge computational resource. It seems impossible cause the difference of length and time between molecular level and process level are too too big. Even we had big computational resources, there is no concept to link perfectly between those scale. What we could do is collect several parameters from this scale to apply for that scale, that's all.

Why don't we treat the unit before developing the multiscape simulation?

I followed this way with the aim to control scales and theories, by defining those dimensionless concepts:

- Basic time

- Basic length 

- Basic mass

- Basic charge

- Basic scale 

I am trying to merge those concepts to basic equations of mass, momentum and energy with an idea that the terms in those equations are experssed by dimentionless unit with an controlling parameter is the Basic scale.

A challenge for this approach is

- which term should be chosen for each quation in all scale?

- which mechanic should be taken into account?

- how to controll scales by Basic scale?

- how to define properly those dimensionless concept?

If anyone interested, we can discuss together

my email: ngoichson@gmail.com

Regards,

Ssoon