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An Error Analysis of the Integral Di...

Dodoo-Amoo, David Nii Darku.

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An Error Analysis of the Integral Differential Scheme Navier-Stokes Solver.

Record Type:	Electronic resources : Monograph/item
Title/Author:	An Error Analysis of the Integral Differential Scheme Navier-Stokes Solver./
Author:	Dodoo-Amoo, David Nii Darku.
Published:	Ann Arbor : ProQuest Dissertations & Theses, : 2018,
Description:	108 p.
Notes:	Source: Dissertations Abstracts International, Volume: 79-12, Section: B.
Contained By:	Dissertations Abstracts International79-12B.
Subject:	Computational physics. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=10786260
ISBN:	9780355982657

An Error Analysis of the Integral Differential Scheme Navier-Stokes Solver.
Dodoo-Amoo, David Nii Darku.

An Error Analysis of the Integral Differential Scheme Navier-Stokes Solver. - Ann Arbor : ProQuest Dissertations & Theses, 2018 - 108 p.

Source: Dissertations Abstracts International, Volume: 79-12, Section: B.

Thesis (Ph.D.)--North Carolina Agricultural and Technical State University, 2018.

This item must not be sold to any third party vendors.

This dissertation outlines a new methodology to analyze the error associated with a developed Navier Stokes solver, called the Integral-Differential Scheme (IDS) that is based solely on an engineering approach. The Integral-Differential Scheme (IDS) was applied to a wide class of fluid dynamic problems and showed that it is able to predict the flow physics impressively [1-4]. The capability of the IDS to predict flow physics accurately can only be considered credible after a thorough analysis of its capacity to manage and control numerical errors. In this dissertation research, a set of numerical experiments were developed to quantify the errors generated by the IDS. This involved solving selective Quasi-1D fluid dynamic problems numerically using the IDS technique. One of the limitations in using the numerical experiment is the existence of a corresponding exact analytical solution to evaluate the errors. Specialized spline routines were also developed that allow the IDS solutions to be used as 'standard' solutions in the place of 'exact' solutions. The IDS 'standard' solutions were compared to the known values at specified locations within the nozzle in an effort to validate their use. Also, the evaluation process facilitated a method for appropriately quantifying the errors associated with the 'standard' solutions in comparison to the numerical solutions generated by a wide range of numerical solutions at prescribed grid levels. A series of Quasi-1D convergent-divergent nozzle problems are solved, and their error behaviors analyzed. The numerical experiments demonstrated that the IDS procedure consistently delivers spatial discretization errors of the order one on course grids and greater for fine grids. Also, the temporal discretization produces errors one order of magnitude lower than the time step for coarse grids and two orders of magnitude lower than the time step for fine grids. The error analysis also demonstrates that the IDS as a scheme is stable and consistent.

ISBN: 9780355982657Subjects--Topical Terms:

3343998
Computational physics.

An Error Analysis of the Integral Differential Scheme Navier-Stokes Solver.
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100 1 $a Dodoo-Amoo, David Nii Darku. $3 3540883
245 1 3 $a An Error Analysis of the Integral Differential Scheme Navier-Stokes Solver.
260 1 $a Ann Arbor : $b ProQuest Dissertations & Theses, $c 2018
300 $a 108 p.
500 $a Source: Dissertations Abstracts International, Volume: 79-12, Section: B.
500 $a Publisher info.: Dissertation/Thesis.
500 $a Advisor: Ferguson, Frederick.
502 $a Thesis (Ph.D.)--North Carolina Agricultural and Technical State University, 2018.
506 $a This item must not be sold to any third party vendors.
520 $a This dissertation outlines a new methodology to analyze the error associated with a developed Navier Stokes solver, called the Integral-Differential Scheme (IDS) that is based solely on an engineering approach. The Integral-Differential Scheme (IDS) was applied to a wide class of fluid dynamic problems and showed that it is able to predict the flow physics impressively [1-4]. The capability of the IDS to predict flow physics accurately can only be considered credible after a thorough analysis of its capacity to manage and control numerical errors. In this dissertation research, a set of numerical experiments were developed to quantify the errors generated by the IDS. This involved solving selective Quasi-1D fluid dynamic problems numerically using the IDS technique. One of the limitations in using the numerical experiment is the existence of a corresponding exact analytical solution to evaluate the errors. Specialized spline routines were also developed that allow the IDS solutions to be used as 'standard' solutions in the place of 'exact' solutions. The IDS 'standard' solutions were compared to the known values at specified locations within the nozzle in an effort to validate their use. Also, the evaluation process facilitated a method for appropriately quantifying the errors associated with the 'standard' solutions in comparison to the numerical solutions generated by a wide range of numerical solutions at prescribed grid levels. A series of Quasi-1D convergent-divergent nozzle problems are solved, and their error behaviors analyzed. The numerical experiments demonstrated that the IDS procedure consistently delivers spatial discretization errors of the order one on course grids and greater for fine grids. Also, the temporal discretization produces errors one order of magnitude lower than the time step for coarse grids and two orders of magnitude lower than the time step for fine grids. The error analysis also demonstrates that the IDS as a scheme is stable and consistent.
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