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Image-based numerical simulation of ...

Erdmann, Robert Gerald.

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Image-based numerical simulation of Stokes flow in porous media.

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Image-based numerical simulation of Stokes flow in porous media./
Author:	Erdmann, Robert Gerald.
Description:	255 p.
Notes:	Adviser: David R. Poirier.
Contained By:	Dissertation Abstracts International67-02B.
Subject:	Engineering, Materials Science. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3208055
ISBN:	9780542560781

Image-based numerical simulation of Stokes flow in porous media.
Erdmann, Robert Gerald.

Image-based numerical simulation of Stokes flow in porous media. - 255 p.

Adviser: David R. Poirier.

Thesis (Ph.D.)--The University of Arizona, 2006.

Numerical models for the simulation of longitudinal and transverse Stokes flow in cylindrical periodic porous media are presented. The models, which are based on a finite-volume formulation in primitive variables, utilize digital image representations of the geometries to simulate, making them particularly well-suited for the rapid automated analysis of creeping flow in porous media with complex morphologies. Complete details of the model formulations are given, including extensive treatment of the pressure boundary conditions at the solid-liquid interface needed to guarantee convergence with all possible geometries. The convergence behavior of both models is tested, and the models are shown to be second-order accurate.

ISBN: 9780542560781Subjects--Topical Terms:

1017759
Engineering, Materials Science.

Image-based numerical simulation of Stokes flow in porous media.
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020 $a 9780542560781
035 $a (UMI)AAI3208055
035 $a AAI3208055
040 $a UMI $c UMI
100 1 $a Erdmann, Robert Gerald. $3 1264021
245 1 0 $a Image-based numerical simulation of Stokes flow in porous media.
300 $a 255 p.
500 $a Adviser: David R. Poirier.
500 $a Source: Dissertation Abstracts International, Volume: 67-02, Section: B, page: 1090.
502 $a Thesis (Ph.D.)--The University of Arizona, 2006.
520 $a Numerical models for the simulation of longitudinal and transverse Stokes flow in cylindrical periodic porous media are presented. The models, which are based on a finite-volume formulation in primitive variables, utilize digital image representations of the geometries to simulate, making them particularly well-suited for the rapid automated analysis of creeping flow in porous media with complex morphologies. Complete details of the model formulations are given, including extensive treatment of the pressure boundary conditions at the solid-liquid interface needed to guarantee convergence with all possible geometries. The convergence behavior of both models is tested, and the models are shown to be second-order accurate.
520 $a The models are used to simulate flow over the whole range of volume fractions of liquid in several regular geometries. The longitudinal model is used to simulate flow in square arrays of circular and square ducts, and both models are used to simulate flow in square and hexagonal arrays of circular cylinders and square arrays of square cylinders rotated by varying amounts. For each of the geometries, accurate empirical expressions for the Darcy permeability as a function of volume fraction solid are presented. Where applicable, model predictions of permeability are compared to existing analytical results.
520 $a Subsequently, the models are used to simulate Stokes flow in random domains over a wide range of fractions liquid. The sequential random packing algorithm is used to generate 1000 random packings of circular cylinders at each of 14 fractions of liquid, and longitudinal and transverse flow simulations are performed for each geometry. Histograms and summary statistics are computed for the permeability for each fraction liquid, and empirical expressions for mean permeability as a function of fraction liquid are given. The autocorrelation structure of the geometry and of the fluid velocity is analyzed, and an analysis of the scaling of longitudinal permeability variance is presented. In transverse flow at high packing densities, it is found that lightning-like patterns emerge in the fluid velocity. It is also found that the details of flows in such geometries are strongly sensitive to the placement of individual solid obstacles.
590 $a School code: 0009.
650 4 $a Engineering, Materials Science. $3 1017759
650 4 $a Physics, Fluid and Plasma. $3 1018402
690 $a 0759
690 $a 0794
710 2 $a The University of Arizona. $3 1017508
773 0 $t Dissertation Abstracts International $g 67-02B.
790 $a 0009
790 1 0 $a Poirier, David R., $e advisor
791 $a Ph.D.
792 $a 2006
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3208055