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Titlebook: Computational Methods in Environmental Fluid Mechanics; Olaf Kolditz Textbook 2002 Springer-Verlag Berlin Heidelberg 2002 Computational Me

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1.2.0 Abbreviations, notation and units,bounds. The mathematical background of FEM is functional analysis. The FEM was introduced into the field of computational fluid dynamics (CFD) by Chung (1978), Baker (1983), Huyakorn & Pinder (1983), Diersch (1985) and others. The FEM is a more general approximation technique containing many finite difference schemes as special cases (Chapter 6).
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Porous Media from each other by surfaces referred to as interphase boundaries. Transport of components may occur within a phase and/or across interphase boundaries. Those interphasic exchange processes between adjacent phases can result from diffusive and/or advective mechanisms.
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Turbulencebove a certain Reynolds number. Below values of the so-called critical Reynolds number .. the flow is smooth and adjacent layers of fluid slide past each other in an orderly regime. This regime is called laminar flow. At Reynolds numbers larger than the critical value a complicated series of physica
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Porous Mediaich occupy the void space (Fig. 3.1). Fluids are immiscible, if a sharp interface is maintained between them. In general, a phase is defined as a part of a continuum, which is characterized by distinct material properties and by a well-defined set of thermodynamic state variables. State variables de
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Problem Classificationvatives in spatial coordinates and first order derivatives in time. Whereas time derivatives appear linearly, spatial derivatives often have a non-linear form. Frequently, systems of partial differential equations occur rather than a single equation.
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Finite Element Methoderminus -. — was introduced by Turner et al. (1956). The concept of the finite element technique consists in a subdivision of a complex structure into small substructures assembling the elements. After its initial development as an engineering tool mathematicians worked out a rigorous formal framewo
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