Introduction to Groundwater Modeling: Finite Difference and Finite Element Methods

Book Description

The dramatic advances in the efficiency of digital computers during the past decade have provided hydrologists with a powerful tool for numerical modeling of groundwater systems. Introduction to Groundwater Modeling presents a broad, comprehensive overview of the fundamental concepts and applications of computerized groundwater modeling.
The book covers both finite difference and finite element methods and includes practical sample programs that demonstrate theoretical points described in the text. Each chapter is followed by problems, notes, and references to additional information. This volume will be indispensable to students in introductory groundwater modeling courses as well as to groundwater professionals wishing to gain a complete introduction to this vital subject.

Key Features
* Systematic exposition of the basic ideas and results of Hilbert space theory and functional analysis
* Great variety of applications that are not available in comparable books
* Different approach to the Lebesgue integral, which makes the theory easier, more intuitive, and more accessible to undergraduate students

Customer Reviews:

Introduction to Groundwater Modeling.......2003-05-05

I found this text very valuable in explaining the differences between these two methods and how each handles the dependent variable (head) and its first derivative (flow). The text also discusses Laplaces equation, iterative methods including Gauss-Seidel/SOR. Chapters are dedicated to finite difference and finite element methods under steady-state and transient conditions. It also demonstrates how each element is handled separately using finite element method and then the equations are assembled into a conductance matrix.

This text is a very good complement to other modeling texts. However, if you want to learn how to set up your hydrogeologic conceptual model, what data is needed to develop a good model, how to choose your numerical model, verify, calibrate your model, interpret results and perform a post audit, this is not that text. For the purpose of model setup etc. I would recommend Applied Groundwater Modeling.

Outdated and of little value.......2001-12-09

I found this book somewhat outdated. Even though it was well-written if was of little value. There are several other books of better quality.

Highly recommended.......2000-03-31

I've used this book in two of my groundwater modeling classes. Despite the fact that it is a little outdated, it has the clearest explaination I've come across of the mathematics behind groundwater modeling. In addition, it contains very good example problems.

Introduction to Physical Modeling with Modelica (The International Series in Engineering and Computer Science)

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Good introductory book
Hands-on experience with Modelica

Introduction to Physical Modeling with Modelica (The International Series in Engineering and Computer Science)

Manufacturer: Springer
ProductGroup: Book
Binding: Hardcover

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Principles of Object-Oriented Modeling and Simulation with Modelica2.1

ASIN: 0792373677

Book Description

The first book on Modelica, a modeling language that can be used to simulate both continuous and discrete behavior, Introduction to Physical Modeling with Modelica provides the necessary background to develop Modelica models of almost any physical system. The author starts with basic differential equations from several engineering domains and describes how these equations can be used to create reusable component models. Next, he describes techniques for modeling complex non-linear behavior, exploiting the powerful array handling features and mixing continuous and discrete behavior. The second part of the book focuses on effective use of all the language features provided by the Modelica modeling language. This includes, among other things, discussions on maximizing the reusability of component models being developed, managing the model development process, and making models as computationally efficient as possible. Introduction to Physical Modeling with Modelica includes a companion CD-ROM with the Modelica source code for all examples as well as an evaluation copy of Dymola. Using Dymola, readers can immediately begin to explore the dynamics of the models included with the book or to develop their own models. Nearly 100 examples of mechanical, electrical, biological, chemical, thermal and hydraulic models are included. Introduction to Physical Modeling with Modelica will be of interest to all professional engineers and university researchers developing physical models. Students studying control system development or modeling of physical systems will also find it useful.

Customer Reviews:

Good introductory book.......2005-06-13

The book is well structured and have many interesting examples. The book is a good start point for anyone who wants to start learning Modelica. The price is in my opinion a little bit expensive since the book is based on Modelica 1.6 language specification and the latest spec is 2.2 with some relevant changes.

Hands-on experience with Modelica.......2001-12-11

One of the weakest points of the new object-oriented modelling language Modelica was the lack of an introduction to help engineers and scientists understand the differences to other modelling concepts. Using many examples from the automotive industry, electrical, mechanical and chemical engineering this book explains the concept of physical modelling, i. e. using basic laws to describe physical systems, and shows how to formulate these principles in Modelica. The Modelica language is presented in a series of examples that gradually grow more complex. The companion CD contains the complete source code of the examples and a working version of the commercial tool Dymola. The reader can thus start with the given examples and modify them to get some practise with the tool and the language.

The emphasis of the presentation is on the engineering task of building a model, for more theoretical questions references are given.

