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Application of the Fictitious Domain Method to Flow Problems with Complex Geometries.

Record Type:	Language materials, manuscript : Monograph/item
Title/Author:	Application of the Fictitious Domain Method to Flow Problems with Complex Geometries./
Author:	Chu, Hung-Chieh.
Description:	1 online resource (134 pages)
Notes:	Source: Dissertation Abstracts International, Volume: 79-02(E), Section: B.
Contained By:	Dissertation Abstracts International79-02B(E).
Subject:	Mechanical engineering. -
Online resource:	click for full text (PQDT)
ISBN:	9780355276343

Application of the Fictitious Domain Method to Flow Problems with Complex Geometries.
Chu, Hung-Chieh.

Application of the Fictitious Domain Method to Flow Problems with Complex Geometries. - 1 online resource (134 pages)

Source: Dissertation Abstracts International, Volume: 79-02(E), Section: B.

Thesis (Ph.D.)

Includes bibliographical references

In this study, in order to address the immersed boundary condition, which was the critical issue regarding the fictitious domain method, two new strategies for addressing the numerical integral related to the immersed boundary condition were introduced. In the first strategy, the constraint was set to live everywhere, but only equaled the desired values in the area outside the needed domain. As to the second strategy, a boundary region was conceptually generated to replace the immersed boundary. An additional function, k(x), was added as a weight function to validate this replacement. Both of these strategies transfer boundary integrals to domain integrals that all computations can be finished by using the mesh generated for the fictitious domain. In addition, in order to deal with large scale problems, a modified iterative algorithm was proposed.

Electronic reproduction.
Ann Arbor, Mich. :
ProQuest,
2018

Mode of access: World Wide Web

ISBN: 9780355276343Subjects--Topical Terms:

557493
Mechanical engineering.
Index Terms--Genre/Form:

554714
Electronic books.

Application of the Fictitious Domain Method to Flow Problems with Complex Geometries.
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099 $a TUL $f hyy $c available through World Wide Web
100 1 $a Chu, Hung-Chieh. $3 1183037
245 1 0 $a Application of the Fictitious Domain Method to Flow Problems with Complex Geometries.
264 0 $c 2017
300 $a 1 online resource (134 pages)
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
500 $a Source: Dissertation Abstracts International, Volume: 79-02(E), Section: B.
500 $a Advisers: Yassin A. Hassan; Wolfgang Bangerth.
502 $a Thesis (Ph.D.) $c Texas A&M University $d 2017.
504 $a Includes bibliographical references
520 $a In this study, in order to address the immersed boundary condition, which was the critical issue regarding the fictitious domain method, two new strategies for addressing the numerical integral related to the immersed boundary condition were introduced. In the first strategy, the constraint was set to live everywhere, but only equaled the desired values in the area outside the needed domain. As to the second strategy, a boundary region was conceptually generated to replace the immersed boundary. An additional function, k(x), was added as a weight function to validate this replacement. Both of these strategies transfer boundary integrals to domain integrals that all computations can be finished by using the mesh generated for the fictitious domain. In addition, in order to deal with large scale problems, a modified iterative algorithm was proposed.
520 $a Three different types of problems were studied to evaluate the capability of these two strategies. It is shown that both of these two strategies are capable of addressing problems with only one variable. However, the study of the Stokes problem indicates the second strategy is a superior choice to deal with problems with multiple variables. Finally, from the Navier-Stokes flow problem, it is concluded that the second strategy can solve large scale flow problems with complex geometries.
533 $a Electronic reproduction. $b Ann Arbor, Mich. : $c ProQuest, $d 2018
538 $a Mode of access: World Wide Web
650 4 $a Mechanical engineering. $3 557493
650 4 $a Mathematics. $3 527692
655 7 $a Electronic books. $2 local $3 554714
690 $a 0548
690 $a 0405
710 2 $a ProQuest Information and Learning Co. $3 1178819
710 2 $a Texas A&M University. $b Mechanical Engineering. $3 1180218
773 0 $t Dissertation Abstracts International $g 79-02B(E).
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=10662443 $z click for full text (PQDT)