Parallel Computing Using the Multiscale Finite Element Method for Sub-surface Flow Models

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ISBN 13 :
Total Pages : 102 pages
Book Rating : 4.:/5 (956 download)

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Book Synopsis Parallel Computing Using the Multiscale Finite Element Method for Sub-surface Flow Models by : Anshul Goyal

Download or read book Parallel Computing Using the Multiscale Finite Element Method for Sub-surface Flow Models written by Anshul Goyal and published by . This book was released on 2016 with total page 102 pages. Available in PDF, EPUB and Kindle. Book excerpt: Subsurface flows, occurring in groundwater movement and production of hydrocarbons in the petroleum industry, are affected by the heterogeneity of the medium varying over large scales. In this thesis, we have used state of the art multiscale methods to solve one such flow model, influenced by high contrast permeability field. The focus is on the elliptic pressure equation which is solved on both fine and coarse scale for comparison purposes. Shared memory parallelism has been achieved for generating basis functions, which is computationally the most expensive portion of the multiscale implementation. Parallel systematic spectral enrichment using the GMsFEM (Generalized Multiscale Finite Element Method) is the key feature of the current work and has been compared with the MsFEM (Multiscale Finite Element Method). Efficiency of algorithmic implementation has been first tabulated for a two-dimensional finite element code using the MATLAB parallel computing toolbox and also has been given a more generalized form using a three-dimensional finite element code written in OpenMP (Open Multiprocessing) and C++. The timing comparison shows a significant decline in the execution time for the algorithms. It indicates that a higher level of enrichment and desired accuracy is achievable for large scale problems. Computational time gain and fewer memory requirements are two key features achieved in this work. Distributed parallel computing can further be implemented to achieve mass parallelism through which one can solve large problems accurately and efficiently when compared to benchmark fine scale solutions where global system solver, memory requirements and execution time become significant issues.

Adaptive Multiscale Finite Element Method for Subsurface Flow Simulation

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Publisher :
ISBN 13 : 9789085706083
Total Pages : pages
Book Rating : 4.7/5 (6 download)

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Book Synopsis Adaptive Multiscale Finite Element Method for Subsurface Flow Simulation by : Johannes Maria van Esch

Download or read book Adaptive Multiscale Finite Element Method for Subsurface Flow Simulation written by Johannes Maria van Esch and published by . This book was released on 2010 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Parallel computing for finite element models of surface water flow

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ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (861 download)

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Book Synopsis Parallel computing for finite element models of surface water flow by : Srinivas Chippada

Download or read book Parallel computing for finite element models of surface water flow written by Srinivas Chippada and published by . This book was released on 1996 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Simulation of Flow in Porous Media

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Publisher : Walter de Gruyter
ISBN 13 : 3110282240
Total Pages : 224 pages
Book Rating : 4.1/5 (12 download)

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Book Synopsis Simulation of Flow in Porous Media by : Peter Bastian

Download or read book Simulation of Flow in Porous Media written by Peter Bastian and published by Walter de Gruyter. This book was released on 2013-07-31 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: Subsurface flow problems are inherently multiscale in space due to the large variability of material properties and in time due to the coupling of many different physical processes, such as advection, diffusion, reaction and phase exchange. Subsurface flow models still need considerable development. For example, nonequilibrium effects, entrapped air, anomalous dispersion and hysteresis effects can still not be adequately described. Moreover, parameters of the models are diffcult to access and often uncertain. Computational issues in subsurface flows include the treatment of strong heterogeneities and anisotropies in the models, the effcient solution of transport-reaction problems with many species, treatment of multiphase-multicomponent flows and the coupling of subsurface flow models to surface flow models given by shallow water or Stokes equations. With respect to energy and the environment, in particular the modelling and simulation of radioactive waste management and sequestration of CO2 underground have gained high interest in the community in recent years. Both applications provide unique challenges ranging from modelling of clay materials to treating very large scale models with high-performance computing. This book brings together key numerical mathematicians whose interest is in the analysis and computation of multiscale subsurface flow and practitioners from engineering and industry whose interest is in the applications of these core problems.

