Geometric Modelling Numerical Simulation and Optimization

Author: Geir Hasle
Publisher: Springer Science & Business Media
ISBN: 3540687831
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This edited volume addresses the importance of mathematics for industry and society by presenting highlights from contract research at the Department of Applied Mathematics at SINTEF, the largest independent research organization in Scandinavia. Examples range from computer-aided geometric design, via general purpose computing on graphics cards, to reservoir simulation for enhanced oil recovery. Contributions are written in a tutorial style.

Splitting Methods for Partial Differential Equations with Rough Solutions

Author: Helge Holden
Publisher: European Mathematical Society
ISBN: 9783037190784
Format: PDF, ePub
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Operator splitting (or the fractional steps method) is a very common tool to analyze nonlinear partial differential equations both numerically and analytically. By applying operator splitting to a complicated model one can often split it into simpler problems that can be analyzed separately. In this book one studies operator splitting for a family of nonlinear evolution equations, including hyperbolic conservation laws and degenerate convection-diffusion equations. Common for these equations is the prevalence of rough, or non-smooth, solutions, e.g., shocks. Rigorous analysis is presented, showing that both semi-discrete and fully discrete splitting methods converge. For conservation laws, sharp error estimates are provided and for convection-diffusion equations one discusses a priori and a posteriori correction of entropy errors introduced by the splitting. Numerical methods include finite difference and finite volume methods as well as front tacking. The theory is illustrated by numerous examples. There is a dedicated web page that provides MATLAB codes for many of the examples. The book is suitable for graduate students and researchers in pure and applied mathematics, physics, and engineering.

Electrokinetics for Petroleum and Environmental Engineers

Author: George V. Chilingar
Publisher: John Wiley & Sons
ISBN: 1118842839
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Electrokinetics is a term applied to a group of physicochemical phenomena involving the transport of charges, action of charged particles, effects of applied electric potential and fluid transport in various porous media to allow for a desired migration or flow to be achieved. These phenomena include electrokinetics, electroosmosis, ion migration, electrophoresis, streaming potential and electroviscosity. These phenomena are closely related and all contribute to the transport and migration of different ionic species and chemicals in porous media. The physicochemical and electrochemical properties of a porous medium and the pore fluid, and the magnitudes of the applied electrical potential all impact the direction and velocity of the fluid flow. Also, an electrical potential is generated upon the forced passage of fluid carrying charged particles through a porous medium. The use of electrokinetics in the field of petroleum and environmental engineering was groundbreaking when George Chilingar pioneered its use decades ago, but it has only been in recent years that its full potential has been studied. This is the first volume of its kind ever written, offering the petroleum or environmental engineer a practical “how to” book on using electrokinetics for more efficient and better oil recovery and recovery from difficult reservoirs. This groundbreaking volume is a must-have for any petroleum engineer working in the field, and for students and faculty in petroleum engineering departments worldwide.

Safety and Reliability of Complex Engineered Systems

Author: Luca Podofillini
Publisher: CRC Press
ISBN: 1315648415
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Safety and Reliability of Complex Engineered Systems contains the Proceedings of the 25th European Safety and Reliability Conference, ESREL 2015, held 7-10 September 2015 in Zurich, Switzerland. It includes about 570 papers accepted for presentation at the conference. These contributions focus on theories and methods in the area of risk, safety and reliability, and their applications to a wide range of industrial, civil and social sectors. The main goal of this book is to showcase the advancements in understanding, modeling and management of complex engineered systems. The book offers a multidisciplinary platform to address technological, societal and financial aspects of system safety and reliability. Emphasis is given to the intra- and interdependencies of functions and the cascading failures that characterize complex engineered systems. Safety and Reliability of Complex Engineered Systems (abstracts book 730 pages + full paper CD-ROM 4634 pages) will be of interest to academics and professionals involved or interested in aspect of risk, safety and reliability in various engineering areas.

