國立高雄大學圖資館 |

語系: 繁體中文

說明(常見問題)

圖資館首頁

登入

回首頁

切換: 標籤 | MARC模式 | ISBD

Stabilized finite element methods fo...

Stanford University.

Stabilized finite element methods for coupled flow and geomechanics.

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Stabilized finite element methods for coupled flow and geomechanics.
作者:	White, Joshua A.
面頁冊數:	96 p.
附註:	Source: Dissertation Abstracts International, Volume: 70-10, Section: B, page: .
附註:	Adviser: Ronaldo I. Borja.
Contained By:	Dissertation Abstracts International70-10B.
標題:	Geotechnology.
電子資源:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3382958
ISBN:	9781109450446

Stabilized finite element methods for coupled flow and geomechanics.
White, Joshua A.

Stabilized finite element methods for coupled flow and geomechanics. - 96 p.

Source: Dissertation Abstracts International, Volume: 70-10, Section: B, page: .

Thesis (Ph.D.)--Stanford University, 2009.

In this work, we present a finite element formulation for variably-saturated porous geomaterials undergoing elastoplastic deformations. The deforming body is treated as a multiphase continuum, and the governing mass and momentum balance equations are solved in a fully- coupled manner. It is well-known, however, that mixed formulations of the type examined here may lead to unstable approximations unless the spaces chosen for the pressure and displacement interpolation satisfy stringent stability restrictions. Failure to choose a stable pair typically leads to spurious pressure oscillations and poor convergence behavior. Unfortunately, many seemingly natural combinations---including equal-order interpolation for all field variables---do not satisfy the necessary requirements. In this work, we propose a stabilized formulation, based on a minor modification of the variational equations, which allows one to circumvent these restrictions and employ equal-order mixed elements. Several numerical examples are used to demonstrate the computationally appealing features of this alternative formulation.

ISBN: 9781109450446Subjects--Topical Terms:

227307
Geotechnology.

Stabilized finite element methods for coupled flow and geomechanics.
LDR:03453nmm 2200313 4500 001 240319
005 20100310090847.5
008 100410s2009 ||||||||||||||||| ||eng d
020 $a 9781109450446
035 $a (UMI)AAI3382958
035 $a AAI3382958
040 $a UMI $c UMI
100 1 $a White, Joshua A. $3 384354
245 1 0 $a Stabilized finite element methods for coupled flow and geomechanics.
300 $a 96 p.
500 $a Source: Dissertation Abstracts International, Volume: 70-10, Section: B, page: .
500 $a Adviser: Ronaldo I. Borja.
502 $a Thesis (Ph.D.)--Stanford University, 2009.
520 $a In this work, we present a finite element formulation for variably-saturated porous geomaterials undergoing elastoplastic deformations. The deforming body is treated as a multiphase continuum, and the governing mass and momentum balance equations are solved in a fully- coupled manner. It is well-known, however, that mixed formulations of the type examined here may lead to unstable approximations unless the spaces chosen for the pressure and displacement interpolation satisfy stringent stability restrictions. Failure to choose a stable pair typically leads to spurious pressure oscillations and poor convergence behavior. Unfortunately, many seemingly natural combinations---including equal-order interpolation for all field variables---do not satisfy the necessary requirements. In this work, we propose a stabilized formulation, based on a minor modification of the variational equations, which allows one to circumvent these restrictions and employ equal-order mixed elements. Several numerical examples are used to demonstrate the computationally appealing features of this alternative formulation.
520 $a The resulting implicit, nonlinear algebraic systems are then solved using an inexact Newton algorithm. We discuss methods for solving the linearized systems using memory-efficient iterative solvers, both on serial and parallel computing platforms. In order to deal with inherent ill-conditioning, we propose a block-structured, multilevel preconditioner that both accelerates the convergence of the Krylov solver and exhibits excellent scaling properties as the number of unknowns and number of processors increase.
520 $a To demonstrate the effectiveness of these approaches, the analysis framework is applied to modeling hydrologically-driven slope failure. This analysis is motivated by a recent landslide that occurred at a steep experimental catchment (CB1) near Coos Bay, Oregon. Simulations are used to quantify the rainfall-induced slope deformation and assess the failure potential. Results of parametric studies suggest that for a steep hillside slope underlain by shallow bedrock similar to the CB1 site, failure would occur by a multiple slide block mechanism, with progressive failure surfaces forming at the bedrock interface and then propagating to the slope surface. A key observation is that significant computational resources are required to capture these complex solid/fluid interaction mechanisms at sufficient resolution, further justifying the use of the proposed approaches over conventional methods.
590 $a School code: 0212.
650 4 $a Geotechnology. $3 227307
650 4 $a Engineering, Civil. $3 212394
650 4 $a Engineering, Petroleum. $3 227008
690 $a 0428
690 $a 0543
690 $a 0765
710 2 $a Stanford University. $3 212607
773 0 $t Dissertation Abstracts International $g 70-10B.
790 1 0 $a Borja, Ronaldo I., $e advisor
790 $a 0212
791 $a Ph.D.
792 $a 2009
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3382958