Multiscale Model Reduction

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Publisher : Springer Nature
ISBN 13 : 3031204093
Total Pages : 499 pages
Book Rating : 4.0/5 (312 download)

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Book Synopsis Multiscale Model Reduction by : Eric Chung

Download or read book Multiscale Model Reduction written by Eric Chung and published by Springer Nature. This book was released on 2023-06-07 with total page 499 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Ground Water Reactive Transport Model: Cover Page; 03 REVISED eBooks End User License Agreement-Website; 04 Contents; 05 Foreword_czheng; 06 Preface; 07 Contributors; 08 Chapter 1_Yeh et al_HYDROGEOCHEMA; 09 Chapter 2_Wheeler et al_IPARS-FINAL; 10 Chapter 3_Xu et al-revised-_TOUGHREACT; 11 Chapter 4_Clement et al_RT3D; 12 Chapter 5_White et al_STOMP-ECKEChem; 13 Chapter 6_Hammond et al_PFLOTRAN; 14 Chapter 7_ Samper et al_CORE2D V4; 15 Chapter 8_ Mayer et al_MIN3P; 16 Chapter 9_ Hao et al_NUFT; 17 Index

Download Ground Water Reactive Transport Model: Cover Page; 03 REVISED eBooks End User License Agreement-Website; 04 Contents; 05 Foreword_czheng; 06 Preface; 07 Contributors; 08 Chapter 1_Yeh et al_HYDROGEOCHEMA; 09 Chapter 2_Wheeler et al_IPARS-FINAL; 10 Chapter 3_Xu et al-revised-_TOUGHREACT; 11 Chapter 4_Clement et al_RT3D; 12 Chapter 5_White et al_STOMP-ECKEChem; 13 Chapter 6_Hammond et al_PFLOTRAN; 14 Chapter 7_ Samper et al_CORE2D V4; 15 Chapter 8_ Mayer et al_MIN3P; 16 Chapter 9_ Hao et al_NUFT; 17 Index PDF Online Free

Author :
Publisher : Bentham Science Publishers
ISBN 13 : 1608053067
Total Pages : 254 pages
Book Rating : 4.6/5 (8 download)

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Book Synopsis Ground Water Reactive Transport Model: Cover Page; 03 REVISED eBooks End User License Agreement-Website; 04 Contents; 05 Foreword_czheng; 06 Preface; 07 Contributors; 08 Chapter 1_Yeh et al_HYDROGEOCHEMA; 09 Chapter 2_Wheeler et al_IPARS-FINAL; 10 Chapter 3_Xu et al-revised-_TOUGHREACT; 11 Chapter 4_Clement et al_RT3D; 12 Chapter 5_White et al_STOMP-ECKEChem; 13 Chapter 6_Hammond et al_PFLOTRAN; 14 Chapter 7_ Samper et al_CORE2D V4; 15 Chapter 8_ Mayer et al_MIN3P; 16 Chapter 9_ Hao et al_NUFT; 17 Index by : Fan Zhang

Download or read book Ground Water Reactive Transport Model: Cover Page; 03 REVISED eBooks End User License Agreement-Website; 04 Contents; 05 Foreword_czheng; 06 Preface; 07 Contributors; 08 Chapter 1_Yeh et al_HYDROGEOCHEMA; 09 Chapter 2_Wheeler et al_IPARS-FINAL; 10 Chapter 3_Xu et al-revised-_TOUGHREACT; 11 Chapter 4_Clement et al_RT3D; 12 Chapter 5_White et al_STOMP-ECKEChem; 13 Chapter 6_Hammond et al_PFLOTRAN; 14 Chapter 7_ Samper et al_CORE2D V4; 15 Chapter 8_ Mayer et al_MIN3P; 16 Chapter 9_ Hao et al_NUFT; 17 Index written by Fan Zhang and published by Bentham Science Publishers. This book was released on 2012 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ground water reactive transport models are useful to assess and quantify contaminant precipitation, absorption and migration in subsurface media. Many ground water reactive transport models available today are characterized by varying complexities, strengths, and weaknesses. Selecting accurate, efficient models can be a challenging task. This ebook addresses the needs, issues and challenges relevant to selecting a ground water reactive transport model to evaluate natural attenuation and alternative remediation schemes. It should serve as a handy guide for water resource managers seeking to ach.

