High Order Methods for Incompressible Fluid Flow

✍ Scribed by M. O. Deville, P. F. Fischer, E. H. Mund

Publisher: Cambridge University Press
Year: 2002
Tongue: English
Leaves: 529
Edition: 1
Category: Library

No coin nor oath required. For personal study only.

✦ Synopsis

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, multi-domain methods, and preconditioners for iterative solution techniques. Numerous discretizations of the steady and unsteady Stokes and Navier-Stokes equations are presented, with particular sttention given to enforcement of imcompressibility. Advanced discretizations. implementation issues, and parallel and vector performance are considered in the closing sections. Numerous examples are provided throughout to illustrate the capabilities of high-order methods in actual applications.

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