Descript 
1 online resource (xxvii, 499 pages) : digital, PDF file(s) 

text txt rdacontent 

computer c rdamedia 

online resource cr rdacarrier 
Series 
Cambridge monographs on applied and computational mathematics ; 9 

Cambridge monographs on applied and computational mathematics ; 9

Note 
Title from publisher's bibliographic system (viewed on 05 Oct 2015) 

Fluid Mechanics and Computation: An Introduction  Viscous Fluid Flows  Mass Conservation  Momentum Equations  Linear Momentum  Angular Momentum  Energy Conservation  Thermodynamics and Constitutive Equations  Fluid Flow Equations and Boundary Conditions  Isothermal Incompressible Flow  Thermal Convection: The Boussinesq Approximation  Boundary and Initial Conditions  Dimensional Analysis and Reduced Equations  Vorticity Equation  Simplified Models  Turbulence and Challenges  Numerical Simulation  Hardware Issues  Software Issues  Algorithms  Advantages of HighOrder Methods  Approximation Methods for Elliptic Problems  Variational Form of BoundaryValue Problems  Variational Functionals  Boundary Conditions  Sobolev Spaces and the LaxMilgram Theorem  An Approximation Framework  Galerkin Approximations  Collocation Approximation  FiniteElement Methods  The hVersion of Finite Elements  The pVersion of Finite Elements  SpectralElement Methods  Orthogonal Collocation  Orthogonal Collocation in a Monodomain  Orthogonal Collocation in a Multidomain  Error Estimation  Solution Techniques  The Conditioning of a Matrix  Basic Iterative Methods  Preconditioning Schemes of HighOrder Methods  Iterative Methods Based on Projection  A Numerical Example  Parabolic and Hyperbolic Problems  Time Discretization Schemes  Linear Multistep Methods  PredictorCorrector Methods  RungeKutta Methods  Splitting Methods 

Highorder 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 highorder numerical methods for the simulation of incompressible fluid flows in complex domains. Introductory chapters present highorder spatial and temporal discretizations for onedimensional problems. These are extended to multiple space dimensions with a detailed discussion of tensorproduct forms, multidomain methods, and preconditioners for iterative solution techniques. Numerous discretizations of the steady and unsteady Stokes and NavierStokes equations are presented, with particular attention given to enforcement of incompressibility. 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 highorder 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 

TAEBDC; 2009 
Link 
Print version: 9780521453097

Subject 
Fluid dynamics

Alt Author 
Fischer, P. F. (Paul F.), author


Mund, E. H. (Ernest H.), author

