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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.

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	h-p adaptive methods for incompressible viscous flow problems./
作者:	Wu, Weihan Robert.
面頁冊數:	222 p.
附註:	Source: Dissertation Abstracts International, Volume: 54-04, Section: B, page: 2077.
Contained By:	Dissertation Abstracts International54-04B.
標題:	Engineering, General. -
電子資源:	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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500 $a Source: Dissertation Abstracts International, Volume: 54-04, Section: B, page: 2077.
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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.
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791 $a Ph.D.
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