Applied Computational Fluid Dynamics Techniques An Introduction Based on Finite Element Methods

by Lö; hner, Rainald

• ISBN13: 9780470519073
• ISBN10: 047051907X
• Edition: 2nd
• Format: Hardcover
• Copyright: 2008-04-28
• Publisher: Wiley

Summary

Computational fluid dynamics (CFD) is concerned with the efficient numerical solution of the partial differential equations that describe fluid dynamics. CFD techniques are commonly used in the many areas of engineering where fluid behavior is an important factor. Traditional fields of application include aerospace and automotive design, and more recently, bioengineering and consumer and medical electronics. With Applied Computational Fluid Dynamics Techniques, 2nd edition, Rainald Lohner introduces the reader to the techniques required to achieve efficient CFD solvers, forming a bridge between basic theoretical and algorithmic aspects of the finite element method and its use in an industrial context where methods have to be both as simple but also as robust as possible.This heavily revised second edition takes a practice-oriented approach with a strong emphasis on efficiency, and offers important new and updated material on;Overlapping and embedded grid methods Treatment of free surfaces Grid generation Optimal use of supercomputing hardware Optimal shape and process designApplied Computational Fluid Dynamics Techniques, 2nd edition is a vital resource for engineers, researchers and designers working on CFD, aero and hydrodynamics simulations and bioengineering. Its unique practical approach will also appeal to graduate students of fluid mechanics and aero and hydrodynamics as well as biofluidics.

Author Biography

Rainald Lohner, Department of Computational and Data Sciences, 4400 University Drive, Fairfax, Virginia 22030, USA? Rainald Lohner gained his PhD from the University of Wales, Swansea. He is now a director of the Computational Fluid Dynamics Center of the Department of Computational and Data Sciences at George Mason University, Virginia, USA. His research interests include Fluid-Structure Interaction, Unstructured Grid Generation, Pre-Processing, and Parallel Computing.? Notable achievements include a Distinguished Professor award 'for his substantive and innovative contributions to the field of computational fluid dynamics' by GMU and being a made a Honorary Professor of the University of Wales at Swansea.

Table of Contents

Foreword To The Second Edition.

Acknowledgements

Introduction And General Considerations

The CFD code

Porting research codes to an industrial context

Scope of the book

Data Structures And Algorithms

Representation of a grid

Derived data structures for static data

Derived data structures for dynamic data

Sorting and searching

Proximity ins pace

Nearest-neighbours and graphs

Distance to surface

Grid Generation

Description of the domain to be gridded

Variation of element size and shape

Element type

Automatic grid generation methods

Other grid generation methods

The advancing front technique

Delaunay triangulation

Grid improvement

Optimal space-filling tetrahedra

Grids with uniform cores

Volume-to-surface meshing

Navier-Stokes gridding techniques

Filling space with points/arbitrary objects

Applications

Approximation Theory

The basic problem

Choice of trial functions

General properties of shape functions

Weighted residual methods with local functions

Accuracy and effort

Grid estimates

Approximation Of Operators

Taxonomy of methods

The Poisson operator

Recovery of derivatives

Discretization In Time

Explicit schemes

Implicit schemes

Awordof caution

Solution Of Large Systems Of Equations

Direct solvers

Iterative solvers

Multigrid methods

SImple Euler/Navier-Stokes Solvers

Galerkin approximation

Lax-Wendroff (Taylor-Galerkin)

Solving for the consistent mass matrix

Artificial viscosities

Boundary conditions

Viscous fluxes

FLux-Corrected Transport Schemes

The FCT Concept

Algorithmic implementation

Steepening

FCT for Taylor-Galerkin schemes

Iterative limiting

Limiting for systems of equations

Examples

Summary

Edge-Based Compressible Flowsolvers

The Laplacian operator

First derivatives: first form

First derivatives: second form

Edge-based schemes for advection-dominated PDEs

INcompressible Flowsolvers

The advection operator

The divergence operator

Artificial compressibility

Temporal discretization:projection schemes

Temporal discretization: implicit schemes

Temporal discretization of higher order

Acceleration to the steady state

Projective prediction of pressure increments

Examples

Mesh Movement

The ALE frame of reference

Geometric conservation law

Mesh movement algorithms

Region of moving elements

PDE-based distance functions

Penalization of deformed elements

Special movement techniques for RANS grids

Rotating parts/domains

Applications

Interpolation

Basic interpolation algorithm

Fastest 1-timealgorithm:brute force

Fastest N-time algorithm: octree search

Fastest known vicinity algorithm: neighbour-to-neighbour

Fastest grid-to-grid algorithm: advancing-front vicinity

Conservative interpolation

Surface-grid-to-surface-grid interpolation

Particle-grid interpolation

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