From Numerical Simulation of Turbulence to a New Paradigm in Computational Fluid Dynamics

A universal spatiotemporal coupling optimal low-dimensional dynamical system algorithm for compressible turbulence which unifies RANS, LES and DNS in the sense of Box filtering/spatial grid averaging and large-scale grids: the LMS method is outlined first. Then the equation error coursed by finite truncation in computational fluid dynamics(CFD) is reported first time. The use of the LMS method can reduce this error, leading to a unified new paradigm in CFD that combines numerical simulation of turbulence with computational fluid dynamics. Finally, a major surprising discovery: The essences of turbulence modelling theory is nothing, but just a part of the equation error coursed by finite truncation in CFD.