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Algorithms for Multiphase Motion wit...

Elsey, Matther R.

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Algorithms for Multiphase Motion with Applications to Materials Science.

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Algorithms for Multiphase Motion with Applications to Materials Science./
作者:	Elsey, Matther R.
面頁冊數:	135 p.
附註:	Source: Dissertation Abstracts International, Volume: 72-12, Section: B, page: 7452.
Contained By:	Dissertation Abstracts International72-12B.
標題:	Applied Mathematics. -
電子資源:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3476469
ISBN:	9781124905471

Algorithms for Multiphase Motion with Applications to Materials Science.
Elsey, Matther R.

Algorithms for Multiphase Motion with Applications to Materials Science. - 135 p.

Source: Dissertation Abstracts International, Volume: 72-12, Section: B, page: 7452.

Thesis (Ph.D.)--University of Michigan, 2011.

This item must not be sold to any third party vendors.

The evolution of a collection of phases under multiphase motion by mean curvature has important applications, particularly in the modeling of microstructural development in polycrystalline materials. Models for the phenomena of grain growth and recrystallization require that the interface separating two phases moves with a normal velocity given by an affine function of the mean curvature of the interface.

ISBN: 9781124905471Subjects--Topical Terms:

1669109
Applied Mathematics.

Algorithms for Multiphase Motion with Applications to Materials Science.
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245 1 0 $a Algorithms for Multiphase Motion with Applications to Materials Science.
300 $a 135 p.
500 $a Source: Dissertation Abstracts International, Volume: 72-12, Section: B, page: 7452.
500 $a Advisers: Selim Esedoglu; Wei Lu.
502 $a Thesis (Ph.D.)--University of Michigan, 2011.
506 $a This item must not be sold to any third party vendors.
520 $a The evolution of a collection of phases under multiphase motion by mean curvature has important applications, particularly in the modeling of microstructural development in polycrystalline materials. Models for the phenomena of grain growth and recrystallization require that the interface separating two phases moves with a normal velocity given by an affine function of the mean curvature of the interface.
520 $a This work describes a class of algorithms for simulating motions of this type. These algorithms are called "distance function-based diffusion-generated motion" (DFDGM) algorithms. They are related to the threshold dynamics algorithm of Merriman, Bence, and Osher [59, 60] and also share similarities with the level sets method of Zhao et al. [96]. An idea of Almgren, Taylor, and Wang [3] is applied to allow the DFDGM algorithms to be extended to motion by weighted mean curvature, the first distance function-based diffusion-generated motion-type algorithm to simulate this motion while correctly enforcing the natural boundary conditions at triple junctions.
520 $a The DFDGM algorithms are demonstrated to be very accurate and very efficient in numerical tests. The efficiency of the algorithms allows for very large, well-resolved simulations to be performed. Large-scale simulations of isotropic grain growth and recrystallization in both two and three dimensions are presented and analyzed.
520 $a The well-resolved simulations of isotropic grain growth are the largest simulations performed to date, containing over 130,000 grains initially in three dimensions. They are shown to agree well with theoretical predictions, experimental results, and prior simulations.
520 $a The model of Srolovitz, et al. [79, 80] is used for the simulations of recrystallization. New analysis elucidating important model properties and making predictions for the type of microstructure resulting from parameter choices in the nucleation model is presented. It is shown that the DFDGM algorithm agrees with the analysis where other simulations have failed. This new analysis is also used to determine parameter choices winch result in a final microstructure consisting of many very elongated grains, unlike any simulation results previously seen.
590 $a School code: 0127.
650 4 $a Applied Mathematics. $3 1669109
650 4 $a Engineering, Materials Science. $3 1017759
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710 2 $a University of Michigan. $3 777416
773 0 $t Dissertation Abstracts International $g 72-12B.
790 $a 0127
791 $a Ph.D.
792 $a 2011
793 $a English
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3476469