Supercomputing

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Publisher : Springer Nature
ISBN 13 : 303122941X
Total Pages : 713 pages
Book Rating : 4.0/5 (312 download)

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Book Synopsis Supercomputing by : Vladimir Voevodin

Download or read book Supercomputing written by Vladimir Voevodin and published by Springer Nature. This book was released on 2022-12-15 with total page 713 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 8th Russian Supercomputing Days on Supercomputing, RuSCDays 2022, which took place in Moscow, Russia, in September 2022. The 49 full papers and 1 short paper presented in this volume were carefully reviewed and selected from 94 submissions. The papers are organized in the following topical sections: Supercomputer Simulation; HPC, BigData, AI: Architectures, Technologies, Tools; Distributed and Cloud Computing.

Computational Models for CO2 Geo-sequestration & Compressed Air Energy Storage

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Publisher : CRC Press
ISBN 13 : 1315778726
Total Pages : 566 pages
Book Rating : 4.3/5 (157 download)

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Book Synopsis Computational Models for CO2 Geo-sequestration & Compressed Air Energy Storage by : Rafid Al-Khoury

Download or read book Computational Models for CO2 Geo-sequestration & Compressed Air Energy Storage written by Rafid Al-Khoury and published by CRC Press. This book was released on 2014-04-17 with total page 566 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive mathematical and computational modeling of CO2 Geosequestration and Compressed Air Energy StorageEnergy and environment are two interrelated issues of great concern to modern civilization. As the world population will soon reach eight billion, the demand for energy will dramatically increase, intensifying the use of fossil fuels. Ut

Multiscale Analysis and Computation for Flows in Heterogeneous Media

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ISBN 13 :
Total Pages : 9 pages
Book Rating : 4.:/5 (96 download)

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Book Synopsis Multiscale Analysis and Computation for Flows in Heterogeneous Media by :

Download or read book Multiscale Analysis and Computation for Flows in Heterogeneous Media written by and published by . This book was released on 2016 with total page 9 pages. Available in PDF, EPUB and Kindle. Book excerpt: Our work in this project is aimed at making fundamental advances in multiscale methods for flow and transport in highly heterogeneous porous media. The main thrust of this research is to develop a systematic multiscale analysis and efficient coarse-scale models that can capture global effects and extend existing multiscale approaches to problems with additional physics and uncertainties. A key emphasis is on problems without an apparent scale separation. Multiscale solution methods are currently under active investigation for the simulation of subsurface flow in heterogeneous formations. These procedures capture the effects of fine-scale permeability variations through the calculation of specialized coarse-scale basis functions. Most of the multiscale techniques presented to date employ localization approximations in the calculation of these basis functions. For some highly correlated (e.g., channelized) formations, however, global effects are important and these may need to be incorporated into the multiscale basis functions. Other challenging issues facing multiscale simulations are the extension of existing multiscale techniques to problems with additional physics, such as compressibility, capillary effects, etc. In our project, we explore the improvement of multiscale methods through the incorporation of additional (single-phase flow) information and the development of a general multiscale framework for flows in the presence of uncertainties, compressible flow and heterogeneous transport, and geomechanics. We have considered (1) adaptive local-global multiscale methods, (2) multiscale methods for the transport equation, (3) operator-based multiscale methods and solvers, (4) multiscale methods in the presence of uncertainties and applications, (5) multiscale finite element methods for high contrast porous media and their generalizations, and (6) multiscale methods for geomechanics. Below, we present a brief overview of each of these contributions.

