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A Robin Robin Domain Decomposition Method for a Stokes-Darcy System with a Locally Modified Mesh.

Record Type:	Language materials, manuscript : Monograph/item
Title/Author:	A Robin Robin Domain Decomposition Method for a Stokes-Darcy System with a Locally Modified Mesh./
Author:	Wang, Zhaohui.
Description:	1 online resource (83 pages)
Notes:	Source: Dissertation Abstracts International, Volume: 78-08(E), Section: B.
Contained By:	Dissertation Abstracts International78-08B(E).
Subject:	Applied mathematics. -
Online resource:	click for full text (PQDT)
ISBN:	9781369622713

A Robin Robin Domain Decomposition Method for a Stokes-Darcy System with a Locally Modified Mesh.
Wang, Zhaohui.

A Robin Robin Domain Decomposition Method for a Stokes-Darcy System with a Locally Modified Mesh. - 1 online resource (83 pages)

Source: Dissertation Abstracts International, Volume: 78-08(E), Section: B.

Thesis (Ph.D.)

Includes bibliographical references

The coupled system of Stokes-Darcy arises in many applications of mathematical modeling, such as petroleum extraction, ground/underground water conduits and karst aquifers. In this system, the fluid flow is modeled by the Stokes equations, while the porous media flow is modeled by the Darcy's law. However, one challenge we encountered in this problem is obtaining accurate and efficient numerical solutions.

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

Mode of access: World Wide Web

ISBN: 9781369622713Subjects--Topical Terms:

1069907
Applied mathematics.
Index Terms--Genre/Form:

554714
Electronic books.

A Robin Robin Domain Decomposition Method for a Stokes-Darcy System with a Locally Modified Mesh.
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100 1 $a Wang, Zhaohui. $3 1180820
245 1 2 $a A Robin Robin Domain Decomposition Method for a Stokes-Darcy System with a Locally Modified Mesh.
264 0 $c 2016
300 $a 1 online resource (83 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: 78-08(E), Section: B.
500 $a Adviser: Zhilin Li.
502 $a Thesis (Ph.D.) $c North Carolina State University $d 2016.
504 $a Includes bibliographical references
520 $a The coupled system of Stokes-Darcy arises in many applications of mathematical modeling, such as petroleum extraction, ground/underground water conduits and karst aquifers. In this system, the fluid flow is modeled by the Stokes equations, while the porous media flow is modeled by the Darcy's law. However, one challenge we encountered in this problem is obtaining accurate and efficient numerical solutions.
520 $a In this dissertation, we first propose a new numerical method for solving this coupled system. The method is based on a Robin-Robin domain decomposition method with a locally modified Cartesian mesh. The Robin-Robin domain decomposition method (Robin- Robin DDM) provides a way to solve this system numerically. One key step is to convert the coupled equations into separate ones. Next, for a complicated geometric structure, it is expensive and difficult to build a body fitted mesh which is required by Robin-Robin DDM. Thus the method of locally modified mesh addresses this issue and provides simplicity in building a mesh and efficiency in reducing computational cost. Moreover, two types of interface conditions are considered and numerically tested.
520 $a Another numerical method we proposed is based on an augmented variable method. This method accurately computes the gradient near the boundary or the interface. It is tested on a Poisson equation with a circular interface. Our result shows that an improved accuracy of the gradient is obtained in comparison with standard approaches.
533 $a Electronic reproduction. $b Ann Arbor, Mich. : $c ProQuest, $d 2018
538 $a Mode of access: World Wide Web
650 4 $a Applied mathematics. $3 1069907
655 7 $a Electronic books. $2 local $3 554714
690 $a 0364
710 2 $a ProQuest Information and Learning Co. $3 1178819
710 2 $a North Carolina State University. $3 845424
773 0 $t Dissertation Abstracts International $g 78-08B(E).
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=10583592 $z click for full text (PQDT)