Today – August 19, 2020 – I restart in EARNEST this blog and Website. Promise!

I last posted  AShortPaperOnTheoreticalTurbulence three years to the day. Since then life happened with weddings and new children in the family. But my research continued at a slow pace.

Over the last few months, I have been greatly encouraged by the work of Lee & Moser at UTexas on high Reynolds Number Channel Flows. Even more persuasive for my purposes is the work of Mortensen & Langtangen at UOslo using Python for DNS studies of both decaying (HIT) and channel (PPF) turbulent flows.

I believe that extrapolations from the Python code will allow me to develop a rational and analytic theory of Turbulence. A tall order to be sure.

Today, I publish https://randomtheoryofturbulence.com/wp-content/uploads/2020/08/isthereasolution.200724r.pdf . This paper proposes that there IS a rational analytic solution to decaying and steady turbulence problems including HIT and PPF. By this we mean that there exist functions by which we can construct a solution to (say) PPF for a given Reynolds number without simulation or resorting to the equations of motion. See the paper for details.

I promise to add to this blog monthly with results and progress.