Multiscale Methods In Computational Mechanics

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This work gives a modern, up-to-date account of recent developments in computational multiscale mechanics. Both upscaling and concurrent computing methodologies will be addressed for a range of application areas in computational solid and fluid mechanics: Scale transitions in materials, turbulence in fluid-structure interaction problems, multiscale/multilevel optimization, multiscale poromechanics. A Dutch-German research group that consists of qualified and well-known researchers in the field has worked for six years on the topic of computational multiscale mechanics. This text provides a unique opportunity to consolidate and disseminate the knowledge gained in this project. The addition of chapters written by experts outside this working group provides a broad and multifaceted view of this rapidly evolving field.

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Genre : Computers
Author : René de Borst
Publisher : Springer Science & Business Media
Release : 2010-10-09
File : 451 Pages
ISBN-13 : 9789048198092


Multiscale Methods

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Small scale features and processes occurring at nanometer and femtosecond scales have a profound impact on what happens at a larger scale and over an extensive period of time. The primary objective of this volume is to reflect the state-of-the-art in multiscale mathematics, modeling, and simulations and to address the following barriers: What is the information that needs to be transferred from one model or scale to another and what physical principles must be satisfied during thetransfer of information? What are the optimal ways to achieve such transfer of information? How can variability of physical parameters at multiple scales be quantified and how can it be accounted for to ensure design robustness?The multiscale approaches in space and time presented in this volume are grouped into two main categories: information-passing and concurrent. In the concurrent approaches various scales are simultaneously resolved, whereas in the information-passing methods the fine scale is modeled and its gross response is infused into the continuum scale. The issue of reliability of multiscale modeling and simulation tools which focus on a hierarchy of multiscale models and an a posteriori model of errorestimation including uncertainty quantification, is discussed in several chapters. Component software that can be effectively combined to address a wide range of multiscale simulations is also described. Applications range from advanced materials to nanoelectromechanical systems (NEMS), biologicalsystems, and nanoporous catalysts where physical phenomena operates across 12 orders of magnitude in time scales and 10 orders of magnitude in spatial scales.This volume is a valuable reference book for scientists, engineers and graduate students practicing in traditional engineering and science disciplines as well as in emerging fields of nanotechnology, biotechnology, microelectronics and energy.

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Genre : Mathematics
Author : Jacob Fish
Publisher : Oxford University Press
Release : 2010
File : 631 Pages
ISBN-13 : 9780199233854


Multiscale And Multiresolution Approaches In Turbulence Les Des And Hybrid Rans Les Methods Applications And Guidelines 2nd Edition

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The book aims to provide the reader with an updated general presentation of multiscale/multiresolution approaches in turbulent flow simulations. All modern approaches (LES, hybrid RANS/LES, DES, SAS) are discussed and recast in a global comprehensive framework. Both theoretical features and practical implementation details are addressed. Some full scale applications are described, to provide the reader with relevant guidelines to facilitate a future use of these methods./a

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Genre : Mathematics
Author : Pierre Sagaut
Publisher : World Scientific
Release : 2013-03-25
File : 446 Pages
ISBN-13 : 9781848169883


Parallel Algorithms In Computational Science And Engineering

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This contributed volume highlights two areas of fundamental interest in high-performance computing: core algorithms for important kernels and computationally demanding applications. The first few chapters explore algorithms, numerical techniques, and their parallel formulations for a variety of kernels that arise in applications. The rest of the volume focuses on state-of-the-art applications from diverse domains. By structuring the volume around these two areas, it presents a comprehensive view of the application landscape for high-performance computing, while also enabling readers to develop new applications using the kernels. Readers will learn how to choose the most suitable parallel algorithms for any given application, ensuring that theory and practicality are clearly connected. Applications using these techniques are illustrated in detail, including: Computational materials science and engineering Computational cardiovascular analysis Multiscale analysis of wind turbines and turbomachinery Weather forecasting Machine learning techniques Parallel Algorithms in Computational Science and Engineering will be an ideal reference for applied mathematicians, engineers, computer scientists, and other researchers who utilize high-performance computing in their work.

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Genre : Computers
Author : Ananth Grama
Publisher : Springer Nature
Release : 2020-07-06
File : 421 Pages
ISBN-13 : 9783030437367


Multiscale And Multiresolution Approaches In Turbulence

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The book aims to provide the reader with an updated general presentation of multiscale/multiresolution approaches in turbulent flow simulations. All modern approaches (LES, hybrid RANS/LES, DES, SAS) are discussed and recast in a global comprehensive framework. Both theoretical features and practical implementation details are addressed. Some full scale applications are described, to provide the reader with relevant guidelines to facilitate a future use of these methods.

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Genre : Science
Author : Pierre Sagaut
Publisher : World Scientific
Release : 2013
File : 446 Pages
ISBN-13 : 9781848169876


Multiscale Simulations And Mechanics Of Biological Materials

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Multiscale Simulations and Mechanics of Biological Materials A compilation of recent developments in multiscale simulation and computational biomaterials written by leading specialists in the field Presenting the latest developments in multiscale mechanics and multiscale simulations, and offering a unique viewpoint on multiscale modelling of biological materials, this book outlines the latest developments in computational biological materials from atomistic and molecular scale simulation on DNA, proteins, and nano-particles, to meoscale soft matter modelling of cells, and to macroscale soft tissue and blood vessel, and bone simulations. Traditionally, computational biomaterials researchers come from biological chemistry and biomedical engineering, so this is probably the first edited book to present work from these talented computational mechanics researchers. The book has been written to honor Professor Wing Liu of Northwestern University, USA, who has made pioneering contributions in multiscale simulation and computational biomaterial in specific simulation of drag delivery at atomistic and molecular scale and computational cardiovascular fluid mechanics via immersed finite element method. Key features: Offers a unique interdisciplinary approach to multiscale biomaterial modelling aimed at both accessible introductory and advanced levels Presents a breadth of computational approaches for modelling biological materials across multiple length scales (molecular to whole-tissue scale), including solid and fluid based approaches A companion website for supplementary materials plus links to contributors’ websites (www.wiley.com/go/li/multiscale)

