Applied Computational Fluid Dynamics

Garg, Vijay K.

doi:10.1201/9781482270006

Cited by 28 publications

(10 citation statements)

References 64 publications

(85 reference statements)

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“…Because of its power and flexibility in dealing with nonlinear transport problems in geometrically complex domains, the FVM is again adopted for discretization of the equations for transport of pollutants in combined regions of soil and groundwater. The derived working equations of pollutants transport are discussed briefly since the FVM as a numerical technique is a well‐established method [ Patankar , 1980; Hirsch , 1992; Versteeg and Malalasekera , 1995; Garg , 1998]. The present FVM formulation involves integration of the governing partial differential equations over a control volume and subsequent spatial and temporal discretization based on the central differencing scheme and explicit time stepping, respectively.…”

Section: Derivation Of the Working Equationsmentioning

confidence: 99%

Modeling of contaminants mobility in underground domains with multiple free/porous interfaces

Das

Nassehi

2003

Water Resources Research

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[1] Existing simulation techniques for subsurface water quality management remain inadequate despite the phenomenal progress made in the computing capabilities in the past 2 decades. One major lacunas found in mathematical models for groundwater hydrodynamics in combined free flow zones (zones that are devoid of porous materials) and porous domains (e.g., soil water regions) in the subsurface is that these models impose continuity of all flow/transport parameters to describe the flow behavior at the intermediate surfaces between the two zones. Prescription of such interfacial conditions cannot always be physically justified and, in general, result in ill-posed mathematical formulations. The present paper aims to remove the above limitations of the mathematical models by imposing well-posed mathematical formulations of mass and momentum transfer across the boundaries between free and porous zones underground for simulating subsurface flow. The possibility of the existence of a multiple number of pervious boundaries in the domain across which water may flow is considered in this work, as it represents the most realistic scenario for the subsurface transport processes. The hydrodynamics of coupled fluid flow and behavior of contaminants transport are described. Combined effects of Darcy and Reynolds numbers on the subsurface transport of contaminants are discussed. Sensitivity of the flow variables to a coefficient of the permeability and porosity of interfacial boundary, which is determined by its structural properties, is also considered.

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Section: Derivation Of the Working Equationsmentioning

confidence: 99%

Modeling of contaminants mobility in underground domains with multiple free/porous interfaces

Das

Nassehi

2003

Water Resources Research

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“…e parallel with the boat of the sun god, as shown for example on the Egyptian Papyrus of Ani, is evident ( Figure 6). 31 In summary, the Ocean is not only the firm boundary between the living and the dead but also the region where the sun does not travel; beyond lies dark Hades. e Elysion Field and Isles of Makares, on the other hand, get sunshine because they are on the near side of the Ocean.…”

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confidence: 99%

Elysion and Egypt

Marinatos,

Anderson

2010

Journal of Ancient Egyptian Interconnections

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The purpose of this paper is to present a novel synthesis of Archaic Greek cosmography and to highlight the role of the Near East—and especially Egypt—in the formation of Greek imagination about the beyond. The time span under examination is the era between the eighth and seventh centuries BCE, the so- called Orientalizing period. It will be argued that a coherent Greek cosmology was formulated at this time by Hesiod and Homer, and that this cosmology is comprehensible only by reference to a cosmic map that is reconstructed here. Further, it will be argued that Egyptian motifs concerning the afterlife were adopted by the Greeks, but that the fundamental Egyptian metaphysical philosophy that the sun revives the dead was not borrowed. Finally, it will be argued that itinerant singers transmitted the motifs during the Orientalizing period.

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“…In structured grid, each cell usually has four sides. In contrast to structured grids, an unstructured node can be related to its surrounding nodes by a connectivity matrix [74]. Unstructured grid technology allows a general computer code to be written that can handle complex geometries.…”

Section: Mesh Generationmentioning

confidence: 99%

“…Unstructured grid technology allows a general computer code to be written that can handle complex geometries. Another benefit is the ability to adaptively refine the mesh in areas that contain complex flow structures [74].…”

Section: Mesh Generationmentioning

confidence: 99%