Finite Element Modeling Of Environmental Problems

Author : Graham F. Carey
Publisher :
ISBN 13 :
Total Pages : 400 pages
Book Rating : 4.12/5 ( download)

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Download or read book Finite Element Modeling of Environmental Problems written by Graham F. Carey and published by . This book was released on 1995-12-04 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: Because of its ability to treat both regions with irregular boundaries and with different material types, the finite element method is increasingly being applied to surface water and soil transport problems and this is the focus of the present volume. The method is ideally suited to simulation of complex real applications for resolving environmental issues and for conducting environmental impact studies. The present volume focuses on the two main areas of environmental modeling with finite elements and the supporting finite element methodology. Five chapters are devoted to ocean and coastal engineering, one to other surface water problems, several to ground water modeling and contaminant transport, including radioactive waste, and the remainder to mathematical models, particularly for mixed finite elements and nonlinear problems. Environmental problems are of increasing topicality and importance today. Special care has been taken in organizing and editing the material to form the right combination of modeling, methodology, and applications studies to form a cohesive treatment appropriate for a graduate course or seminar on the subject. It is aimed in particular at engineers working in computational environmental fluid mechanics and transport processes.

Author : G.I. Marchuk
Publisher : Elsevier
ISBN 13 : 0080875378
Total Pages : 221 pages
Book Rating : 4.78/5 ( download)

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Download or read book Mathematical Models in Environmental Problems written by G.I. Marchuk and published by Elsevier. This book was released on 2011-08-18 with total page 221 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical Models in Environmental Problems

Author : Vahid Nassehi
Publisher : World Scientific
ISBN 13 : 1848164297
Total Pages : 265 pages
Book Rating : 4.91/5 ( download)

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Download or read book Finite Element Modeling of Multiscale Transport Phenomena written by Vahid Nassehi and published by World Scientific. This book was released on 2011 with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt: Complex multiscale systems such as combined free or porous flow regimes and transport processes governed by combined diffusion, convection and reaction mechanisms, which cannot be readily modeled using traditional methods, can be solved by multiscale or stabilized finite element schemes. Due to the importance of the described multiscale processes in applications such as separation processes, reaction engineering and environmental systems analysis, a sound knowledge of such methods is essential for many researchers and design engineers who wish to develop reliable solutions for industrially relevant problems. The main scope of this book is to provide an authoritative description of recent developments in the field of finite element analysis, with a particular emphasis on the multiscale finite element modeling of transport phenomena and flow problem.

Author : Daniel R. Lynch
Publisher : Springer Science & Business Media
ISBN 13 : 0387236201
Total Pages : 390 pages
Book Rating : 4.09/5 ( download)

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Download or read book Numerical Partial Differential Equations for Environmental Scientists and Engineers written by Daniel R. Lynch and published by Springer Science & Business Media. This book was released on 2006-06-02 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: For readers with some competence in PDE solution properties, this book offers an interdisciplinary approach to problems occurring in natural environmental media: the hydrosphere, atmosphere, cryosphere, lithosphere, biosphere and ionosphere. It presents two major discretization methods: Finite Difference and Finite Element, plus a section on practical approaches to ill-posed problems. The blend of theory, analysis, and implementation practicality supports solving and understanding complicated problems.

Author : María Isabel Asensio
Publisher : Springer Nature
ISBN 13 : 3030617955
Total Pages : 84 pages
Book Rating : 4.50/5 ( download)

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Download or read book Applied Mathematics for Environmental Problems written by María Isabel Asensio and published by Springer Nature. This book was released on 2021-02-23 with total page 84 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains some contributions presented at the Applied Mathematics for Environmental Problems minisymposium during the International Congress on Industrial and Applied Mathematics (ICIAM) held July 15-19, 2019 in Valencia, Spain. The first paper addresses a simplified physical wildfire spread model, based on partial differential equations solved with finite element methods and integrated into a GIS to provide a useful and efficient tool. The second paper focuses on one of the causes of the unpredictable behavior of wildfire, fire-spotting, through a statistical approach. The third paper addresses low -level wind shear which represents one of the most relevant hazards during aircraft takeoff and landing. It presents an experimental wind shear alert system that is based on predicting wind velocities obtained from the Harmonie-Arome model. The last paper addresses the environmental impact of oil reservoirs. It presents high-order hybridizable discontinuous Galerkin formulation combined with high-order diagonally implicit Runge-Kutta schemes to solve one-phase and two-phase flow problems through porous media. All the contributions collected in this volume are interesting examples of how mathematics and numerical modelling are effective tools in the field of environmental problems.

Author : Victor N. Kaliakin
Publisher : CRC Press
ISBN 13 : 1482271125
Total Pages : 695 pages
Book Rating : 4.26/5 ( download)

