Graduate students' textbook covering the mathematics, numerics and software-engineering of fluid mechanics. Applications and recent research in environmental fluid mechanics is included.

Fluids, play an important role in environmental systems, appearing as surface water in rivers, lakes, and coastal regions or in the subsurface as well as in the atmosphere. Mechanics of environmental fluids is concerned with fluid motion, associated mass and heat transport in addition to deformation processes in subsurface systems. In this textbook the fundamental modelling approaches based on continuum mechanics for fluids in the environment are described, including porous media and turbulence. Numerical methods for solving the process governing equations and its object-oriented computer implementation are discussed and illustrated with examples. Finally the application of computer models in civil and environmental engineering is demonstrated.

Autorentext

Dr. Norbert Böttcher is currently working as a scientist at the Federal Institute for Geosciences and Natural Resources in Hanover, Germany. After his graduation in Water Supply Management and Engineering, Dr. Böttcher had worked at the Institute for Groundwater Management at Dresden University of Technology, Germany, as a lecturer and a research scientist. He received his PhD for developing a mathematical model for the simulation of non-isothermal, compressible multiphase flow processes within the context of subsurface CO2 storage. As a post-doc, Dr. Böttcher was employed at the Helmholtz Centre for Environmental Research - UFZ in Leipzig, Germany. His research topics include numerical simulations and model development of geotechnical applications. Dr.-Ing. Norihiro Watanabe is a postdoctoral researcher in the Department of Environmental Informatics at the Helmholtz Centre for Environmental Research - UFZ in Leipzig, Germany. He studied civil engineering and environmental science at Okayama University in Japan for his Bachelor and Master degrees, and received his doctoral degree in engineering from Dresden University of Technology in Germany. His research interest is in developing numerical models for coupled thermal-hydraulic-mechanical-chemical processes in fractured rocks for various geotechnical applications such as deep geothermal systems and underground waste disposals. Dr. Uwe-Jens Görke is currently working as a senior scientist at the Department of Environmental Informatics of the Helmholtz Centre for Environmental Research - UFZ in Leipzig, Germany. He studied Theoretical Mechanics and Applied Mathematics at the V.N. Karazin Kharkiv National University, Kharkov, Ukraine, and received his doctoral degree in Solid Mechanics from the University of Applied Sciences Zwickau, Germany. From 1996-2008 he worked at Chemnitz University of Technology. His research interests are related to numerical methods and constitutive modelling with applications in geotechnologies, particularly focused on energy-related topics, like geothermal energy, energy storage and carbon dioxide storage. Dr. Görke coordinates work packages of different national research projects and is involved in managing projects during all project stages -- from the application for funds to final reporting. Prof. Dr.-Ing. Olaf Kolditz is the head of the Department of Environmental Informatics at the Helmholtz Center for Environmental Research - UFZ. He holds a Chair in Applied Environmental System Analysis at the Technische Universität in Dresden. His research interests are related to environmental fluid mechanics, numerical methods and software engineering with applications in geotechnics, hydrology and energy storage. Olaf Kolditz is the PI of the OpenGeoSys project (www.opengeosys.org), an open-source scientific software platform for the numerical simulation of thermo-hydro-mechanical-chemical processes in porous media, in use worldwide. He studied theoretical mechanics and applied mathematics at the University of Kharkov (Ukraine) and earned his PhD in 1990 in natural sciences from the Academy of Science of the GDR in geohydrodynamics. Olaf Kolditz is Editor-in-Chief of two international journals: Geothermal Energy (open access) and Environmental Earth Sciences (ISI).

Klappentext
Fluids play an important role in environmental systems appearing as surface water in rivers, lakes, and coastal regions or in the subsurface as well as in the atmosphere. Mechanics of environmental fluids is concerned with fluid motion, associated mass and heat transport as well as deformation processes in subsurface systems. In this textbook the fundamental modelling approaches based on continuum mechanics for fluids in the environment are described, including porous media and turbulence. Numerical methods for solving the process governing equations as well as its object-oriented computer implementation are discussed and illustrated with examples. Finally the application of computer models in civil and environmental engineering is demonstrated.

Inhalt
I Continuum Mechanics.- 1 Balance Equations of Fluid Mechanics.- 2 Turbulence.- 3 Porous Media.- 4 Problem Classification.- II Numerical Methods.- 5 Numerical Methods.- 6 Finite Difference Method.- 7 Finite Element Method.- 8 Finite Volume Method.- III Software-Engineering.- 9 Object-Oriented Methods for Hydrosystem Modeling.- 10 Object-Oriented Programming Techniques.- 11 Element Implementation.- IV Selected Topics.- 12 Non-Linear Flow in Fractured Media.- 13 Heat Transport in Fractured-Porous Media.- 14 Density Dependent Flow in Porous Media.- 15 Multiphase Flow in Deformable Porous Media.