Tou Visualization of Fields and Applications in Engineering

1. Auflage 2011
ISBN: 978-0-470-97846-7
Verlag: John Wiley & Sons
Format: EPUB
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)

E-Book, Englisch, 384 Seiten, E-Book

Driven by advances in computer technology, engineering analysis hasdeveloped rapidly and extensively in recent times; Visualizationof Fields and Applications in Engineering presents the basictechniques for tensor field visualization and mapping ofengineering data. Focusing on the fundamental aspects of postprocessing databases and applications outputs, the author exploresexisting theories and their integration in tensor fieldvisualization and analysis. The subject covers fundamental theoriesthrough to integrated, multi-disciplinary technologies withpractical applications in engineering, computer /general sciences.
Visualization of Fields and Applications in Engineeringis suitable for academic use and to serve as a source of reference.It will appeal to those who work in the engineering and scienceprofessions or in pursuit of academic training/ research.
* Offers a unique engineering approach to basic techniques fortensor field visualization and mapping
* Collates together material currently disseminated throughoutthe literature into one accessible point of reference
* Presents examples with applications beyond and across manydisciplines.

Autoren/Hrsg.

Tou, Stephen

Inhaltsverzeichnis

Preface.
1 Introduction.
1.1 A General View.
1.2 Historical Development and Progress in Visual Science.
1.3 Scientific Visualization Philosophy, Techniques andChallenges.
2 Field Descriptions and Kinematics.
2.1 Lagrangian/Eulerian Description and Transformation.
2.2 Curvilinear Coordinates.
2.3 Field Kinematics and Visual Attributes.
3 Field Model, Representation and Visualization.
3.1 Field Models and Concepts.
3.2 Scalar Fields and Representation.
3.3 Vector Fields and Representation.
3.4 Vector Icons and Classifications.
3.5 Scalar Potential.
3.6 Vector Potential.
3.7 Vector Field Specification.
3.8 Tensor Contraction and Transport Process Visualization.
3.9 Multiple Fields.
4 Complex Analysis and Complex Potentials.
4.1 Complex Variables/Functions and Applications.
4.2 Complex Analysis and Cauchy-Riemann Equation.
4.3 Differentiation of Complex Function.
4.4 Integration of Complex Functions.
4.5 Visualization of Complex Potentials.
4.6 Example 4.1a Visualization of Heat and Fluid Transport in aCorner.
5 Field Mapping and Applications.
5.1 Introduction.
5.2 Mapping of Euclidean Geometry.
5.3 Inversion Mapping.
5.4 Mapping with Complex Functions.
5.5 Conformal Mapping and Applications.
5.6 Hodograph Method and Mapping.
5.7 Hodograph Representations and Applications.
5.8 Example 4.1b Mapping of Field Patterns and ImageWarping.
6 Tensor Representation, Contraction andVisualization.
6.1 Introduction.
6.2 Development of Tensor Visualization Techniques.
6.3 Tensor Description and Representation.
6.4 Tensor Decomposition and Tensor Rank Reduction.
6.5 Visualization of Symmetric Tensors.
6.6 Visualization of Antisymmetric Tensors.
6.7 Example: 4.1c Convective Momentum Flux TensorVisualization.
7 Critical Point Topology, Classification andVisualization.
7.1 Introduction.
7.2 Complex Analysis of Critical Point.
7.3 Critical Point Theory and Classification.
7.4 Example 4.1d Critical Point Topology.
7.5 Singular Point Visualization and Mapping.
7.6 Example 7.1 Mapping of a Point Source.
8 Engineering Application Examples.
8.1 Example 8.1: Torsion of a Square Beam.
8.2 Example 8.2: Bending of a Cantilever Beam Subject to a PointLoad.
8.3 Example 8.3: Squeezing Flow and Vorticity Transport.
8.4 Example 8.4: Groundwater Flows in an Anisotropic PorousMedium.
References.
Index.