High Accuracy Computing Methods: Fluid Flows and Wave Phenomena - Hardcover

Sengupta, Tapan

 
9781107023635: High Accuracy Computing Methods: Fluid Flows and Wave Phenomena
Hardcover
ISBN 10: 1107023637 ISBN 13: 9781107023635
Publisher: Cambridge University Press, 2013

Synopsis

High Accuracy Computing Methods 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 equation 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 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

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Book Description

This book systematically develops scientific computing from classical approaches - describing equations of motion; classifying, discretizing and solving parabolic, elliptic, hyperbolic PDE's; curvilinear co-ordinates and structured meshing techniques; classical FVM and FEM and solving Navier-Stokes equation by FDM - to its present state in high accuracy computing.

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Publisher
Cambridge University Press
Publication date
2013
Language
English
ISBN 10 
1107023637
ISBN 13 
9781107023635
Binding
Hardcover
Edition number
1
Number of pages
586