Applied Parallel and Scientific Computing

Author: Kristján Jónasson
Publisher: Springer Science & Business Media
ISBN: 3642281508
Format: PDF, Kindle
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The two volume set LNCS 7133 and LNCS 7134 constitutes the thoroughly refereed post-conference proceedings of the 10th International Conference on Applied Parallel and Scientific Computing, PARA 2010, held in Reykjavík, Iceland, in June 2010. These volumes contain three keynote lectures, 29 revised papers and 45 minisymposia presentations arranged on the following topics: cloud computing, HPC algorithms, HPC programming tools, HPC in meteorology, parallel numerical algorithms, parallel computing in physics, scientific computing tools, HPC software engineering, simulations of atomic scale systems, tools and environments for accelerator based computational biomedicine, GPU computing, high performance computing interval methods, real-time access and processing of large data sets, linear algebra algorithms and software for multicore and hybrid architectures in honor of Fred Gustavson on his 75th birthday, memory and multicore issues in scientific computing - theory and praxis, multicore algorithms and implementations for application problems, fast PDE solvers and a posteriori error estimates, and scalable tools for high performance computing.

Computational Methods for Algebraic Spline Surfaces

Author: Tor Dokken
Publisher: Springer Science & Business Media
ISBN: 9783540232742
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This volume contains revised papers that were presented at the international workshop entitled Computational Methods for Algebraic Spline Surfaces (“COMPASS”), which was held from September 29 to October 3, 2003, at Schloß Weinberg, Kefermarkt (A- tria). The workshop was mainly devoted to approximate algebraic geometry and its - plications. The organizers wanted to emphasize the novel idea of approximate implici- zation, that has strengthened the existing link between CAD / CAGD (Computer Aided Geometric Design) and classical algebraic geometry. The existing methods for exact implicitization (i. e. , for conversion from the parametric to an implicit representation of a curve or surface) require exact arithmetic and are too slow and too expensive for industrial use. Thus the duality of an implicit representation and a parametric repres- tation is only used for low degree algebraic surfaces such as planes, spheres, cylinders, cones and toroidal surfaces. On the other hand, this duality is a very useful tool for - veloping ef?cient algorithms. Approximate implicitization makes this duality available for general curves and surfaces. The traditional exact implicitization of parametric surfaces produce global rep- sentations, which are exact everywhere. The surface patches used in CAD, however, are always de?ned within a small box only; they are obtained for a bounded parameter domain (typically a rectangle, or – in the case of “trimmed” surface patches – a subset of a rectangle). Consequently, a globally exact representation is not really needed in practice.

Fluid Mechanics and Fluid Power Contemporary Research

Author: Arun K. Saha
Publisher: Springer
ISBN: 8132227433
Format: PDF, ePub, Mobi
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This volume comprises the proceedings of the 42nd National and 5th International Conference on Fluid Mechanics and Fluid Power held at IIT Kanpur in December, 2014.The conference proceedings encapsulate the best deliberations held during the conference. The diversity of participation in the conference, from academia, industry and research laboratories reflects in the articles appearing in the volume. This contributed volume has articles from authors who have participated in the conference on thematic areas such as Fundamental Issues and Perspectives in Fluid Mechanics; Measurement Techniques and Instrumentation; Computational Fluid Dynamics; Instability, Transition and Turbulence; Turbomachinery; Multiphase Flows; Fluid‐Structure Interaction and Flow‐Induced Noise; Microfluidics; Bio‐inspired Fluid Mechanics; Internal Combustion Engines and Gas Turbines; and Specialized Topics. The contents of this volume will prove useful to researchers from industry and academia alike.

Multiscale Modeling and Simulation in Science

Author: Björn Engquist
Publisher: Springer Science & Business Media
ISBN: 3540888578
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Most problems in science involve many scales in time and space. An example is turbulent ?ow where the important large scale quantities of lift and drag of a wing depend on the behavior of the small vortices in the boundarylayer. Another example is chemical reactions with concentrations of the species varying over seconds and hours while the time scale of the oscillations of the chemical bonds is of the order of femtoseconds. A third example from structural mechanics is the stress and strain in a solid beam which is well described by macroscopic equations but at the tip of a crack modeling details on a microscale are needed. A common dif?culty with the simulation of these problems and many others in physics, chemistry and biology is that an attempt to represent all scales will lead to an enormous computational problem with unacceptably long computation times and large memory requirements. On the other hand, if the discretization at a coarse level ignoresthe?nescale informationthenthesolutionwillnotbephysicallymeaningful. The in?uence of the ?ne scales must be incorporated into the model. This volume is the result of a Summer School on Multiscale Modeling and S- ulation in Science held at Boso ¤n, Lidingo ¤ outside Stockholm, Sweden, in June 2007. Sixty PhD students from applied mathematics, the sciences and engineering parti- pated in the summer school.