Coarse Graining Turbulence: Modeling and Data-Driven Approaches and their Applications

We live in a turbulent world observed through coarse grained lenses. Coarse graining (CG), however, is not only a limit but also a need imposed by the enormous amount of data produced by modern simulations. Target audiences for our survey are graduate students, basic research scientists, and professionals involved in the design and analysis of complex turbulent flows. The ideal readers of this book are researchers with a basic knowledge of fluid mechanics, turbulence, computing, and statistical methods, who are disposed to enlarging their understanding of the fundamentals of CG and are interested in examining different methods applied to managing a chaotic world observed through coarse-grained lenses.

Fernando F. Grinstein has been a Staff Scientist at Los Alamos National Laboratory since 2005. Grinstein was the 2003–2004 LANL Orson Anderson Distinguished Visiting Scholar, and was Research Physicist at the US Naval Research Laboratory in Washington DC (1983–2005). Grinstein has authored two Cambridge University Press books: 'Implicit LES: Computing Turbulent Flow Dynamics' (2007, 2010) – with Len Margolin and William Rider – and 'Coarse Grained Simulation and Turbulent Mixing' (2016).

Filipe S. Pereira has been Staff Scientist at Los Alamos National Laboratory since 2022, and recently became an Adjunct Professor at the Ocean Engineering Department of Texas A&M University. He received his PhD in Computational Engineering from Instituto Superior Técnico in 2018. His PhD research was conducted at Instituto Superior Técnico, Maritime Research Institute Netherlands, and Texas A&M University. Pereira's research focuses on numerical prediction, turbulence modeling, scale-resolving simulation and Reynolds averaged Navier–Stokes equations modeling, verification, validation, and uncertainty quantification of complex flows.

Massimo Germano joined the Politecnico di Torino in 1965, where he served as Full Professor in Gas Dynamics from 1981 till his retirement in 2012. He is presently an Adjunct Professor at Duke University, Department of Civil and Environmental Engineering. Germano has contributed to the advancement in the field of LES by proposing a new multiscale operational filtering approach based on the generalized central moments. An important application has been the Dynamic Model, developed jointly with Stanford University.