Multi-scale Phenomena in Complex Fluids

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Publisher : World Scientific
ISBN 13 : 9814273252
Total Pages : 379 pages
Book Rating : 4.8/5 (142 download)

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Book Synopsis Multi-scale Phenomena in Complex Fluids by : Thomas Y. Hou

Download or read book Multi-scale Phenomena in Complex Fluids written by Thomas Y. Hou and published by World Scientific. This book was released on 2009 with total page 379 pages. Available in PDF, EPUB and Kindle. Book excerpt: Multi-Scale Phenomena in Complex Fluids is a collection of lecture notes delivered during the ªrst two series of mini-courses from "Shanghai Summer School on Analysis and Numerics in Modern Sciences," which was held in 2004 and 2006 at Fudan University, Shanghai, China. This review volume of 5 chapters, covering various fields in complex fluids, places emphasis on multi-scale modeling, analyses and simulations. It will be of special interest to researchers and graduate students who want to work in the field of complex fluids.

Handbook of Clean Energy Systems, 6 Volume Set

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Publisher : John Wiley & Sons
ISBN 13 : 1118388585
Total Pages : 4038 pages
Book Rating : 4.1/5 (183 download)

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Book Synopsis Handbook of Clean Energy Systems, 6 Volume Set by : Jinyue Yan

Download or read book Handbook of Clean Energy Systems, 6 Volume Set written by Jinyue Yan and published by John Wiley & Sons. This book was released on 2015-06-22 with total page 4038 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Handbook of Clean Energy Systems brings together an international team of experts to present a comprehensive overview of the latest research, developments and practical applications throughout all areas of clean energy systems. Consolidating information which is currently scattered across a wide variety of literature sources, the handbook covers a broad range of topics in this interdisciplinary research field including both fossil and renewable energy systems. The development of intelligent energy systems for efficient energy processes and mitigation technologies for the reduction of environmental pollutants is explored in depth, and environmental, social and economic impacts are also addressed. Topics covered include: Volume 1 - Renewable Energy: Biomass resources and biofuel production; Bioenergy Utilization; Solar Energy; Wind Energy; Geothermal Energy; Tidal Energy. Volume 2 - Clean Energy Conversion Technologies: Steam/Vapor Power Generation; Gas Turbines Power Generation; Reciprocating Engines; Fuel Cells; Cogeneration and Polygeneration. Volume 3 - Mitigation Technologies: Carbon Capture; Negative Emissions System; Carbon Transportation; Carbon Storage; Emission Mitigation Technologies; Efficiency Improvements and Waste Management; Waste to Energy. Volume 4 - Intelligent Energy Systems: Future Electricity Markets; Diagnostic and Control of Energy Systems; New Electric Transmission Systems; Smart Grid and Modern Electrical Systems; Energy Efficiency of Municipal Energy Systems; Energy Efficiency of Industrial Energy Systems; Consumer Behaviors; Load Control and Management; Electric Car and Hybrid Car; Energy Efficiency Improvement. Volume 5 - Energy Storage: Thermal Energy Storage; Chemical Storage; Mechanical Storage; Electrochemical Storage; Integrated Storage Systems. Volume 6 - Sustainability of Energy Systems: Sustainability Indicators, Evaluation Criteria, and Reporting; Regulation and Policy; Finance and Investment; Emission Trading; Modeling and Analysis of Energy Systems; Energy vs. Development; Low Carbon Economy; Energy Efficiencies and Emission Reduction. Key features: Comprising over 3,500 pages in 6 volumes, HCES presents a comprehensive overview of the latest research, developments and practical applications throughout all areas of clean energy systems, consolidating a wealth of information which is currently scattered across a wide variety of literature sources. In addition to renewable energy systems, HCES also covers processes for the efficient and clean conversion of traditional fuels such as coal, oil and gas, energy storage systems, mitigation technologies for the reduction of environmental pollutants, and the development of intelligent energy systems. Environmental, social and economic impacts of energy systems are also addressed in depth. Published in full colour throughout. Fully indexed with cross referencing within and between all six volumes. Edited by leading researchers from academia and industry who are internationally renowned and active in their respective fields. Published in print and online. The online version is a single publication (i.e. no updates), available for one-time purchase or through annual subscription.

