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A higher-order upwind method for vis...

Nonaka, Andrew Jeffrey Tadao.

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A higher-order upwind method for viscoelastic flow.

Record Type:	Language materials, printed : Monograph/item
Title/Author:	A higher-order upwind method for viscoelastic flow./
Author:	Nonaka, Andrew Jeffrey Tadao.
Description:	144 p.
Notes:	Source: Dissertation Abstracts International, Volume: 68-09, Section: B, page: 6055.
Contained By:	Dissertation Abstracts International68-09B.
Subject:	Applied Mechanics. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3283012
ISBN:	9780549252986

A higher-order upwind method for viscoelastic flow.
Nonaka, Andrew Jeffrey Tadao.

A higher-order upwind method for viscoelastic flow. - 144 p.

Source: Dissertation Abstracts International, Volume: 68-09, Section: B, page: 6055.

Thesis (Ph.D.)--University of California, Davis, 2007.

A conservative finite difference method designed to capture elastic wave propagation in viscoelastic fluids in two space dimensions is presented. The governing equations are the incompressible Navier-Stokes equations coupled to the Oldroyd-B constitutive equations for viscoelastic stress. The equations are cast into a hybrid conservation form to make use of a second-order upwind method to treat the hyperbolic part of the equations. The hyperbolic step also utilizes a new exact and efficient Riemann solver. A numerical stress splitting technique provides a well-posed discretization for the entire range of Newtonian and elastic fluids. Incompressibility is enforced through both a projection method and a special partitioning of variables which suppresses compressive waves in the hyperbolic step. An embedded boundary approach for irregular geometry is employed, in which regular Cartesian cells are cut into irregular control volumes, requiring special discretization stencils. The resulting method is second-order accurate in L1 for smooth geometries for a range of Oldroyd-B fluids.

ISBN: 9780549252986Subjects--Topical Terms:

1018410
Applied Mechanics.

A higher-order upwind method for viscoelastic flow.
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020 $a 9780549252986
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100 1 $a Nonaka, Andrew Jeffrey Tadao. $3 1281825
245 1 2 $a A higher-order upwind method for viscoelastic flow.
300 $a 144 p.
500 $a Source: Dissertation Abstracts International, Volume: 68-09, Section: B, page: 6055.
502 $a Thesis (Ph.D.)--University of California, Davis, 2007.
520 $a A conservative finite difference method designed to capture elastic wave propagation in viscoelastic fluids in two space dimensions is presented. The governing equations are the incompressible Navier-Stokes equations coupled to the Oldroyd-B constitutive equations for viscoelastic stress. The equations are cast into a hybrid conservation form to make use of a second-order upwind method to treat the hyperbolic part of the equations. The hyperbolic step also utilizes a new exact and efficient Riemann solver. A numerical stress splitting technique provides a well-posed discretization for the entire range of Newtonian and elastic fluids. Incompressibility is enforced through both a projection method and a special partitioning of variables which suppresses compressive waves in the hyperbolic step. An embedded boundary approach for irregular geometry is employed, in which regular Cartesian cells are cut into irregular control volumes, requiring special discretization stencils. The resulting method is second-order accurate in L1 for smooth geometries for a range of Oldroyd-B fluids.
590 $a School code: 0029.
650 4 $a Applied Mechanics. $3 1018410
650 4 $a Physics, Fluid and Plasma. $3 1018402
690 $a 0346
690 $a 0759
710 2 $a University of California, Davis. $3 1018682
773 0 $t Dissertation Abstracts International $g 68-09B.
790 $a 0029
791 $a Ph.D.
792 $a 2007
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3283012