On mathematics of physics of fluids maturation

The explicit nonlinearity permeating Navier–Stokes continuum conservation law statements has challenged fluid mechanics analytical characterization since topic dawning. In testimony to and in recognition of the contributions of Professor Frank M. White to subject knowledge promulgation, this review traces evolution of fluid mechanics mathematical insight successes from earliest times through the half century of computational fluid dynamics (CFD) theorization evolution to present day identification of a totally analytical “mathematics of physics of fluids” spatially filtered Navier–Stokes CFD algorithm/code amenable theorization.