Computational Methods for Multiphase Flows in Porous Media

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Publisher : SIAM
ISBN 13 : 0898716063
Total Pages : 551 pages
Book Rating : 4.8/5 (987 download)

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Book Synopsis Computational Methods for Multiphase Flows in Porous Media by : Zhangxin Chen

Download or read book Computational Methods for Multiphase Flows in Porous Media written by Zhangxin Chen and published by SIAM. This book was released on 2006-04-01 with total page 551 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a fundamental and practical introduction to the use of computational methods. A thorough discussion of practical aspects of the subject is presented in a consistent manner, and the level of treatment is rigorous without being unnecessarily abstract. Each chapter ends with bibliographic information and exercises.

Parallel Finite Element Computations

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Publisher :
ISBN 13 :
Total Pages : 328 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Parallel Finite Element Computations by : B. H. V. Topping

Download or read book Parallel Finite Element Computations written by B. H. V. Topping and published by . This book was released on 1996 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: Describing the main procedures for the parallelization of the finite element method for distributed memory architectures, this book is for engineers, computer scientists and mathematicians working on the application of high performance computing to finite element methods. Its procedures are applicable to distributed memory computer architectures.

Large-Scale Scientific Computing

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Publisher : Springer Nature
ISBN 13 : 3030410323
Total Pages : 636 pages
Book Rating : 4.0/5 (34 download)

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Book Synopsis Large-Scale Scientific Computing by : Ivan Lirkov

Download or read book Large-Scale Scientific Computing written by Ivan Lirkov and published by Springer Nature. This book was released on 2020-02-13 with total page 636 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes revised papers from the 12th International Conference on Large-Scale Scientific Computing, LSSC 2019, held in Sozopol, Bulgaria, in June 2019. The 70 papers presented in this volume were carefully reviewed and selected from 81 submissions. The book also contains two invited talks. The papers were organized in topical sections named as follows: control and optimization of dynamical systems; meshfree and particle methods; fractional diffusion problems: numerical methods, algorithms and applications; pore scale flow and transport simulation; tensors based algorithms and structures in optimization and applications; HPC and big data: algorithms and applications; large-scale models: numerical methods, parallel computations and applications; monte carlo algorithms: innovative applications in conjunctions with other methods; application of metaheuristics to large-scale problems; large scale machine learning: multiscale algorithms and performance guarantees; and contributed papers.

Computational Fluid and Solid Mechanics

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Publisher : Elsevier
ISBN 13 : 0080552811
Total Pages : 975 pages
Book Rating : 4.0/5 (85 download)

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Book Synopsis Computational Fluid and Solid Mechanics by : K.J. Bathe

Download or read book Computational Fluid and Solid Mechanics written by K.J. Bathe and published by Elsevier. This book was released on 2001-05-21 with total page 975 pages. Available in PDF, EPUB and Kindle. Book excerpt: The MIT mission - "to bring together Industry and Academia and to nurture the next generation in computational mechanics is of great importance to reach the new level of mathematical modeling and numerical solution and to provide an exciting research environment for the next generation in computational mechanics." Mathematical modeling and numerical solution is today firmly established in science and engineering. Research conducted in almost all branches of scientific investigations and the design of systems in practically all disciplines of engineering can not be pursued effectively without, frequently, intensive analysis based on numerical computations.The world we live in has been classified by the human mind, for descriptive and analysis purposes, to consist of fluids and solids, continua and molecules; and the analyses of fluids and solids at the continuum and molecular scales have traditionally been pursued separately. Fundamentally, however, there are only molecules and particles for any material that interact on the microscopic and macroscopic scales. Therefore, to unify the analysis of physical systems and to reach a deeper understanding of the behavior of nature in scientific investigations, and of the behavior of designs in engineering endeavors, a new level of analysis is necessary. This new level of mathematical modeling and numerical solution does not merely involve the analysis of a single medium but must encompass the solution of multi-physics problems involving fluids, solids, and their interactions, involving multi-scale phenomena from the molecular to the macroscopic scales, and must include uncertainties in the given data and the solution results. Nature does not distinguish between fluids and solids and does not ever repeat itself exactly.This new level of analysis must also include, in engineering, the effective optimization of systems, and the modeling and analysis of complete life spans of engineering products, from design to fabrication, to possibly multiple repairs, to end of service.

