Transfinite Interpolation and Eulerian/Lagrangian Dynamics

Transfinite Interpolation and Eulerian/Lagrangian Dynamics PDF Author: André Garon
Publisher: SIAM
ISBN: 1611976952
Category : Mathematics
Languages : en
Pages : 288

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Book Description
This book introduces transfinite interpolation as a generalization of interpolation of data prescribed at a finite number of points to data prescribed on a geometrically structured set, such as a piece of curve, surface, or submanifold. The time-independent theory is readily extended to a moving/deforming data set whose dynamics is specified in a Eulerian or Lagrangian framework. The resulting innovative tools cover a very broad spectrum of applications in fluid mechanics, geometric optimization, and imaging. The authors chose to focus on the dynamical mesh updating in fluid mechanics and the construction of velocity fields from the boundary expression of the shape derivative. Transfinite Interpolations and Eulerian/Lagrangian Dynamics is a self-contained graduate-level text that integrates theory, applications, numerical approximations, and computational techniques. It applies transfinite interpolation methods to finite element mesh adaptation and ALE fluid-structure interaction. Specialists in applied mathematics, physics, mechanics, computational sciences, imaging sciences, and engineering will find this book of interest.

Transfinite Interpolation and Eulerian/Lagrangian Dynamics

Transfinite Interpolation and Eulerian/Lagrangian Dynamics PDF Author: André Garon
Publisher: SIAM
ISBN: 1611976952
Category : Mathematics
Languages : en
Pages : 288

Get Book Here

Book Description
This book introduces transfinite interpolation as a generalization of interpolation of data prescribed at a finite number of points to data prescribed on a geometrically structured set, such as a piece of curve, surface, or submanifold. The time-independent theory is readily extended to a moving/deforming data set whose dynamics is specified in a Eulerian or Lagrangian framework. The resulting innovative tools cover a very broad spectrum of applications in fluid mechanics, geometric optimization, and imaging. The authors chose to focus on the dynamical mesh updating in fluid mechanics and the construction of velocity fields from the boundary expression of the shape derivative. Transfinite Interpolations and Eulerian/Lagrangian Dynamics is a self-contained graduate-level text that integrates theory, applications, numerical approximations, and computational techniques. It applies transfinite interpolation methods to finite element mesh adaptation and ALE fluid-structure interaction. Specialists in applied mathematics, physics, mechanics, computational sciences, imaging sciences, and engineering will find this book of interest.

Physics and Ecology in Fluids

Physics and Ecology in Fluids PDF Author: Marek Stastna
Publisher: Elsevier
ISBN: 0323914616
Category : Science
Languages : en
Pages : 282

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Book Description
Physics and Ecology in Fluids: Modeling and Numerical Experiments develops mathematical and numerical modeling methodologies for coupled biological-hydrodynamic problems with a focus on process studies. The modeling is presented in a way that discusses mathematical background but does not depend on a large body of mathematical pre-requisites or experience. Models are built up from simple, to complex. This includes discussion of approximations and shortcuts commonly made by large computational models for natural bodies of water. Computational approaches are presented using conceptual explanations and pseudo-code along with well-documented, open-source code. Over a dozen codes that run locally on the reader's laptop provide hands on experience with various aspects of the modeling process and its scientific results. One large-scale code for basin scale modeling based on the Discontinuous Galerkin methodology is presented, along with a self-contained discussion of theoretical background and implementation details. Physics and Ecology in Fluids is written for graduate students, academic researchers and government scientists. Professors can use the book as a stand-alone resource for a one term graduate course, or to supplement teaching of their own graduate courses. All readers may also use the book as background/user's guide for the software included with the book. - Presents accessible codes along with clear explanations of the mathematical modeling process that leads up to the code - Provides a consistent development of the mathematical models for hydrodynamic and biological modeling, which are rarely covered together - Includes an informal, discussion-style tone throughout, but with serious applied mathematics content, allowing a level of detail relevant for multiple reader types

Encyclopedia of Computational Mechanics, 3 Volume Set

Encyclopedia of Computational Mechanics, 3 Volume Set PDF Author: Erwin Stein
Publisher: Wiley-Blackwell
ISBN:
Category : Science
Languages : en
Pages : 824

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Book Description
The Encyclopedia of Computational Mechanics provides a comprehensive collection of knowledge about the theory and practice of computational mechanics.

