A discontinuous-Galerkin-based immersed boundary method
| Contribuinte(s) |
UNIVERSIDADE DE SÃO PAULO |
|---|---|
| Data(s) |
20/10/2012
20/10/2012
2008
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| Resumo |
A numerical method to approximate partial differential equations on meshes that do not conform to the domain boundaries is introduced. The proposed method is conceptually simple and free of user-defined parameters. Starting with a conforming finite element mesh, the key ingredient is to switch those elements intersected by the Dirichlet boundary to a discontinuous-Galerkin approximation and impose the Dirichlet boundary conditions strongly. By virtue of relaxing the continuity constraint at those elements. boundary locking is avoided and optimal-order convergence is achieved. This is shown through numerical experiments in reaction-diffusion problems. Copyright (c) 2008 John Wiley & Sons, Ltd. PICT[2005-33840] PICT NIH[U54 GM072970] U.S. National Institutes of Health (NIH) |
| Identificador |
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, v.76, n.4, p.427-454, 2008 0029-5981 http://producao.usp.br/handle/BDPI/28967 10.1002/nme.2312 |
| Idioma(s) |
eng |
| Publicador |
JOHN WILEY & SONS LTD |
| Relação |
International Journal for Numerical Methods in Engineering |
| Direitos |
restrictedAccess Copyright JOHN WILEY & SONS LTD |
| Palavras-Chave | #immersed boundary #interfaces #immersed finite element method #boundary locking #discontinuous-Galerkin method #Cartesian grids #Dirichlet conditions #FINITE-ELEMENT-METHOD #NAVIER-STOKES EQUATIONS #LEVEL SET METHODS #REACTION-DIFFUSION PROBLEMS #FICTITIOUS DOMAIN METHOD #BABUSKA-BREZZI CONDITION #FRONT-TRACKING METHOD #INTERFACE METHOD #NUMERICAL APPROXIMATION #LAGRANGE MULTIPLIERS #Engineering, Multidisciplinary #Mathematics, Interdisciplinary Applications |
| Tipo |
article original article publishedVersion |
