A discontinuous-Galerkin-based immersed boundary method with non-homogeneous boundary conditions and its application to elasticity


Autoria(s): RANGARAJAN, Ramsharan; LEW, Adrian; BUSCAGLIA, Gustavo C.
Contribuinte(s)

UNIVERSIDADE DE SÃO PAULO

Data(s)

20/10/2012

20/10/2012

2009

Resumo

We propose a discontinuous-Galerkin-based immersed boundary method for elasticity problems. The resulting numerical scheme does not require boundary fitting meshes and avoids boundary locking by switching the elements intersected by the boundary to a discontinuous Galerkin approximation. Special emphasis is placed on the construction of a method that retains an optimal convergence rate in the presence of non-homogeneous essential and natural boundary conditions. The role of each one of the approximations introduced is illustrated by analyzing an analog problem in one spatial dimension. Finally, extensive two- and three-dimensional numerical experiments on linear and nonlinear elasticity problems verify that the proposed method leads to optimal convergence rates under combinations of essential and natural boundary conditions. (C) 2009 Elsevier B.V. All rights reserved.

Stanford Graduate Fellowship

Stanford Graduate Fellowship

Department of the Army Research

Department of the Army Research[W911NF-07-2-0027]

National Institutes of Health (NIH)[U54GM072970]

U.S. National Institutes of Health (NIH)

NSF[CMMI-0747089]

U.S. National Science Foundation (NSF)

ONR

ONR[N000140810852]

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

FAPESP (Brasil)

CNPq (Brasil)

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

Identificador

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, v.198, n.17-20, p.1513-1534, 2009

0045-7825

http://producao.usp.br/handle/BDPI/28962

10.1016/j.cma.2009.01.018

http://dx.doi.org/10.1016/j.cma.2009.01.018

Idioma(s)

eng

Publicador

ELSEVIER SCIENCE SA

Relação

Computer Methods in Applied Mechanics and Engineering

Direitos

closedAccess

Copyright ELSEVIER SCIENCE SA

Palavras-Chave #Immersed boundary methods #Elasticity #Non-homogeneous boundary conditions #Discontinuous Galerkin #FINITE-ELEMENT-METHOD #NONLINEAR ELASTICITY #ADAPTIVE STABILIZATION #CURVED BOUNDARIES #LEVEL SET #FLOW #APPROXIMATIONS #MULTIPLIERS #REFINEMENT #SURFACES #Engineering, Multidisciplinary #Mathematics, Interdisciplinary Applications #Mechanics
Tipo

article

original article

publishedVersion