Lecture Notes in Computational Science and Engineering

Benchmarks and Examples

By: Olaf Kolditz (Editor), Uwe-Jens GÃ¶rke (Editor), Hua Shao (Editor)

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Hardcover | 7 April 2012

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416 Pages

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24.13 x 15.88 x 2.54

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The book comprises an assembly of benchmarks and examples for porous media mechanics collected over the last twenty years. Analysis of thermo-hydro-mechanical-chemical (THMC) processes is essential to many applications in environmental engineering, such as geological waste deposition, geothermal energy utilisation, carbon capture and storage, water resources management, hydrology, even climate chance. In order to assess the feasibility as well as the safety of geotechnical applications, process-based modelling is the only tool to put numbers, i.e. to quantify future scenarios. This charges a huge responsibility concerning the reliability of computational tools. Benchmarking is an appropriate methodology to verify the quality of modelling tools based on best practices. Moreover, benchmarking and code comparison foster community efforts. The benchmark book is part of the OpenGeoSys initiative - an open source project to share knowledge and experience in environmental analysis and scientific computation.

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Introduction	p. 1
Scope of This Book	p. 2
Application Areas	p. 2
Theory and Numerics	p. 7
Theory	p. 9
Continuum Mechanics	p. 10
Porous Medium	p. 19
Balance Equations	p. 26
Fluid Properties	p. 32
Mechanical Properties	p. 41
Porous Medium Properties	p. 54
Numerical Methods	p. 61
Introduction	p. 62
Object-Orientation in Finite Element Analysis	p. 63
General Finite Element Formulations	p. 69
Element Objects: ELE	p. 71
Parallel Computing and Automatic Control for Time Stepping	p. 84
Benchmarks for Single Processess	p. 87
Heat Transport	p. 89
Linear Heat Conduction in a Finite Solid	p. 90
Radial Heat Conduction in a Solid	p. 93
Heat Transport in a Fracture	p. 94
Heat Transport in a Porous Medium	p. 96
Heat Transport in a Porous Medium	p. 98
Heat Transport in a Fracture-Matrix System	p. 101
Groundwater Flow	p. 107
Groundwater Flow in an Anisotropic Medium	p. 107
Groundwater Flow in a Heterogeneous Medium	p. 109
Confined Aquifer with Constant Channel Source Term	p. 111
Thies' Problem	p. 114
Unconfined Aquifer	p. 117
2-D Steady State Flow in Porous Media with a Discrete Fracture	p. 120
Richards Flow	p. 125
Single Continuum	p. 127
Dual Continua	p. 138
Overland Flow	p. 143
Surface Flow on a Tilted V-Catchment	p. 145
Infiltration Excess (Horton) Overland Flow	p. 146
Gas Flow	p. 149
Material Functions	p. 151
Element Test	p. 152
Verifications	p. 154
Isothermal Compressible Gas Flow	p. 154
Joule-Thomson Cooling Processes	p. 155
Air Flow Example	p. 157
Deformation Processes	p. 161
Elasticity	p. 162
Elastoplasticity	p. 180
Viscoplastic Creep	p. 188
Mass Transport	p. 201
Diffusion	p. 202
Decay	p. 206
Sorption	p. 208
Sorption and Decay	p. 214
Matrix Diffusion	p. 216
Particle Tracking	p. 218
RWPT in Fractures	p. 229
Examples for Coupled Processes	p. 233
Density Dependent Flow	p. 235
Theory	p. 235
The Elder Problem	p. 237
The Goswami Problem	p. 239
The Schincariol Problem	p. 243
Multiphase Flow Processes	p. 247
Isothermal Two-Phase Flow	p. 247
Non-isothermal Two-Phase Flow	p. 262
Consolidation (HⁿM) Processes	p. 269
Single Phase Consolidation	p. 269
Unsaturated (Richards) Consolidation	p. 280
Two-Phase Consolidation	p. 286
Flow and Mechanics in Discrete Fracture-Matrix Rock Systems	p. 295
Thermomechanics	p. 299
Thermoelastic Stress Analysis in Homogeneous Material (3 D)	p. 300
Thermoelastic Stress Analysis in Composite Materials (3 D)	p. 303
Thermoelastic Deformation in a Hallow Cylinder	p. 307
Reactive Transport	p. 313
Calcite dissolution and precipitation (1D)	p. 313
Cation Exchange (1D)	p. 315
Serial and Parallel Reactions (1D)	p. 316
Xylene degradation (1D)	p. 321
TCE-and cis-DCE-degradation for zero valent iron surface (1D)	p. 322
Sequential CHC degradation with isotope fractionation (1D)	p. 325
Degradation Network (1D)	p. 330
Degradation with double Monod kinetics (2D)	p. 335
Clogging simulation (2D)	p. 338
Software Engineering	p. 345
Data Processing	p. 349
Gino_OGS	p. 353
Geometric Modelling, Gridding and Visualization	p. 357
Heat Transport in a Real Fracture-Matrix System	p. 365
Bibliography	p. 375
Table of Contents provided by Ingram. All Rights Reserved.

Lecture Notes in Computational Science and Engineering

Benchmarks and Examples

At a Glance

Hardcover

Shipping

How to return your order

Defective items

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