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Isogeometric analysis of turbulence ...

Bazilevs, Jurijs.

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Isogeometric analysis of turbulence and fluid-structure interaction.

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Isogeometric analysis of turbulence and fluid-structure interaction./
Author:	Bazilevs, Jurijs.
Description:	182 p.
Notes:	Adviser: Thomas J. R. Hughes.
Contained By:	Dissertation Abstracts International67-12B.
Subject:	Applied Mechanics. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3246888

Isogeometric analysis of turbulence and fluid-structure interaction.
Bazilevs, Jurijs.

Isogeometric analysis of turbulence and fluid-structure interaction. - 182 p.

Adviser: Thomas J. R. Hughes.

Thesis (Ph.D.)--The University of Texas at Austin, 2006.

This work puts Isogeometric Analysis, a new analysis framework for computational engineering and sciences, on a firm mathematical foundation. FEM-like theory is developed in which optimal in h approximation properties for NURBS spaces with boundary conditions and inverse estimates are shown. This, in turn, grants straightforward extensions of the theory to stabilized formulations of incompressible and advection dominated phenomena.Subjects--Topical Terms:

1018410
Applied Mechanics.

Isogeometric analysis of turbulence and fluid-structure interaction.
LDR:02276nam 2200289 a 45 001 973210
005 20110928
008 110928s2006 eng d
035 $a (UMI)AAI3246888
035 $a AAI3246888
040 $a UMI $c UMI
100 1 $a Bazilevs, Jurijs. $3 1297166
245 1 0 $a Isogeometric analysis of turbulence and fluid-structure interaction.
300 $a 182 p.
500 $a Adviser: Thomas J. R. Hughes.
500 $a Source: Dissertation Abstracts International, Volume: 67-12, Section: B, page: 7115.
502 $a Thesis (Ph.D.)--The University of Texas at Austin, 2006.
520 $a This work puts Isogeometric Analysis, a new analysis framework for computational engineering and sciences, on a firm mathematical foundation. FEM-like theory is developed in which optimal in h approximation properties for NURBS spaces with boundary conditions and inverse estimates are shown. This, in turn, grants straightforward extensions of the theory to stabilized formulations of incompressible and advection dominated phenomena.
520 $a This work also continues the development of residual-based turbulence models for incompressible fluid flow based on the multiscale paradigm. Novel turbulent closures, inspired by wellknown stabilized methods, are derived and tested within the unsteady parallel isogeometric incompressible flow solver that was written as a part of this work.
520 $a The latter part of this dissertation focuses on the fluid-structure interaction (FSI) problem. A fully-coupled FSI formulation is proposed and a methodology for deriving shape derivative jacobian matrices is presented, allowing for a monolithic solution of the FSI system at the discrete level, and rendering the fluid and structural computations more robust. These ideas are implemented in the form of an isogeometric parallel fluid-structure interaction solver. This technology is used to perform computations of contemporary interest and importance in patient-specific vascular simulation and modeling.
590 $a School code: 0227.
650 4 $a Applied Mechanics. $3 1018410
650 4 $a Mathematics. $3 515831
690 $a 0346
690 $a 0405
710 2 0 $a The University of Texas at Austin. $3 718984
773 0 $t Dissertation Abstracts International $g 67-12B.
790 $a 0227
790 1 0 $a Hughes, Thomas J. R., $e advisor
791 $a Ph.D.
792 $a 2006
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3246888