ENGLISH

High Order Methods for Incompressible Fluid Flow

By M. O. Deville , P. F. Fischer , E. H. Mund

Book information

Publisher
Cambridge University Press
Year
2002
ISBN
9780521453097, 0521453097, 0511039468
Open Library ID
OL7741333M
Language
english
Format
PDF
Filesize
8 MB (8903271 bytes)
Edition
1
Pages
529\529
Time added
2010-10-13 10:14:08

Description

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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