High Performance Computing in Science and Engineering '10

High Performance Computing in Science and Engineering '10 PDF Author: Wolfgang E. Nagel
Publisher: Springer Science & Business Media
ISBN: 3642157483
Category : Computers
Languages : en
Pages : 594

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Book Description
This book presents the state-of-the-art in simulation on supercomputers. Leading researchers present results achieved on systems of the High Performance Computing Center Stuttgart (HLRS) for the year 2010. The reports cover all fields of computational science and engineering, ranging from CFD to computational physics and chemistry to computer science, with a special emphasis on industrially relevant applications. Presenting results for both vector systems and microprocessor-based systems, the book makes it possible to compare the performance levels and usability of various architectures. As HLRS operates the largest NEC SX-8 vector system in the world, this book gives an excellent insight into the potential of vector systems, covering the main methods in high performance computing. Its outstanding results in achieving the highest performance for production codes are of particular interest for both scientists and engineers. The book includes a wealth of color illustrations and tables.

32nd AIAA Fluid Dynamics Conference and Exhibit

32nd AIAA Fluid Dynamics Conference and Exhibit PDF Author:
Publisher:
ISBN:
Category : Fluid dynamics
Languages : en
Pages : 564

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Book Description


Computational Techniques for Multiphase Flows

Computational Techniques for Multiphase Flows PDF Author: Guan Heng Yeoh
Publisher: Butterworth-Heinemann
ISBN: 0081024541
Category : Technology & Engineering
Languages : en
Pages : 642

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Book Description
Computational Techniques for Multiphase Flows, Second Edition, provides the latest research and theories covering the most popular multiphase flows The book begins with an overview of the state-of-the-art techniques for multiple numerical methods in handling multiphase flow, compares them, and finally highlights their strengths and weaknesses. In addition, it covers more straightforward, conventional theories and governing equations in early chapters, moving on to the more modern and complex computational models and tools later in the book. It is therefore accessible to those who may be new to the subject while also featuring topics of interest to the more experienced researcher. Mixed or multiphase flows of solid/liquid or solid/gas are commonly found in many industrial fields, and their behavior is complex and difficult to predict in many cases. The use of computational fluid dynamics (CFD) has emerged as a powerful tool for understanding fluid mechanics in multiphase reactors, which are widely used in the chemical, petroleum, mining, food, automotive, energy, aerospace and pharmaceutical industries. This revised edition is an ideal reference for scientists, MSc students and chemical and mechanical engineers in these areas. - Includes updated chapters in addition to a brand-new section on granular flows. - Features novel solution methods for multiphase flow, along with recent case studies. - Explains how and when to use the featured technique and how to interpret the results and apply them to improving applications.

Numerical Grid Generation

Numerical Grid Generation PDF Author:
Publisher:
ISBN:
Category : Differential equations, Partial
Languages : en
Pages : 516

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Book Description


38th AIAA/ASME/SAE/ASEE Joint Propulsion Conference & Exhibit: 02-4300 - 02-4349

38th AIAA/ASME/SAE/ASEE Joint Propulsion Conference & Exhibit: 02-4300 - 02-4349 PDF Author:
Publisher:
ISBN:
Category : Airplanes
Languages : en
Pages : 554

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Book Description


Aeroelastic and Aerothermoelastic Behavior of Two and Three Dimensional Lifting Surfaces in Hypersonic Flow

Aeroelastic and Aerothermoelastic Behavior of Two and Three Dimensional Lifting Surfaces in Hypersonic Flow PDF Author: Jack J. McNamara
Publisher:
ISBN:
Category :
Languages : en
Pages : 630

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Book Description


41st AIAA/ASME/SAE/ASEE Joint Propulsion Conference & Exhibit 10-13 July 2005, Tucson, Arizona: 05-3950 - 05-3999

41st AIAA/ASME/SAE/ASEE Joint Propulsion Conference & Exhibit 10-13 July 2005, Tucson, Arizona: 05-3950 - 05-3999 PDF Author:
Publisher:
ISBN:
Category : Airplanes
Languages : en
Pages : 502

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Book Description