Product Description

This new version of a classic updates much of the material in earlier editions, including the first chapter, on the history of the field. Important modifications reflect major discoveries of the past decades. A historical perspective is maintained throughout. The reader is drawn into the process of discovery: starting with a phenomenon, finding plausible explanations and competing theories and finally, the solution. The theory of magnetism is practically a metaphor for theoretical physics. The very first quantum many-body theory (Bethes ansatz) was devised for magnetic chains, just as mean-field theory was invented a century ago by Weiss to explain Curies Law. The first two chapters of this book are immensely readable, taking us from prehistory to the spin valves" of the most recent past. Topics in subsequent chapters include: angular momenta and spin (Chapter 3), quantum theory of simple systems, followed by increasingly technical insights into ordered and random systems, thermal fluctuations, phase transitions, chaos and the like. Contemporary developments in nanotechnology now seek to take advantage of the electrons spin as well as of its charge. The time is not far off when nano-circuits made entirely of silicon exhibit such many-body properties as superconductivity or ferromagnetism without any superconducting materials or magnetic ions being present. The reader of this book will be prepared for such exotic twenty-first century applications. Daniel C Mattis, BS, MS, PhD, Fellow of the American Physical Society (APS), is a frequent lecturer at research institutions and the author of several textbooks and numerous research articles. His expertise includes many-body theory, electrical conductivity, quantum theory of magnetism and most recently, nanotechnology. Prof. Mattis is on the editorial panel for high-temperature superconductivity of the International Journal of Modern Physics B and Modern Physics Letters B, both published by World Scientific. Currently serving as Professor in the Physics department at the University of Utah in Salt Lake City, Utah, USA, at various times he has been visiting Professor at Yale University (New Haven), State University of New York (Buffalo), Temple University (Philadelphia), and served as Wei-Lun Visiting Professor" at the Chinese University of Hong Kong. A founding member of the Few-Body Physics" section of the APS, he has also served as Chair of the standing committee of the! APS for the International Freedom of Scientists."

Customer Reviews:

Good review.......2007-01-23

This book is a good review on this subject. In starting the book with a brief history of the magnetism, the author shows in a very soft way how important the Quantum Mechanics is to this subject. There are very good examples for each section and what there is most recent in this issue. Unfortunately, some important topics are treated in a very superficial way. As an example is the renormalization group which has an enormous application in magnetism. Despite that, this book would be a good choice to a course on introduction to magnetism.

Not What Is Expected.......2007-01-01

The "made simple" part of the title is completely misleading. Its is not at all simple. Not at all at an introductry level.

The chapter on angular momentum has many "trivial" mistakes. For example, he writes J|Y) = (h-bar)m|Y) and calls "m the eigenvalue". But it is the "(h-bar)m" that is the eignevalue and not just "m".

A little later he writes that he will from this point on use units in which h-bar = 1. O.K. But then he continue to write in h-bar all over the place.

This book could use a good technical editor.

And, again, it is not a "made simple" book unless you already know the material.

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The basic of CFD
Simply Fantastic
Computational Fluid Dynamics
Great introduction to CFD!!
Great!

Computational Fluid Dynamics
John D. Anderson
Manufacturer: McGraw-Hill Science/Engineering/Math
ProductGroup: Book
Binding: Hardcover

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ASIN: 0070016852

Book Description

The Beginner's guide to Computational Fluid Dynamics From aerospace design to applications in civil, mechanical, and chemical engineering, computational fluid dynamics (CFD) is as essential as it is complex. The most accessible introduction of its kind, Computational Fluid Dynamics: The Basics With Applications, by experienced aerospace engineer John D. Anderson, Jr., gives you a thorough grounding in: the governing equations of fluid dynamics--their derivation, physical meaning, and most relevant forms; numerical discretization of the governing equations--including grids with appropriate transformations and popular techniques for solving flow problems; common CFD computer graphic techiniques; applications of CFD to 4 classic fluid dynamics problems--quasi-one-dimensional nozzle flows, two-dimensional supersonic flow, incompressible couette flow, and supersonic flow over a flat plate; state-of-the-art algorithms and applications in CFD--from the Beam and Warming Method to Second-Order Upwind Schemes and beyond.

Customer Reviews:

The basic of CFD.......2007-08-14

I found the basic knowledge for understanding the computational fluid dynamics. If you have "computational fluid dynamics, Hypersonic and high temperature of gas dynamic" and a software for solve linear system and EDO( like Mathenatica), you could make computational fluid dynamic.Also clarify "Time-dependent approach to the steady state","classification of quasi-linear partial differential equations","Implicit and Explicit methods","Boundary-fitted coordinate","Time and space marching".

