High-Order Methods for Incompressible Fluid Flow
This book is an advanced textbook on high-order methods for incompressible fluid flow. Its intended audience includes engineers, numerical analysts, computational scientists, and students with a background in numerical methods and fluid mechanics.
Format: Hardcover, English, 499 pages
Have you read this book? Write your own Review
Write the first review of this book.
High-order numerical methods provide an efficient approach to simulating many physical problems. This book considers the range of mathematical, engineering, and computer science topics that form the foundation of high-order numerical methods for the simulation of incompressible fluid flows in complex domains. Introductory chapters present high-order spatial and temporal discretizations for one-dimensional problems. These are extended to multiple space dimensions with a detailed discussion of tensor-product forms, multidomain methods, and preconditioners for iterative solution techniques. Numerous discretizations of the steady and unsteady Stokes and Navier-Stokes equations are presented, with particular attention give to enforcement of incompressibility. Advanced discretizations, implementations issues, and parallel and vector performance are provided throughout to illustrate the capabilities of high-order methods in actual applications. Computer scientists, engineers, and applied mathematicians interested in developing software for solving flow problems will find this book a valuable reference.
Table of Contents
|1||Fluid Mechanics and Computation: An Introduction|
|2||Approximation Methods for Elliptic Problems|
|3||Parabolic and Hyperbolic Problems|
|5||Steady Stokes and Navier-Stokes Equations|
|6||Unsteady Stokes and Navier-Stokes Equations|
|8||Vector and Parallel Implementations|
|A||Preliminary Mathematical Concepts|
|B||Orthogonal Polynomials and Discrete Transforms|