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
General
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