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"Fluid dynamics Mathematics."
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A Physical Introduction to Suspension Dynamics
2012
Understanding the behaviour of particles suspended in a fluid has many important applications across a range of fields, including engineering and geophysics. Comprising two main parts, this book begins with the well-developed theory of particles in viscous fluids, i.e. microhydrodynamics, particularly for single- and pair-body dynamics. Part II considers many-body dynamics, covering shear flows and sedimentation, bulk flow properties and collective phenomena. An interlude between the two parts provides the basic statistical techniques needed to employ the results of the first (microscopic) in the second (macroscopic). The authors introduce theoretical, mathematical concepts through concrete examples, making the material accessible to non-mathematicians. They also include some of the many open questions in the field to encourage further study. Consequently, this is an ideal introduction for students and researchers from other disciplines who are approaching suspension dynamics for the first time.
The finite element method for fluid dynamics
by
Zienkiewicz, O. C.
,
Taylor, R. L.
,
Nithiarasu, Perumal
in
Finite element method
,
Fluid dynamics
,
Fluid dynamics -- Mathematics
2014,2013
The Finite Element Method for Fluid Dynamics offers a complete introduction the application of the finite element method to fluid mechanics.The book begins with a useful summary of all relevant partial differential equations before moving on to discuss convection stabilization procedures, steady and transient state equations, and numerical.
Numerical Methods In Thermal Management Of Electronic Systems
2005
Numerical methods in thermal management of electronic systems This special issue brings together a number of papers dealing with the topic of heat and fluid flow, which are important in the thermal management of electronic systems. As the miniaturization of the electronic systems is proceeding at a rapid rate, the thermal problems are becoming more acute as they affect the performance and the reliability of the product.
Adaptive high-order methods in computational fluid dynamics
This book consists of important contributions by world-renowned experts on adaptive high-order methods in computational fluid dynamics (CFD). It covers several widely used, and still intensively researched methods, including the discontinuous Galerkin, residual distribution, finite volume, differential quadrature, spectral volume, spectral difference, PNPM, and correction procedure via reconstruction methods. The main focus is applications in aerospace engineering, but the book should also be useful in many other engineering disciplines including mechanical, chemical and electrical engineering. Since many of these methods are still evolving, the book will be an excellent reference for researchers and graduate students to gain an understanding of the state of the art and remaining challenges in high-order CFD methods.
Visualization of fields and applications in engineering
by
Tou, Stephen
in
Calculus of tensors
,
Electromagnetic fields
,
Electromagnetic fields -- Mathematical models
2011
\"Visualization of Fields and Applications in Engineering presents the basic techniques for tensor field visualization and mapping from an engineering approach. Focusing on the fundamental aspects of post processing databases and applications, the author explores existing theories and their integration in tensor field visualization and analysis. Examples cover a variety of problems from mechanical, civil to electrical engineering with applications beyond and across many disciplines. The subject is presented logically from fundamental theories to integrated, multi-disciplinary technologies with practical applications in engineering, computer sciences and visual/general sciences. Driven by computer technology, the analysis of transport phenomena has developed rapid and extensively in recent times and it is timely to introduce the subject from an engineering viewpoint. The materials are suitable for a senior/graduate course and to serve as a source of reference for those who work in engineering/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. Explores a variety of sample problems from mechanical, civil to electrical engineering with applications beyond and across many disciplines.\"--
\"Visualization of Fields and Applications in Engineering presents the basic techniques for tensor field visualization and mapping from an engineering approach\"--
Numerical Models For Printing And Coating Flows
2002
This issue brings together a number of papers under the theme of thin film flows that are generic to printing and a wide range of coating applications. These processes require the deposition of a thin layer of fluid (or polymer) onto a substrate. The simulation of these processes presents a number of numerical challenges.
Filtering Complex Turbulent Systems
by
Harlim, John
,
Majda, Andrew J.
in
Filters and filtration
,
Filters and filtration -- Mathematics
,
Numerical analysis
2012
Many natural phenomena ranging from climate through to biology are described by complex dynamical systems. Getting information about these phenomena involves filtering noisy data and prediction based on incomplete information (complicated by the sheer number of parameters involved), and often we need to do this in real time, for example for weather forecasting or pollution control. All this is further complicated by the sheer number of parameters involved leading to further problems associated with the 'curse of dimensionality' and the 'curse of small ensemble size'. The authors develop, for the first time in book form, a systematic perspective on all these issues from the standpoint of applied mathematics. The book contains enough background material from filtering, turbulence theory and numerical analysis to make the presentation self-contained and suitable for graduate courses as well as for researchers in a range of disciplines where applied mathematics is required to enlighten observations and models.