Hinkelmann Efficient Numerical Methods and Information-Processing Techniques for Modeling Hydro- and Environmental Systems

1. Auflage 2006
ISBN: 978-3-540-32379-2
Verlag: Springer Berlin Heidelberg
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, Band 21, 306 Seiten

Reihe: Lecture Notes in Applied and Computational Mechanics

Numerical simulation models have become indispensable in hydro- and environmental sciences and engineering. This monograph presents a general introduction to numerical simulation in environment water, based on the solution of the equations for groundwater flow and transport processes, for multiphase and multicomponent flow and transport processes in the subsurface as well as for flow and transport processes in surface waters. It displays in detail the state of the art of discretization and stabilization methods (e.g. finite-difference, finite-element, and finite-volume methods), parallel methods, and adaptive methods as well as fast solvers, with particular focus on explaining the interactions of the different methods. The book gives a brief overview of various information-processing techniques and demonstrates the interactions of the numerical methods with the information-processing techniques, in order to achieve efficient numerical simulations for a wide range of applications in environment water.

Autoren/Hrsg.

Hinkelmann, Reinhard

Inhaltsverzeichnis

1;Preface;5
2;Contents;7
3;Nomenclature;11
3.1;terms with Latin letters;11
3.2;terms with Greek letters;14
3.3;indices;15
3.4;exponents;16
3.5;abbreviations;16
4;1 Introduction;19
4.1;1.1 Systems and scales;19
4.2;1.2 Numerical process simulation;24
4.3;1.3 Model concepts and modeling systems;26
4.4;1.4 De.cits and objectives of the work;33
5;2 Physical and mathematical model concepts;36
5.1;2.1 Physical model concepts;36
5.2;2.2 General form of the balance equation;44
5.3;2.3 Mathematical model concept for groundwater flow and transport processes;46
5.4;2.4 Mathematical model concept for two-phase flow processes in the subsurface;54
5.5;2.5 Mathematical model concept for two-phase / multicomponent .ow and transport processes in the subsurface;61
5.6;2.6 Mathematical model concept for flow and transport processes in surface water;65
6;3 Efficient numerical methods;72
6.1;3.1 Discretization and stabilization methods;72
6.2;3.2 Parallel methods;114
6.3;3.3 Adaptive methods;135
6.4;3.4 Fast solvers;156
7;4 Efficient information-processing techniques;183
7.1;4.1 Preprocessing;183
7.2;4.2 Processing;200
7.3;4.3 Postprocessing;212
7.4;4.4 WWW-based Collaborative Engineering;215
8;5 Applications;220
8.1;5.1 Groundwater .ow and transport processes;220
8.2;5.2 Two-phase .ow processes in the subsurface;233
8.3;5.3 Two-phase / multicomponent flow and transport processes in the subsurface;253
8.4;5.4 Flow and transport processes in surface water;263
9;6 Summary and conclusions;292
10;References;298
11;Index;315