東華大學圖書館 |

Language: English

Help

回圖書館首頁

手機版館藏查詢

Back

Switch To: Labeled | MARC Mode | ISBD

Model simulation and reduction of va...

Li, Xinya.

Linked to FindBook

Google Book

Amazon

博客來

Model simulation and reduction of variable-density flow and solute transport using proper orthogonal decomposition.

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Model simulation and reduction of variable-density flow and solute transport using proper orthogonal decomposition./
Author:	Li, Xinya.
Description:	162 p.
Notes:	Source: Dissertation Abstracts International, Volume: 72-08, Section: B, page: .
Contained By:	Dissertation Abstracts International72-08B.
Subject:	Applied Mathematics. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3458748
ISBN:	9781124680514

Model simulation and reduction of variable-density flow and solute transport using proper orthogonal decomposition.
Li, Xinya.

Model simulation and reduction of variable-density flow and solute transport using proper orthogonal decomposition. - 162 p.

Source: Dissertation Abstracts International, Volume: 72-08, Section: B, page: .

Thesis (Ph.D.)--The Florida State University, 2010.

Numerical models for variable-density flow and solute transport (VDFST) are widely used to simulate seawater intrusion and related problems, including submarine groundwater discharge (SGD). The mathematical model for VDFST is a coupled nonlinear system written in state-space and time form, so the numerical discretization in time and space are usually required to be as fine as possible. As a result, such large space and time transient models are computationally very demanding, which is disadvantageous for state estimation, forward prediction or inverse calculation. The purpose of this research was to develop mathematical and numerical methods to simulate variable-density flow and salt transport via a model reduction technique called "proper orthogonal decomposition" (POD) for both linear and nonlinear models. It was showed that this method can generate representations of data that contain general information about the solution of the original partial differential equations. Data analysis using POD was conducted to extract dominant "model features" (basis functions) through singular value decomposition from experimental data or detailed simulations of high-dimensional systems (snapshots). These basis functions were then used in the Galerkin projection procedure that yielded low-dimensional reduced models. The original full numerical models were presented by the Galerkin finite-element method. The implementation of the POD reduced method was straightforward referring to the complex full model.

ISBN: 9781124680514Subjects--Topical Terms:

1669109
Applied Mathematics.

Model simulation and reduction of variable-density flow and solute transport using proper orthogonal decomposition.
LDR:02946nam 2200301 4500 001 1404462
005 20111205104808.5
008 130515s2010 ||||||||||||||||| ||eng d
020 $a 9781124680514
035 $a (UMI)AAI3458748
035 $a AAI3458748
040 $a UMI $c UMI
100 1 $a Li, Xinya. $3 1683784
245 1 0 $a Model simulation and reduction of variable-density flow and solute transport using proper orthogonal decomposition.
300 $a 162 p.
500 $a Source: Dissertation Abstracts International, Volume: 72-08, Section: B, page: .
500 $a Adviser: Bill X. Hu.
502 $a Thesis (Ph.D.)--The Florida State University, 2010.
520 $a Numerical models for variable-density flow and solute transport (VDFST) are widely used to simulate seawater intrusion and related problems, including submarine groundwater discharge (SGD). The mathematical model for VDFST is a coupled nonlinear system written in state-space and time form, so the numerical discretization in time and space are usually required to be as fine as possible. As a result, such large space and time transient models are computationally very demanding, which is disadvantageous for state estimation, forward prediction or inverse calculation. The purpose of this research was to develop mathematical and numerical methods to simulate variable-density flow and salt transport via a model reduction technique called "proper orthogonal decomposition" (POD) for both linear and nonlinear models. It was showed that this method can generate representations of data that contain general information about the solution of the original partial differential equations. Data analysis using POD was conducted to extract dominant "model features" (basis functions) through singular value decomposition from experimental data or detailed simulations of high-dimensional systems (snapshots). These basis functions were then used in the Galerkin projection procedure that yielded low-dimensional reduced models. The original full numerical models were presented by the Galerkin finite-element method. The implementation of the POD reduced method was straightforward referring to the complex full model.
520 $a The developed POD method was applied to solve two classic VDFST problems, the Henry problem and the Elder problem, to investigate the accuracy and efficiency of the POD method. The reduced model can reproduce and predict the full model results very accurately with much less computational time in comparison with the full model. It was showed that the accuracy and efficiency of the POD reduced model is mainly determined by the optimal selection of snapshots and POD bases.
590 $a School code: 0071.
650 4 $a Applied Mathematics. $3 1669109
650 4 $a Hydrology. $3 545716
650 4 $a Marine Geology. $3 1674685
690 $a 0364
690 $a 0388
690 $a 0556
710 2 $a The Florida State University. $3 1017727
773 0 $t Dissertation Abstracts International $g 72-08B.
790 1 0 $a Hu, Bill X., $e advisor
790 $a 0071
791 $a Ph.D.
792 $a 2010
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3458748