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

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Springer Science & Business Media, Jan 18, 2005 - Science - 306 pages
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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.

 

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Contents

Introduction
1
12 Numerical process simulation
6
13 Model concepts and modeling systems
8
132 Modeling systems
11
133 Need for laboratory and field experiments
13
14 Deficits and objectives of the work
15
142 Objectives of the work
16
Physical and mathematical model concepts
19
34 Fast solvers
139
342 Singlegrid solvers
140
343 Preconditioners
147
344 Multigrid solvers
151
345 Nonlinear solvers
160
346 Examples
162
Efficient informationprocessing techniques
167
412 CAD systems
170

212 Subsurface systems
20
213 Surfacewater systems
24
22 General form of the balance equation
27
23 Mathematical model concept for groundwater flow and transport processes
29
232 Transport processes
32
24 Mathematical model concept for twophase flow processes in the subsurface
37
242 Momentum equation
38
243 Constitutive relations
39
244 Twophase flow equations
42
25 Mathematical model concept for twophase multicomponent flow and transport processes in the subsurface
44
251 Continuity and momentum equation
45
253 Twophase threecomponent flow and transport equations
46
26 Mathematical model concept for flow and transport processes in surface water
48
262 Transport processes
53
Efficient numerical methods
55
312 Time discretization
58
313 FiniteDifference Methods
62
314 FiniteElement Methods
72
315 FiniteVolume Methods
84
316 Some other methods
94
32 Parallel methods
97
321 Development of HighPerformance Computing
98
323 Parallelization of basic tasks
100
324 Load balancing
107
325 Particle Methods and series
112
326 Recommendations
114
33 Adaptive methods
118
332 Error estimators and indicators
123
333 Refinement and coarsening
130
334 Examples
135
413 Databasemanagement systems
172
414 Tomography and scanning
173
415 Geographical Information Systems
175
416 Geostatistical methods
178
417 Mesh generation
180
42 Processing
184
422 Networks and communication in HPC
187
423 Performance numbers
189
424 MUFTEUG
191
43 Postprocessing
196
44 WWWbased Collaborative Engineering
199
442 Software tools and hardware requirements
200
443 HydroWeb
202
Applications
205
511 Motivation of the equidimensional modeling approach for fracturematrix systems
206
512 The numerical algorithm
208
514 Comparison of the low and equidimensional modeling approaches
209
515 Comparison of upwind methods
212
517 Evaluation and future work
217
52 Twophase flow processes in the subsurface
218
Methane migration processes in coal mining areas
219
Gaswater flow processes in dike systems
232
Multistep outflow experiment
236
53 Twophase multicomponent flow and transport processes in the subsurface
238
54 Flow and transport processes in surface water
248
542 Threedimensional flow and transport processes in shallow water
263
Summary and conclusions
277
References
283
Index
301
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