Numerical Analysis of Multiscale Problems

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Publisher : Springer Science & Business Media
ISBN 13 : 3642220614
Total Pages : 376 pages
Book Rating : 4.6/5 (422 download)

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Book Synopsis Numerical Analysis of Multiscale Problems by : Ivan G. Graham

Download or read book Numerical Analysis of Multiscale Problems written by Ivan G. Graham and published by Springer Science & Business Media. This book was released on 2012-01-05 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: The 91st London Mathematical Society Durham Symposium took place from July 5th to 15th 2010, with more than 100 international participants attending. The Symposium focused on Numerical Analysis of Multiscale Problems and this book contains 10 invited articles from some of the meeting's key speakers, covering a range of topics of contemporary interest in this area. Articles cover the analysis of forward and inverse PDE problems in heterogeneous media, high-frequency wave propagation, atomistic-continuum modeling and high-dimensional problems arising in modeling uncertainty. Novel upscaling and preconditioning techniques, as well as applications to turbulent multi-phase flow, and to problems of current interest in materials science are all addressed. As such this book presents the current state-of-the-art in the numerical analysis of multiscale problems and will be of interest to both practitioners and mathematicians working in those fields.

Groundwater Assessment, Modeling, and Management

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Publisher : CRC Press
ISBN 13 : 1315352036
Total Pages : 858 pages
Book Rating : 4.3/5 (153 download)

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Book Synopsis Groundwater Assessment, Modeling, and Management by : M. Thangarajan

Download or read book Groundwater Assessment, Modeling, and Management written by M. Thangarajan and published by CRC Press. This book was released on 2016-09-15 with total page 858 pages. Available in PDF, EPUB and Kindle. Book excerpt: Your Guide to Effective Groundwater Management Groundwater Assessment, Modeling, and Management discusses a variety of groundwater problems and outlines the solutions needed to sustain surface and ground water resources on a global scale. Contributors from around the world lend their expertise and provide an international perspective on groundwater management. They address the management of groundwater resources and pollution, waste water treatment methods, and the impact of climate change on groundwater and water availability (specifically in arid and semi-arid regions such as India and Africa). Incorporating management with science and modeling, the book covers all areas of groundwater resource assessment, modeling, and management, and combines hands-on applications with relevant theory. For Water Resource Managers and Decision Makers The book describes techniques for the assessment of groundwater potential, pollution, prevention, and remedial measures, and includes a new approach for groundwater modeling based on connections (network theory). Approximately 30 case studies and six hypothetical studies are introduced reflecting a range of themes that include: groundwater basics and the derivation of groundwater flow equations, exploration and assessment, aquifer parameterization, augmentation of aquifer, water and environment, water and agriculture, the role of models and their application, and water management policies and issues. The book describes remote sensing (RS) applications, geographical information systems (GIS), and electrical resistivity methods to delineate groundwater potential zones. It also takes a look at: Inverse modeling (pilot-points method) Simulation optimization models Radionuclide migration studies through mass transport modeling Modeling for mapping groundwater potential Modeling for vertical 2-D and 3-D groundwater flow Groundwater Assessment, Modeling, and Management explores the management of water resources and the impact of climate change on groundwater. Expert contributors provide practical information on hydrologic engineering and groundwater resources management for students, researchers, scientists, and other practicing professionals in environmental engineering, hydrogeology, irrigation, geophysics, and environmental science.