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Finite volume methods and adaptive r...

George, David L.

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Finite volume methods and adaptive refinement for tsunami propagation and inundation.

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Finite volume methods and adaptive refinement for tsunami propagation and inundation./
Author:	George, David L.
Description:	207 p.
Notes:	Adviser: Randall J. LeVeque.
Contained By:	Dissertation Abstracts International67-09B.
Subject:	Geophysics. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3230755
ISBN:	9780542839238

Finite volume methods and adaptive refinement for tsunami propagation and inundation.
George, David L.

Finite volume methods and adaptive refinement for tsunami propagation and inundation. - 207 p.

Adviser: Randall J. LeVeque.

Thesis (Ph.D.)--University of Washington, 2006.

The shallow water equations are a commonly accepted governing system for tsunami propagation and inundation. In their most generally valid form, the equations are a set of hyperbolic integral conservation laws---a general class of systems for which an extensive body of numerical theory exists. In this thesis, finite volume wave propagation methods---high resolution Godunov-type methods---are extended to this form of the shallow water equations in the context of tsunami modeling. A novel approximate Riemann solver is developed in order to handle the diverse flow regimes exhibited by tsunamis. This solver provides well-balanced source term inclusion required for accurate resolution of near steady state solutions---a necessity when modeling transoceanic tsunami propagation. The solver also preserves nonnegative water depths and accurately captures discontinuities and moving shorelines, making it appropriate for inundation modeling. Adaptive refinement algorithms are extended to this application. These algorithms allow evolving sub-grids of various resolutions to move with features in the solution. Extending the adaptive algorithms to tsunami modeling requires some new interpolation and integrating strategies in order to preserve steady states. Finally, the methods are extended to solution on a sphere or idealized earth-fitted reference ellipsoids. Together, the methods developed allow modeling transoceanic tsunami propagation as well as coastal inundation in single global-scale simulations.

ISBN: 9780542839238Subjects--Topical Terms:

535228
Geophysics.

Finite volume methods and adaptive refinement for tsunami propagation and inundation.
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005 20110915
008 110915s2006 eng d
020 $a 9780542839238
035 $a (UMI)AAI3230755
035 $a AAI3230755
040 $a UMI $c UMI
100 1 $a George, David L. $3 1291266
245 1 0 $a Finite volume methods and adaptive refinement for tsunami propagation and inundation.
300 $a 207 p.
500 $a Adviser: Randall J. LeVeque.
500 $a Source: Dissertation Abstracts International, Volume: 67-09, Section: B, page: 5107.
502 $a Thesis (Ph.D.)--University of Washington, 2006.
520 $a The shallow water equations are a commonly accepted governing system for tsunami propagation and inundation. In their most generally valid form, the equations are a set of hyperbolic integral conservation laws---a general class of systems for which an extensive body of numerical theory exists. In this thesis, finite volume wave propagation methods---high resolution Godunov-type methods---are extended to this form of the shallow water equations in the context of tsunami modeling. A novel approximate Riemann solver is developed in order to handle the diverse flow regimes exhibited by tsunamis. This solver provides well-balanced source term inclusion required for accurate resolution of near steady state solutions---a necessity when modeling transoceanic tsunami propagation. The solver also preserves nonnegative water depths and accurately captures discontinuities and moving shorelines, making it appropriate for inundation modeling. Adaptive refinement algorithms are extended to this application. These algorithms allow evolving sub-grids of various resolutions to move with features in the solution. Extending the adaptive algorithms to tsunami modeling requires some new interpolation and integrating strategies in order to preserve steady states. Finally, the methods are extended to solution on a sphere or idealized earth-fitted reference ellipsoids. Together, the methods developed allow modeling transoceanic tsunami propagation as well as coastal inundation in single global-scale simulations.
590 $a School code: 0250.
650 4 $a Geophysics. $3 535228
650 4 $a Mathematics. $3 515831
690 $a 0373
690 $a 0405
710 2 0 $a University of Washington. $3 545923
773 0 $t Dissertation Abstracts International $g 67-09B.
790 $a 0250
790 1 0 $a LeVeque, Randall J., $e advisor
791 $a Ph.D.
792 $a 2006
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3230755