Mathematical Physics


Searching for Waves in the Incompressible Navier-Stokes Equations - The Adventure

Authors: Aubery D.

This article traces a journey of discovery undertaken to search for wave phenomena in the incompressible Navier-Stokes equations. From the early days of my interest in Computational Fluid Dynamics (CFD) used for consulting purposes, and the use of various commercial solvers eventually leading to research programs, at a number of universities, spanning a number of years. It reviews research programs at Dortmund University (Dortmund, Germany), and this author’s post-graduate study at Chulalongkorn University (Bangkok, Thailand). During the latter, it was noticed that flow solutions became unstable when certain combinations of parameters were used - especially when real-life density and viscosity were used. Clarity was needed. This author had a perception that this research could lead to an understanding of the turbulence phenomenon, Tensor calculus was used to understand the macro nature of the NS Equations, and to place them firmly into the family of wave equations. My research continued in private for some 15 years, with the occasional presentation of findings at conferences, and an internet blog. In recent months major breakthroughs have been made, and now the evidence for wave phenomena is convincingly demonstrated.

Comments: 29 Pages.

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Submission history

[v1] 2019-12-01 03:03:07
[v2] 2019-12-06 02:25:29

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