EAN: 9783030170110

HIGH-PERFORMANCE COMPUTING OF BIG DATA FOR TURB...

This book provides state-of-art information on high-accuracy scientific computing and its
future prospects  as applicable to the broad areas of fluid mechanics and combustion  and
across all speed regimes. Beginning with the concepts of space-time discretization and
dispersion relation in numerical computing  the foundations are laid for the efficient solution
of the Navier-Stokes equations  with special reference to prominent approaches such as LES  DES
and DNS. The basis of high-accuracy computing is rooted in the concept of stability  dispersion
and phase errors  which require the comprehensive analysis of discrete computing by rigorously
applying error dynamics. In this context  high-order finite-difference and finite-volume
methods are presented. Naturally  the coverage also includes fundamental notions of
high-performance computing and advanced concepts on parallel computing  including their
implementation in prospective hexascale computers. Moreover  the book seeks to raise the bar
beyond the pedagogical use of high-accuracy computing by addressing more complex physical
scenarios  including turbulent combustion. Tools like proper orthogonal decomposition (POD) 
proper generalized decomposition (PGD)  singular value decomposition (SVD)  recursive POD  and
high-order SVD in multi-parameter spaces are presented. Special attention is paid to bivariate
and multivariate datasets in connection with various canonical flow and heat transfer cases.
The book mainly addresses the needs of researchers and doctoral students in mechanical
engineering  aerospace engineering  and all applied disciplines including applied mathematics 
offering these readers a unique resource.

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