stochastical

Even though my primary issue is the relevance or irrelevance of stochastical treatments of 3D compressible N-S and not gaz transfers at the liquid/gaz interface what is the case of Banerjee .

Exponential Growth in Physical Systems « Climate Audit 2007

Or even if one wanted to take the stochastical point of view , what probability of occurence would have a particular point in the phase space calculated by a specific numerical simulation ?

Exponential Growth in Physical Systems « Climate Audit 2007

Now there have been billions of papers in the course of the century handling with the stochastical treatement of N-S .

Exponential Growth in Physical Systems « Climate Audit 2007

But then again not so much because the peer-reviewed paper linked above is using the same set of assumptions stochastical analysis as the “standard” models do and concludes to a cooling .

Exponential Growth in Physical Systems « Climate Audit 2007

I have neither “faith” in the numerical models based on stochastical assumptions nor in frequency analysis using the same assumptions .

Exponential Growth in Physical Systems « Climate Audit 2007

Of course the strong hypothesis that the stochastical way is THE way to solve them is afaik completely out of reach .

Exponential Growth in Physical Systems « Climate Audit 2007

LES cuts off the smaller end by stochastical treatments what enables to reduce the calculation time but is then restricted to much smaller Reynold numbers and is obviously only an approximation that must be checked on a case by case basis .

Exponential Growth in Physical Systems #2 « Climate Audit 2007

It is right that some turbulent systems can be meaningfully treated by stochastical methods but it is wrong to say that every chaotic system can be meaningfully treated that way multidecadal phenomenons are clearly in this case .

Exponential Growth in Physical Systems #2 « Climate Audit 2007

However numerical analysts (LED , RANS) and people dealing with stochastical methods mostly understand nothing about chaos because they precisely look for specific physical cases where chaos can be “eliminated” by considering that small scale phenomenons (small scale is to be understood here both as spatial and temporal) are random .

Exponential Growth in Physical Systems #2 « Climate Audit 2007

IF the climate can be adequately modelled by neglecting the differential equations describing its dynamics and assuming the “long terme averages + noise” hypothesis THEN very obviously the evolution of the “long term averages” will show in any serious stochastical frequency analysis .

Exponential Growth in Physical Systems « Climate Audit 2007