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Exploration of Local Force Calculati...

Thompson, Terese.

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Exploration of Local Force Calculations Using the Methods of Regularized Stokeslets.

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Exploration of Local Force Calculations Using the Methods of Regularized Stokeslets./
作者:	Thompson, Terese.
面頁冊數:	52 p.
附註:	Source: Masters Abstracts International, Volume: 55-01.
Contained By:	Masters Abstracts International55-01(E).
標題:	Applied mathematics. -
電子資源:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=1601927
ISBN:	9781339147154

Exploration of Local Force Calculations Using the Methods of Regularized Stokeslets.
Thompson, Terese.

Exploration of Local Force Calculations Using the Methods of Regularized Stokeslets. - 52 p.

Source: Masters Abstracts International, Volume: 55-01.

Thesis (M.S.)--University of California, Merced, 2015.

We analyze the performance of the Method of Regularized Stokeslets (MRS) and the Method of Auxiliary Regularized Stokeslets (MARS) in computing the forces necessary to translate a sphere with unit velocity in Stokes ?ow. In particular, we explore the dependence of local and global force calculations on various parameters associated with each method. The parameters we varied include the regularization parameter, the discretization of the sphere, and the spread and placement of the auxiliary Stokeslets (MARS only). One challenge when using the MRS is that there is no systematic way to choose the regularization parameter, and the error is sensitive to this choice. In the literature it is stated that, compared to the MRS, the MARS weakens the error dependence on the choice of regularization parameter. We found this to be true in some cases, but not in others. Speci?cally, the dependence is weakened when comparing the 1-norm of the global force error and 2-norm of the local force error. This behavior is not seen with the max-norm of the local force error. In addition, with the MARS, there is a strong dependence of error on the normalized patch length which controls the spread of the auxiliary Stokeslets. We ?nd the conditions needed to optimize the MARS method to outperform the MRS on the translating sphere problem.

ISBN: 9781339147154Subjects--Topical Terms:

2122814
Applied mathematics.

Exploration of Local Force Calculations Using the Methods of Regularized Stokeslets.
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245 1 0 $a Exploration of Local Force Calculations Using the Methods of Regularized Stokeslets.
300 $a 52 p.
500 $a Source: Masters Abstracts International, Volume: 55-01.
500 $a Adviser: Karin Leiderman.
502 $a Thesis (M.S.)--University of California, Merced, 2015.
520 $a We analyze the performance of the Method of Regularized Stokeslets (MRS) and the Method of Auxiliary Regularized Stokeslets (MARS) in computing the forces necessary to translate a sphere with unit velocity in Stokes ?ow. In particular, we explore the dependence of local and global force calculations on various parameters associated with each method. The parameters we varied include the regularization parameter, the discretization of the sphere, and the spread and placement of the auxiliary Stokeslets (MARS only). One challenge when using the MRS is that there is no systematic way to choose the regularization parameter, and the error is sensitive to this choice. In the literature it is stated that, compared to the MRS, the MARS weakens the error dependence on the choice of regularization parameter. We found this to be true in some cases, but not in others. Speci?cally, the dependence is weakened when comparing the 1-norm of the global force error and 2-norm of the local force error. This behavior is not seen with the max-norm of the local force error. In addition, with the MARS, there is a strong dependence of error on the normalized patch length which controls the spread of the auxiliary Stokeslets. We ?nd the conditions needed to optimize the MARS method to outperform the MRS on the translating sphere problem.
590 $a School code: 1660.
650 4 $a Applied mathematics. $3 2122814
690 $a 0364
710 2 $a University of California, Merced. $b Applied Mathematics. $3 2096524
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793 $a English
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=1601927