Holzbecher E. Environmental Modeling: Using MatLAB

Springer, 2012. — 430 p. — ISBN: 364222041X.The book has two aims: to introduce basic concepts of environmental modelling and to facilitate the application of the concepts using modern numerical tools such as MatLAB. It is targeted at all natural scientists dealing with the environment: process and chemical engineers, physicists, chemists, biologists, biochemists, hydrogeologists, geochemists and ecologists. MatLAB was chosen as the major computer tool for modeling, firstly because it is unique in it's capabilities, and secondly because it is available in most academic institutions, in all universities and in the research departments of many companies. In the 2nd edition many chapters will include updated and extended material. In addition the MatLAB command index will be updated and a new chapter on numerical methods will be added. For the second edition of 'Environmental Modeling' the first edition was completely revised. Text and figures were adapted to the recent MatLAB version. Several chapters were extended. Correspondingly the index of MatLAB commands was extended considerably, which makes the book even more suitable to be used as a reference work by novices. Finally an introduction into numerical methods was added as a new chapter.Primer to Modeling with MatLABEnvironmental Modeling Using MatLAB
Introduction to MatLAB
Getting Started with MatLAB
Matrices in MatLAB
Basic Matrix Operations
A Simple Environmental Model
MatLAB Graphics – The Figure Editor
MatLAB Help SystemFundamentals of Modeling, Principles and MatLAB
Model Types
Modeling Steps
Fundamental Laws
Conservation of Mass
Conservation of Momentum
Conservation of Energy
Continuity Equation for Mass
MatLAB M-files
Ifs and Loops in MatLAB
Debugging of M-filesTransport
The Conservation Principle
Fick’s Law and Generalizations
Diffusion
Dispersion
The Transport Equation
Mass Transport
Fourier’s Law and Heat Transport
Dimensionless Formulation
Boundary and Initial ConditionsTransport Solutions
D Transient Solution for the Infinite Domain
A Simple Numerical Model
Comparison Between Analytical and Numerical Solution
Numerical Solution Using MatLAB pdepe
Example: D Inflow FrontTransport with Decay and Degradation
Decay and Degradation
D Steady State Solution
Dimensionless Formulation
Transient SolutionsTransport and Sorption
Interphase Exchange
Retardation
Analytical Solution
Numerical Solutions
Slow Sorption
MatLAB AnimationsTransport and KineticsLaw of Mass Action for Kinetic Reactions
Monod, Michaelis–Menten and Blackwell Kinetics
Bacteria Populations
Steady StatesTransport and Equilibrium Reactions
Introductory Example
The Law of Mass Action for Equilibrium Reactions
Speciation Calculations
Sorption and the Law of Mass Action
Transport and SpeciationOrdinary Differential Equations: Dynamical Systems
Streeter-Phelps Model for River Purification
Details of Michaelis–Menten or Monod Kinetics
D Steady State Analytical Solution
Redox SequencesParameter EstimationPolynomial Curve Fitting
Exponential Curve Fitting
Parameter Estimation with Derivatives
Transport Parameter Fitting
General ProcedureAdvanced Modeling Using MatLABFlow Modeling
The Navier-Stokes Equations for Free Fluids
The Euler Equations and the Bernoulli Theorem
Darcy’s Law for Flow in Porous Media
Flow in Unsaturated Porous MediaGroundwater Drawdown by Pumping
Confined Aquifer
Unconfined Aquifer
Half-confined Aquifer
Unsteady Drawdown and Well Function
Automatic Transmissivity EstimationAquifer Baseflow and D Meshing
D1 Analysis
D2 Implementation
D3 Implementation
Meshs and GridsPotential and Flow Visualization
Definition and First Examples
Potential and Real World Variables
Example: Groundwater Baseflow and Well
MatLAB D1 Graphics
MatLAB D2 GraphicsStreamfunction and Complex Potential
Streamfunction
The Principle of Superposition
The Doublette
Mirror Wells
Complex Analysis and Complex Potential
Example: Vortices or Wells Systems
Example: Thin Objects in Potential FlowD and D Transport Solutions (Gaussian Puffs and Plumes)D Instantaneous Line Source
D Constant Line Source
D Instanteneous Source
D Constant SourceImage Processing and Geo-ReferencingReading and Display
Geo-Referencing
Digitizing
MatLAB FunctionsCompartment Graphs and Linear Systems
Compartments and Graphs
Linear Systems
Eigenvalues and Phase SpaceNonlinear Systems
Logistic Growth
Competing Species
Predator–Prey Models
Chaos (Lorenz Attractor)Graphical User Interfaces
The MatLAB Guide
The Transport GUINumerical Methods: Finite Differences
Introductory Example
Finite Differences
A Finite Difference Example
Solution for the D Poisson equation
Solution for the D Diffusion-Decay EquationSupplements
MatLAB Data Import
Data Export
Data Presentation in a Histogram
EpilogueMatLAB Command Index
Companion Software List