Simply Fantastic.......2007-02-04

I am presently in my 4th year of a PhD in Astrophysics. While my background in the analytic portion of Fluid Dynamics is strong my understanding of how one discretizes and solves these equations numerically is somewhat lacking.

I picked this book up as a starting point to more complicated methods and found it to be, hands down, one of the best texts I have ever read. It presents the material in a concise, clear, and physically motivated fashion which makes learning the topic incredibly straightforward.

While this book is only a 'kicking off' point for more advanced techniques I think it is a must read for beginners and intermediate users. For the first timer to CFD the book will get you started down the right path armed with all the preliminary tools. For the more advanced user it will put aspects of the topic into an easier to understand light and perhaps shed more light on fundamentals that were presented poorly elsewhere.

I'd give it ten stars, it's allowed me to crack into the code I'm using and really understand why it works as well as having set me down the path to a more advanced level of understanding of CFD.

Computational Fluid Dynamics.......2006-08-28

This is a very easy book to read. Anderson not only explains the computational methods, he covers the basics and explains the relevance of the equations and terms. This book addresses the needs for people with little background on this subject. I recommend it for any novice interested in obtaining a basic introduction to CFD.

Great introduction to CFD!!.......2006-07-17

This is one of the best books I have read on CFD. Dr. Anderson divided the book into 3 sections: Basic Equations, Numerical Concepts, and Do-It-Yourself examples. Each section is very detailed and easy to follow. The only thing that could improve this great book is to include a CD with the examples. I recommand this book for all CFD beginners!

Great!.......2004-09-16

If you want to learn CFD from the beginning, you must buy this book. It is simply the BEST, and I hadn't enjoyed reading a technical book since long time ago.

Mathematical Methods for the Physical Sciences: An Informal Treatment for Students of Physics and Engineering

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Mathematical Methods for the Physical Sciences: An Informal Treatment for Students of Physics and Engineering
K. F. Riley
Manufacturer: Cambridge University Press
ProductGroup: Book
Binding: Paperback

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ASIN: 0521098394

Book Description

Many students of physical and applied science and of engineering find difficulty in copying with the mathematics necessary for the quantitative manipulation of the physical concepts they are atudying in their main course. This book is designed to help first and second year under-graduates at universities and polytechnics, as well as technical college students, to find their feet in the important mathematical methods they will need. Throughout the text the physical relevance of the mathematics is constantly stressed and, where it is helpful, use has been made of pictorial mathematics and qualitative verbal descriptions instead of over-compact mathematical symbolism. Topics are presented in three stages: a qualitative introduction, a more formal presentation and an explicit check or worked example. There are many exercises included in the text which are aimed at testing a student's understanding and building his confidence progressively throughout each piece of work.

Analysis of Chemically Reacting Systems: A Stochastic Approach (Topics in Chemical Engineering, Vol 4)

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Analysis of Chemically Reacting Systems: A Stochastic Approach (Topics in Chemical Engineering, Vol 4)
L. Doraiswamy
Manufacturer: Routledge
ProductGroup: Book
Binding: Hardcover

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Applications of the Hardy-Littlewood Method (Philosophical Transactions of the Royal Society, Series A: Mathematical, Physical and Engineering Sciences, Volume 356 No. 1738, March 1998)

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Applications of the Hardy-Littlewood Method (Philosophical Transactions of the Royal Society, Series A: Mathematical, Physical and Engineering Sciences, Volume 356 No. 1738, March 1998)

Manufacturer: Royal Society of London
ProductGroup: Book
Binding: Paperback
ASIN: B000REWS4K

Atoms, Molecules And Clusters in Electric Fields: Theoretical Approaches to the Calculation of Electric Polarizability (Computational, Numerical and Mathematical Methods in Sciences and Engineering)

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New Book on the theoretical determination of electric polarizability and hyperpolarizability

Atoms, Molecules And Clusters in Electric Fields: Theoretical Approaches to the Calculation of Electric Polarizability (Computational, Numerical and Mathematical Methods in Sciences and Engineering)

Manufacturer: Imperial College Press
ProductGroup: Book
Binding: Hardcover

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ASIN: 1860946763

Customer Reviews:

New Book on the theoretical determination of electric polarizability and hyperpolarizability.......2006-08-09

