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High Accuracy Computing Methods - Fluid Flows and Wave Phenomena

	High Accuracy Computing Methods - Fluid Flows And Wave Phenomena by Tapan Sengupta
	Price : Rs 1550.00
	Your Price : Rs 1271.00

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

Contents

Foreword
Preface
Chapter 1: Introduction to Scientific Computing
Chapter 2: Governing Equations of Fluid Mechanics
Chapter 3: Classification of Quasi-linear Partial Differential Equations
Chapter 4: Waves and Space-time Dependence in Computing
Chapter 5: Spatial and Temporal Discretizations of Partial Differential Equations
Chapter 6: Solution Methods for Parabolic Partial Differential Equations
Chapter 7: Solution Methods for Elliptic Partial Differential Equations
Chapter 8: Solution of Hyperbolic PDEs: Signal and Error Propagation
Chapter 9: Curvilinear Coordinates and Grid Generation
Chapter 10: Spectral Analysis of Numerical Schemes and Aliasing Error
Chapter 11: Higher Accuracy and Higher Order Methods
Chapter 12: Introduction to Finite Volume and Finite Element Methods
Chapter 13: Solution of Navier–Stokes Equation
Chapter 14: Recent Developments in Discrete Computing
Exercises
References
Index

ISBN - 9781107023635

Pages : 586