High Accuracy Computing Methods (Hardcover)

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 multiple locations in the US or from the UK, depending on stock availability.…