Stephen Tou

Visualization of Fields and Applications in Engineering (eBook, ePUB)

• Format: ePub

Produktbeschreibung

Driven by advances in computer technology, engineering analysis has developed rapidly and extensively in recent times; Visualization of Fields and Applications in Engineering presents the basic techniques for tensor field visualization and mapping of engineering data. Focusing on the fundamental aspects of post processing databases and applications outputs, the author explores existing theories and their integration in tensor field visualization and analysis. The subject covers fundamental theories through to integrated, multi-disciplinary technologies with practical applications in engineering, computer /general sciences. Visualization of Fields and Applications in Engineering is suitable for academic use and to serve as a source of reference. It will appeal to those who work in the engineering and science professions or in pursuit of academic training/ research. * Offers a unique engineering approach to basic techniques for tensor field visualization and mapping * Collates together material currently disseminated throughout the literature into one accessible point of reference * Presents examples with applications beyond and across many disciplines.

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Produktdetails

• Verlag: John Wiley & Sons
• Seitenzahl: 384
• Erscheinungstermin: 21. April 2011
• Englisch
• ISBN-13: 9780470978467
• Artikelnr.: 37301249

Autorenporträt

Stephen Tou, National University, San Diego, USA Dr Stephen Tou joined the National University in San Diego, USA as an Adjunct Professor in 2006, having previously been with the Department of Mechanical and Aerospace Engineering at Nanyang Technological University, Singapore as an associate professor for 20 years. He teaches a graduate course in transport phenomena and undergraduate courses in fluid mechanics, energy systems & heat transfer, environmental fluid mechanics, energy conversion systems and machinery, and engineering mathematics. He has published circa 60 refereed journal papers and 20 conference papers.

Inhaltsangabe

Preface. 1 Introduction. 1.1 A General View. 1.2 Historical Development and
Progress in Visual Science. 1.3 Scientific Visualization Philosophy,
Techniques and Challenges. 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 a Corner. 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 Image Warping. 6 Tensor
Representation, Contraction and Visualization. 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 Tensor Visualization. 7
Critical Point Topology, Classification and Visualization. 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 Point Load. 8.3 Example 8.3: Squeezing Flow and Vorticity Transport. 8.4
Example 8.4: Groundwater Flows in an Anisotropic Porous Medium. References.
Index.