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Genre : Technology & Engineering
Author : Shaofan Li
Publisher : John Wiley & Sons
Release : 2013-03-19
File : 509 Pages
ISBN-13 : 9781118402948


Computational Science Iccs 2019

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The five-volume set LNCS 11536, 11537, 11538, 11539 and 11540 constitutes the proceedings of the 19th International Conference on Computational Science, ICCS 2019, held in Faro, Portugal, in June 2019. The total of 65 full papers and 168 workshop papers presented in this book set were carefully reviewed and selected from 573 submissions (228 submissions to the main track and 345 submissions to the workshops). The papers were organized in topical sections named: Part I: ICCS Main Track Part II: ICCS Main Track; Track of Advances in High-Performance Computational Earth Sciences: Applications and Frameworks; Track of Agent-Based Simulations, Adaptive Algorithms and Solvers; Track of Applications of Matrix Methods in Artificial Intelligence and Machine Learning; Track of Architecture, Languages, Compilation and Hardware Support for Emerging and Heterogeneous Systems Part III: Track of Biomedical and Bioinformatics Challenges for Computer Science; Track of Classifier Learning from Difficult Data; Track of Computational Finance and Business Intelligence; Track of Computational Optimization, Modelling and Simulation; Track of Computational Science in IoT and Smart Systems Part IV: Track of Data-Driven Computational Sciences; Track of Machine Learning and Data Assimilation for Dynamical Systems; Track of Marine Computing in the Interconnected World for the Benefit of the Society; Track of Multiscale Modelling and Simulation; Track of Simulations of Flow and Transport: Modeling, Algorithms and Computation Part V: Track of Smart Systems: Computer Vision, Sensor Networks and Machine Learning; Track of Solving Problems with Uncertainties; Track of Teaching Computational Science; Poster Track ICCS 2019 Chapter “Comparing Domain-decomposition Methods for the Parallelization of Distributed Land Surface Models” is available open access under a Creative Commons Attribution 4.0 International License via link.springer.com.

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Genre : Computers
Author : João M. F. Rodrigues
Publisher : Springer
Release : 2019-06-07
File : 675 Pages
ISBN-13 : 9783030227470


Multiscale Model Reduction

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This monograph is devoted to the study of multiscale model reduction methods from the point of view of multiscale finite element methods. Multiscale numerical methods have become popular tools for modeling processes with multiple scales. These methods allow reducing the degrees of freedom based on local offline computations. Moreover, these methods allow deriving rigorous macroscopic equations for multiscale problems without scale separation and high contrast. Multiscale methods are also used to design efficient solvers. This book offers a combination of analytical and numerical methods designed for solving multiscale problems. The book mostly focuses on methods that are based on multiscale finite element methods. Both applications and theoretical developments in this field are presented. The book is suitable for graduate students and researchers, who are interested in this topic.

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Genre : Mathematics
Author : Eric Chung
Publisher : Springer Nature
Release : 2023-06-07
File : 499 Pages
ISBN-13 : 9783031204098


Numerical Analysis Of Multiscale Computations

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This book is a snapshot of current research in multiscale modeling, computations and applications. It covers fundamental mathematical theory, numerical algorithms as well as practical computational advice for analysing single and multiphysics models containing a variety of scales in time and space. Complex fluids, porous media flow and oscillatory dynamical systems are treated in some extra depth, as well as tools like analytical and numerical homogenization, and fast multipole method.

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Genre : Computers
Author : Björn Engquist
Publisher : Springer Science & Business Media
Release : 2011-10-14
File : 432 Pages
ISBN-13 : 9783642219436


Analysis Of Composite Laminates

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Composite Laminated: Theories and Their Applications presents the latest methods for analyzing composite laminates and their applications. The title introduces the most important analytical methods in use today, focusing on fracture, damage, multi-physics and sensitivity analysis. Alongside these methods, it presents original research carried out over two decades on laminated composite structures and gives detailed coverage of laminate theories, analytic solutions and finite element models. Specific chapters cover An introduction to composites, Elasticity, Shear, State space theory, Layerwise theories, The extended layerwise method, Fracture and damage mechanics, Multi-physical fracture problems, Analytical methods of stiffened sandwich structures, Progressive failure analysis, and more. This volume offers a comprehensive guide to the state-of-the-art in the analysis and applications of composite laminates, which play a critical role in all types of engineering, from aerospace to subsea structures, including in medical prosthetics, circuit boards and sports equipment. - Presents a guide to the analysis and application of advanced composite materials - Gives detailed exposition of plate/shell theories and their implementation in finite element code architecture - Considers the robustness, effectiveness and applications aspects of laminated plate/shell methods - Gives hands-on experience of code architecture, providing composite analysis software which can be plugged in to commercial applications - Presents experimental research alongside methods, laminate theories, analytic solutions, and finite element models

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Genre : Technology & Engineering
Author : Dinghe Li
Publisher : Elsevier
Release : 2022-03-08
File : 544 Pages
ISBN-13 : 9780323914420