Contents
P.Schwerdtfeger
Atomic static dipole polarizabilities
O.Quinet, B.Champagne and B.Kirtman
First-order ZPVA correction to first hyperpolarizabilities of mono-substituted benzene molecules
C.Pouchan, D.Y. Zhang and D.Bégué
Polarizability and Hyperpolarizability in Small Silicon Clusters
P.Fuentealba
Theoretical calculations of the static dipole polarizability of atoms and small atomic clusters
F.L.Gu, A.Imamura and Y.Aoki
Elongation method for polymers and its application to Nonlinear Optics
H.Torii
Responses of molecular vibrations to intermolecular electrostatic interactions and their effects on vibrational spectroscopic features
J.Kongsted, A.Osted,K.V. Mikkelsen and O.Christiansen
The (hyper)polarizabilities of liquid water modelled using coupled cluster/molecular mechanics response theory methods.
L. Jensen and P. Th. van Duijnen
The discrete solvent reaction field model: a quantum mechanics/molecular mechanics model for calculating nonlinear optical properties of molecules in condensed phase.
D.Wu , Z.R.Li, Y.Li and C.C.Sun
Extraordinary first hyperpolarizabilities from loosely bound electron in dipole-bound anions: (HF)n- (n = 2, 3, 4).
M.Nakano
Third-Order nonlinear optical properties of open-shell and/or charged molecular systems
K.Coutinho and S.Canuto
Sequential monte carlo/quantum mechanics study of the dipole polarizability of atomic liquids. The argon case.
T. Bancewicz, Y. Le Duff and J.-L. Godet
High order polarizabilities from optical interaction-induced spectroscopy
M.A. Buldakov and V.N.Cherepanov
Polarizability functions of diatomic molecules and their dimers.
A.J. Thakkar and C.Lupinetti
Atomic polarizabilities and hyperpolarizabilities: a critical compilation.
Z.C.Yan, J.Y.Zhang and Y.Li
Polarizabilities of few-body atomic and molecular systems.
K.Wu
Nonlinear optical properties of transition-metal clusters.
G.Maroulis and A.Haskopoulos
Interaction (hyper)polarizability in N2-He, CO2-He, H2O-He, (H2O)2-He and O3-He.
K. R. S. Chandrakumar, Tapan K. Ghanty and Swapan K. Ghosh
Theoretical Studies on Polarizability of Alkali Metal Clusters
P.Senet, M.Yang and C.Van Alsenoy
Charge distribution and polarisabilities of water clusters.

Computational Methods for Heat and Mass Transfer (Computational and Physical Processes in Mechanics and Thermal Sciences)

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Computational Methods for Heat and Mass Transfer (Computational and Physical Processes in Mechanics and Thermal Sciences)
Pradip Majumdar
Manufacturer: Taylor & Francis
ProductGroup: Book
Binding: Hardcover

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ASIN: 1560329947

Book Description

The advent of high-speed computers has encouraged a growing demand for newly graduated engineers to possess the basic skills of computational methods for heat and mass transfer and fluid dynamics. Computational fluid dynamics and heat transfer, as well as finite element codes, are standard tools in the computer-aided design and analysis of processes and products involving coupled transport and multi-physic phenomena. This textbook introduces the fundamentals of two important computational techniques for solving heat and mass transfer and fluid flow problems: finite difference and finite element methods.

The objective of the book is to help the students thoroughly understand the basic concepts and procedures of fluid dynamics, heat and mass transfer and implement computational methodology into a computer code and solve more complex problems on their own. Theory and practice are combined in a simple and straightforward manner. Classic problems in heat transfer, mass transfer, and fluid flows are solvedand illustrated through step-by-step derivations and numerous figures. End-of-chapter problems are provided at the end of every chapter for extra practice and homework assignments.

The book is divided into three parts: Part One contains a review of basic equations of heat transfer, mass transfer and fluid dynamics; concepts of numerical approximations and errors; numerical solution techniques for systems of linear algebraic equations; and numerical integrations and quadrature formulas. (The last two topics are included primarily for students who have had no prior course on numerical analysis). Part Two introduces the finite difference/control volume method. Part Three presents the finite element method.

As an introductory text, this book is appropriate for senior undergraduate and first-year graduate level courses. Students taking independent study can use the text as a comprehensive reference guide. Others who will find it a useful resource include practicing engineers and scientists developing their own codes and using commercial codes for the analysis and design of processes and products involving heat and mass transfer and fluid dynamics.

Computational Methods in Surface and Colloid Science (Surfactant Science)

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Computational Methods in Surface and Colloid Science (Surfactant Science)

Manufacturer: CRC
ProductGroup: Book
Binding: Hardcover

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This volume presents computer simulation methods and mathematical modelling of physical processes used in surface science research. It offers in-depth analysis of advanced theoretical approaches to behaviours of fluids in contact with porous, semiporous and nonporous solid surfaces. The book also explores interfacial systems for a wide variety of phenomena, including: absorption, flotation, osmosis, and colloidal stability.

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