#5654
Brian H
Participant

Their English is not fluent, but the following pretty much summarizes the MHD issue:

4.2 The conservation laws of magnetohydrodynamics
4.2.1 Overview
The core of a climate model must be a set of equations describing the equations of fluid flow, namely the Navier-Stokes equations [183, 184]. The Navier-Stokes equations are nonlinear partial differential equations, which, in general, are impossible to solve analytically. In very special cases numerical methods lead to useful results, but there is [are] no systematics for the general case. In addition, the Navier-Stokes approach has to be extended to multi-component problems, which does not simplify the analysis.

Climate modelers often do not accept that climate models are too complex and uncertain to provide useful projections of climate change” [186]. Rather, they claim that current models enable [them] to attribute the causes of past climate change and predict the main features of the future climate with a high degree of condence” [186]. Evidently, this claim (not specifying the observables subject to the prediction) contradicts … what is well-known from theoretical meteorology, namely that the [reli]ability of the weather forecast models is (and must be) rather limited (i.e. … a few days) [187].

The non-sol[ubility] of Navier-Stokes-type equations is related (but not restricted) to the chaotic character of turbulence. But this is not the only reason why the climate modeling cannot be built on … solid ground. Equally importantly, … the full set of equations providing a proper model of the atmospheric system (not to say atmospheric-oceanographic system) are not [fully] known (and never will be) …. All models used for “simulation” are (and have to be) oversimplified. However, in general a set of oversimplified nonlinear partial differential equations exhibits … totally different behavior than a more realistic [and] complex system.

Because there exists no strategy for a stepwise refinement within the spirit of the renormalization (semi-)group, one cannot make any useful predictions. The real world is too complex to be represented properly by a feasible system of equations [suitable] for processing [185]. The only safe statement that can be made is that the … weather is probably governed by a generalized Navier-Stokes-type dynamics.

Tinkertoy wind-tunnel airplanes won’t tell you anything useful.