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h-p adaptive methods for incompressi...

Wu, Weihan Robert.

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h-p adaptive methods for incompressible viscous flow problems.

Record Type:	Language materials, printed : Monograph/item
Title/Author:	h-p adaptive methods for incompressible viscous flow problems./
Author:	Wu, Weihan Robert.
Description:	222 p.
Notes:	Source: Dissertation Abstracts International, Volume: 54-04, Section: B, page: 2077.
Contained By:	Dissertation Abstracts International54-04B.
Subject:	Engineering, General. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=9323597

h-p adaptive methods for incompressible viscous flow problems.
Wu, Weihan Robert.

h-p adaptive methods for incompressible viscous flow problems. - 222 p.

Source: Dissertation Abstracts International, Volume: 54-04, Section: B, page: 2077.

Thesis (Ph.D.)--The University of Texas at Austin, 1993.

The goal of h-p adaptive finite element methods is to obtain the approximate solutions as accurately and quickly as possible and, at the same time, to keep the total cost of computation under control. In this dissertation, we apply h-p adaptive finite element methods to the analysis of complex viscous flow phenomena. These techniques, which are designed to vary simultaneously the mesh size h and the spectral order p of elements, can produce very high resolution of important flow features with relatively small systems of equations and, can under appropriate conditions, deliver exponential rates of convergence. A successful h-p adaptive finite element method requires an efficient data structure, a stable incompressible flow solvers for all Reynolds numbers, a reliable a posteriori error estimates to measure the accuracy of approximate solutions, and an effective adaptive strategy to seek the best mesh. In this dissertation, we present a family of h-p adaptive finite element methods for solving the time-dependent Navier-Stokes equations in two and three dimensions. We begin by reviewing features of h-p data structure, then discuss the development of stable flow algorithms. An important development presented in this study is a mathematical proof of an a posteriori error estimate for incompressible viscous flows, and an extension of the three-step h-p adaptive strategy to incompressible flow problems. Results indicate that these types of schemes can produce excellent results for incompressible flow simulations at reasonable costs.Subjects--Topical Terms:

1020744
Engineering, General.

h-p adaptive methods for incompressible viscous flow problems.
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005 20110517
008 110517s1993 ||||||||||||||||| ||eng d
035 $a (UMI)AAI9323597
035 $a AAI9323597
040 $a UMI $c UMI
100 1 $a Wu, Weihan Robert. $3 1263980
245 1 0 $a h-p adaptive methods for incompressible viscous flow problems.
300 $a 222 p.
500 $a Source: Dissertation Abstracts International, Volume: 54-04, Section: B, page: 2077.
500 $a Supervisor: J. Tinsley Oden.
502 $a Thesis (Ph.D.)--The University of Texas at Austin, 1993.
520 $a The goal of h-p adaptive finite element methods is to obtain the approximate solutions as accurately and quickly as possible and, at the same time, to keep the total cost of computation under control. In this dissertation, we apply h-p adaptive finite element methods to the analysis of complex viscous flow phenomena. These techniques, which are designed to vary simultaneously the mesh size h and the spectral order p of elements, can produce very high resolution of important flow features with relatively small systems of equations and, can under appropriate conditions, deliver exponential rates of convergence. A successful h-p adaptive finite element method requires an efficient data structure, a stable incompressible flow solvers for all Reynolds numbers, a reliable a posteriori error estimates to measure the accuracy of approximate solutions, and an effective adaptive strategy to seek the best mesh. In this dissertation, we present a family of h-p adaptive finite element methods for solving the time-dependent Navier-Stokes equations in two and three dimensions. We begin by reviewing features of h-p data structure, then discuss the development of stable flow algorithms. An important development presented in this study is a mathematical proof of an a posteriori error estimate for incompressible viscous flows, and an extension of the three-step h-p adaptive strategy to incompressible flow problems. Results indicate that these types of schemes can produce excellent results for incompressible flow simulations at reasonable costs.
590 $a School code: 0227.
650 4 $a Engineering, General. $3 1020744
690 $a 0537
710 2 $a The University of Texas at Austin. $3 718984
773 0 $t Dissertation Abstracts International $g 54-04B.
790 $a 0227
790 1 0 $a Oden, J. Tinsley, $e advisor
791 $a Ph.D.
792 $a 1993
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=9323597