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This book presents topics in a single source format using unified spectral theory of computing. With developments of DNS and LES, practitioners are rediscovering waves as important in fluid flows, and capturing these numerically is central to high accuracy computing. Analysis of waves and its use in numerical methods in propagating energy at the right velocity (dispersion effects) and with right amplitude (dissipation) are essential. Most industrial codes using Reynolds-averaged Navier-Stokes equations with turbulence models cannot conceive of capturing waves. The new themes covered in this book are: • Correct error propagation analysis • Practical compact schemes and global analysis tool • Aliasing error and its alleviation • Spurious upstream propagating q-waves • Explanation of the Gibbs phenomenon • New 1D and 2D filters for LES/DNS without SGS modelling • Anisotropic skewed wave propagation • Development and analysis of dispersion relation preservation (DRP) schemes • Flow instabilities and wave propagation phenomena
Fluid dynamics --- Wave mechanics --- Spectrum analysis --- Data processing.
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"Present understanding of transition to turbulence has now been studied over one hundred and fifty years. The path the studies have taken posed it as a modal eigenvalue problem. Some researchers have suggested alternative models without being specific. First-principle based approach of receptivity is the route to build bridges among ideas for solving the Navier-Stokes equation for specific canonical problems. This book highlights the mathematical physics, scientific computing, and new ideas and theories for nonlinear analyses of fluid flows, for which vorticity dynamics remain central. This book is a blend of classic with distinctly new ideas, which establish different dynamics of flows, from genesis to evolution of disturbance fields with rigorously developed methods to tracing coherent structures amidst the seemingly random and chaotic fluid dynamics of transitional and turbulent flows"--
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The articles in the book treat flow instability and transition starting with classical material dealt with in an innovative and rigorous way, some newer physical mechanisms explained for the first time and finally with the very complex topic of bombustion and two-phase flow instabilities.
Combustion --Mathematical models. --- Fluid dynamics --Mathematical models. --- Fluid dynamics. --- Heat-transfer media. --- Fluid dynamics --- Heat-transfer media --- Combustion --- Engineering & Applied Sciences --- Civil & Environmental Engineering --- Applied Physics --- Civil Engineering --- Mathematical models --- Mathematical models. --- Heat-transmission media --- Thermal-transfer media --- Engineering. --- Fluids. --- Fluid mechanics. --- Automotive engineering. --- Engineering Fluid Dynamics. --- Automotive Engineering. --- Fluid- and Aerodynamics. --- Heat --- Dynamics --- Fluid mechanics --- Transmission --- Hydraulic engineering. --- Construction --- Industrial arts --- Technology --- Engineering, Hydraulic --- Engineering --- Hydraulics --- Shore protection --- Mechanics --- Physics --- Hydrostatics --- Permeability --- Hydromechanics --- Continuum mechanics
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