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Download or read book Introduction to Approximate Solution Techniques, Numerical Modeling, and Finite Element Methods written by Victor N. Kaliakin and published by CRC Press. This book was released on 2018-04-19 with total page 695 pages. Available in PDF, EPUB and Kindle. Book excerpt: Functions as a self-study guide for engineers and as a textbook for nonengineering students and engineering students, emphasizing generic forms of differential equations, applying approximate solution techniques to examples, and progressing to specific physical problems in modular, self-contained chapters that integrate into the text or can stand alone! This reference/text focuses on classical approximate solution techniques such as the finite difference method, the method of weighted residuals, and variation methods, culminating in an introduction to the finite element method (FEM). Discusses the general notion of approximate solutions and associated errors! With 1500 equations and more than 750 references, drawings, and tables, Introduction to Approximate Solution Techniques, Numerical Modeling, and Finite Element Methods: Describes the approximate solution of ordinary and partial differential equations using the finite difference method Covers the method of weighted residuals, including specific weighting and trial functions Considers variational methods Highlights all aspects associated with the formulation of finite element equations Outlines meshing of the solution domain, nodal specifications, solution of global equations, solution refinement, and assessment of results Containing appendices that present concise overviews of topics and serve as rudimentary tutorials for professionals and students without a background in computational mechanics, Introduction to Approximate Solution Techniques, Numerical Modeling, and Finite Element Methods is a blue-chip reference for civil, mechanical, structural, aerospace, and industrial engineers, and a practical text for upper-level undergraduate and graduate students studying approximate solution techniques and the FEM.

Author : Ioannis Koutromanos
Publisher : John Wiley & Sons
ISBN 13 : 1119260086
Total Pages : 724 pages
Book Rating : 4.80/5 ( download)

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Download or read book Fundamentals of Finite Element Analysis written by Ioannis Koutromanos and published by John Wiley & Sons. This book was released on 2018-02-12 with total page 724 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introductory textbook covering the fundamentals of linear finite element analysis (FEA) This book constitutes the first volume in a two-volume set that introduces readers to the theoretical foundations and the implementation of the finite element method (FEM). The first volume focuses on the use of the method for linear problems. A general procedure is presented for the finite element analysis (FEA) of a physical problem, where the goal is to specify the values of a field function. First, the strong form of the problem (governing differential equations and boundary conditions) is formulated. Subsequently, a weak form of the governing equations is established. Finally, a finite element approximation is introduced, transforming the weak form into a system of equations where the only unknowns are nodal values of the field function. The procedure is applied to one-dimensional elasticity and heat conduction, multi-dimensional steady-state scalar field problems (heat conduction, chemical diffusion, flow in porous media), multi-dimensional elasticity and structural mechanics (beams/shells), as well as time-dependent (dynamic) scalar field problems, elastodynamics and structural dynamics. Important concepts for finite element computations, such as isoparametric elements for multi-dimensional analysis and Gaussian quadrature for numerical evaluation of integrals, are presented and explained. Practical aspects of FEA and advanced topics, such as reduced integration procedures, mixed finite elements and verification and validation of the FEM are also discussed. Provides detailed derivations of finite element equations for a variety of problems. Incorporates quantitative examples on one-dimensional and multi-dimensional FEA. Provides an overview of multi-dimensional linear elasticity (definition of stress and strain tensors, coordinate transformation rules, stress-strain relation and material symmetry) before presenting the pertinent FEA procedures. Discusses practical and advanced aspects of FEA, such as treatment of constraints, locking, reduced integration, hourglass control, and multi-field (mixed) formulations. Includes chapters on transient (step-by-step) solution schemes for time-dependent scalar field problems and elastodynamics/structural dynamics. Contains a chapter dedicated to verification and validation for the FEM and another chapter dedicated to solution of linear systems of equations and to introductory notions of parallel computing. Includes appendices with a review of matrix algebra and overview of matrix analysis of discrete systems. Accompanied by a website hosting an open-source finite element program for linear elasticity and heat conduction, together with a user tutorial. Fundamentals of Finite Element Analysis: Linear Finite Element Analysis is an ideal text for undergraduate and graduate students in civil, aerospace and mechanical engineering, finite element software vendors, as well as practicing engineers and anybody with an interest in linear finite element analysis.

Author : Jean Donea
Publisher : John Wiley & Sons
ISBN 13 : 9780471496663
Total Pages : 366 pages
Book Rating : 4.69/5 ( download)

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Download or read book Finite Element Methods for Flow Problems written by Jean Donea and published by John Wiley & Sons. This book was released on 2003-06-02 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt: Die Finite-Elemente-Methode, eines der wichtigsten in der Technik verwendeten numerischen Näherungsverfahren, wird hier gründlich und gut verständlich, aber ohne ein Zuviel an mathematischem Formalismus abgehandelt. Insbesondere geht es um die Anwendung der Methode auf Strömungsprobleme. Alle wesentlichen aktuellen Forschungsergebnisse wurden in den Band aufgenommen; viele davon sind bisher nur verstreut in der Originalliteratur zu finden.

Author : Ralph Ta-shun Cheng
Publisher :
ISBN 13 :
Total Pages : 112 pages
Book Rating : 4.99/5 ( download)

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Download or read book Finite Element Modeling of Flow Through Porous Media written by Ralph Ta-shun Cheng and published by . This book was released on 1975 with total page 112 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Deguan Wang
Publisher : World Scientific
ISBN 13 : 9812707522
Total Pages : 241 pages
Book Rating : 4.29/5 ( download)

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Download or read book Mathematical Methods for Surface and Subsurface Hydrosystems written by Deguan Wang and published by World Scientific. This book was released on 2007 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: With the increasing awareness of the heavy burden placed on environmental resources and the need for industry and public institutions to cope with more stringent regulations, this timely book focuses on some specific, but very important, environmental problems, namely, surface and subsurface hydrosystems. Covering state-of-the-art techniques to model such systems, the volume will be of great benefit to all researchers in applied mathematics and environmental engineering.