High Accuracy Computing Methods (Hardcover)

Tapan Sengupta

ISBN 10: 1107023637 / ISBN 13: 9781107023635

Published by Cambridge University Press, Cambridge, 2013

About this Item

Hardcover. 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 NavierStokes 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 This book systematically develops scientific computing from classical approaches describing equations of motion; classifying, discretizing and solving parabolic, elliptic, hyperbolic PDEs; curvilinear co-ordinates and structured meshing techniques; classical FVM and FEM and solving NavierStokes equations by FDM to its present state in high accuracy computing. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability.

Seller Inventory # 9781107023635

Bibliographic Details

• Title: High Accuracy Computing Methods (Hardcover)
• Publisher: Cambridge University Press, Cambridge
• Publication Date: 2013
• Language: English
• ISBN 10: 1107023637
• ISBN 13: 9781107023635
• Binding: Hardcover
• Condition: new

About this title

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

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.