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A Robin Robin Domain Decomposition M...

Wang, Zhaohui.

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

Record Type:	Electronic resources : Monograph/item
Title/Author:	A Robin Robin Domain Decomposition Method for a Stokes-Darcy System with a Locally Modified Mesh./
Author:	Wang, Zhaohui.
Published:	Ann Arbor : ProQuest Dissertations & Theses, : 2016,
Description:	83 p.
Notes:	Source: Dissertation Abstracts International, Volume: 78-08(E), Section: B.
Contained By:	Dissertation Abstracts International78-08B(E).
Subject:	Applied mathematics. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=10583592
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. - Ann Arbor : ProQuest Dissertations & Theses, 2016 - 83 p.

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

Thesis (Ph.D.)--North Carolina State University, 2016.

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.

ISBN: 9781369622713Subjects--Topical Terms:

2122814
Applied mathematics.

A Robin Robin Domain Decomposition Method for a Stokes-Darcy System with a Locally Modified Mesh.
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020 $a 9781369622713
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100 1 $a Wang, Zhaohui. $3 1031085
245 1 2 $a A Robin Robin Domain Decomposition Method for a Stokes-Darcy System with a Locally Modified Mesh.
260 1 $a Ann Arbor : $b ProQuest Dissertations & Theses, $c 2016
300 $a 83 p.
500 $a Source: Dissertation Abstracts International, Volume: 78-08(E), Section: B.
500 $a Adviser: Zhilin Li.
502 $a Thesis (Ph.D.)--North Carolina State University, 2016.
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.
590 $a School code: 0155.
650 4 $a Applied mathematics. $3 2122814
690 $a 0364
710 2 $a North Carolina State University. $3 1018772
773 0 $t Dissertation Abstracts International $g 78-08B(E).
790 $a 0155
791 $a Ph.D.
792 $a 2016
793 $a English
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=10583592