numerical methods for two phase incompressible flows 40 springer series in computational mathematics

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Energy Transfers In Atmosphere And Ocean

Author : Carsten Eden
ISBN : 9783030057046
Genre :
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Transport Processes At Fluidic Interfaces

Author : Dieter Bothe
ISBN : 9783319566023
Genre : Mathematics
File Size : 40. 37 MB
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There are several physico-chemical processes that determine the behavior of multiphase fluid systems – e.g., the fluid dynamics in the different phases and the dynamics of the interface(s), mass transport between the fluids, adsorption effects at the interface, and transport of surfactants on the interface – and result in heterogeneous interface properties. In general, these processes are strongly coupled and local properties of the interface play a crucial role. A thorough understanding of the behavior of such complex flow problems must be based on physically sound mathematical models, which especially account for the local processes at the interface. This book presents recent findings on the rigorous derivation and mathematical analysis of such models and on the development of numerical methods for direct numerical simulations. Validation results are based on specifically designed experiments using high-resolution experimental techniques. A special feature of this book is its focus on an interdisciplinary research approach combining Applied Analysis, Numerical Mathematics, Interface Physics and Chemistry, as well as relevant research areas in the Engineering Sciences. The contributions originated from the joint interdisciplinary research projects in the DFG Priority Programme SPP 1506 “Transport Processes at Fluidic Interfaces.”

Numerical Methods For Two Phase Incompressible Flows

Author : Sven Gross
ISBN : 3642196861
Genre : Mathematics
File Size : 86. 5 MB
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This book is the first monograph providing an introduction to and an overview of numerical methods for the simulation of two-phase incompressible flows. The Navier-Stokes equations describing the fluid dynamics are examined in combination with models for mass and surfactant transport. The book pursues a comprehensive approach: important modeling issues are treated, appropriate weak formulations are derived, level set and finite element discretization techniques are analyzed, efficient iterative solvers are investigated, implementational aspects are considered and the results of numerical experiments are presented. The book is aimed at M Sc and PhD students and other researchers in the fields of Numerical Analysis and Computational Engineering Science interested in the numerical treatment of two-phase incompressible flows.

Isogeometric Analysis And Applications 2014

Author : Bert Jüttler
ISBN : 9783319233154
Genre : Mathematics
File Size : 86. 28 MB
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Isogeometric Analysis is a groundbreaking computational approach that promises the possibility of integrating the finite element method into conventional spline-based CAD design tools. It thus bridges the gap between numerical analysis and geometry, and moreover it allows to tackle new cutting edge applications at the frontiers of research in science and engineering. This proceedings volume contains a selection of outstanding research papers presented at the second International Workshop on Isogeometric Analysis and Applications, held at Annweiler, Germany, in April 2014.

Geometrically Unfitted Finite Element Methods And Applications

Author : Stéphane P. A. Bordas
ISBN : 9783319714318
Genre : Mathematics
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This book provides a snapshot of the state of the art of the rapidly evolving field of integration of geometric data in finite element computations. The contributions to this volume, based on research presented at the UCL workshop on the topic in January 2016, include three review papers on core topics such as fictitious domain methods for elasticity, trace finite element methods for partial differential equations defined on surfaces, and Nitsche’s method for contact problems. Five chapters present original research articles on related theoretical topics, including Lagrange multiplier methods, interface problems, bulk-surface coupling, and approximation of partial differential equations on moving domains. Finally, two chapters discuss advanced applications such as crack propagation or flow in fractured poroelastic media. This is the first volume that provides a comprehensive overview of the field of unfitted finite element methods, including recent techniques such as cutFEM, traceFEM, ghost penalty, and augmented Lagrangian techniques. It is aimed at researchers in applied mathematics, scientific computing or computational engineering.

Frontiers In Numerical Analysis

Author : James Blowey
ISBN : 3540443193
Genre : Mathematics
File Size : 32. 56 MB
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A set of detailed lecture notes on six topics at the forefront of current research in numerical analysis and applied mathematics. Each set of notes presents a self-contained guide to a current research area. Detailed proofs of key results are provided. The notes start from a level suitable for first year graduate students in applied mathematics, mathematical analysis or numerical analysis, and proceed to current research topics. Current (unsolved) problems are also described and directions for future research are given. This book is also suitable for professional mathematicians.

Essential Computational Fluid Dynamics

Author : Oleg Zikanov
ISBN : 9781118174395
Genre : Science
File Size : 40. 64 MB
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This book serves as a complete and self-contained introduction tothe principles of Computational Fluid Dynamic (CFD)analysis. It is deliberately short (at approximately 300pages) and can be used as a text for the first part of the courseof applied CFD followed by a software tutorial. The mainobjectives of this non-traditional format are: 1) To introduce andexplain, using simple examples where possible, the principles andmethods of CFD analysis and to demystify the `black box’ of aCFD software tool, and 2) To provide a basic understanding of howCFD problems are set and which factors affect the success andfailure of the analysis. Included in the text are themathematical and physical foundations of CFD, formulation of CFDproblems, basic principles of numerical approximation (grids,consistency, convergence, stability, and order of approximation,etc), methods of discretization with focus on finite difference andfinite volume techniques, methods of solution of transient andsteady state problems, commonly used numerical methods for heattransfer and fluid flows, plus a brief introduction into turbulencemodeling.

Mathematical Reviews

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ISBN : UVA:X006180726
Genre : Mathematics
File Size : 56. 44 MB
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Siam Journal On Scientific Computing

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ISBN : UOM:39015085194986
Genre : Mathematical statistics
File Size : 81. 70 MB
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Russian Journal Of Numerical Analysis And Mathematical Modelling

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ISBN : UCSD:31822022707541
Genre : Numerical analysis
File Size : 65. 22 MB
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