Second-Order Pure Lagrange-Galerkin Methods for Fluid-Structure Interaction Problems
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Second-Order Pure Lagrange-Galerkin Methods for Fluid-Structure Interaction ProblemsData
2015-09-30Cita bibliográfica
Benítez, M., & Bermúdez, A. (2015). Second-Order Pure Lagrange-Galerkin Methods for Fluid-Structure Interaction Problems. SIAM Journal on Scientific Computing, 37(5), B744-B777. https://doi.org/10.1137/141001081
Resumo
[Abstract]: In this paper we propose a second order (both in time and in space) pure Lagrange-Galerkin method for
the numerical solution of fluid-structure interaction problems. The proposed scheme is written in material coordinates and
in terms of displacements in the structure and of displacements and pressures in the fluid. Pure-Lagrangian displace-ment
methods are useful for solving free surface problems and fluid-structure interaction problems because the computatio-nal
domain is independent of time and fluid-structure coupling at the interphase is straightforward. Unfortunately, for moderate
to high-Reynolds number flows, pure-Lagrangian methods can lead to high distortion of the mesh elements and as a
consequence non-accurate approximations can be obtained. Before this happens it is necessary to re-mesh and re-initialize
the motion. In the present paper we also deal with this problem by proposing a method to be combined with the pure
Lagrange-Galerkin method we introduce that preserves the order. In order to assess the performance of the overall numerical
method, we solve different problems in two space dimensions. In particular, numerical results for the two-dimensional motion
of an elastic circular cylinder in a fluid and a sloshing problem with an elastic submerged cylinder in a rectangular tank are
presented.
Palabras chave
Fluid-structure interaction problems
Navier-Stokes equations
Linear elasticity
Lagrange-Galerkin methods
Second-order schemes
Pure-Lagrangian methods
Semi-Lagrangian methods
Navier-Stokes equations
Linear elasticity
Lagrange-Galerkin methods
Second-order schemes
Pure-Lagrangian methods
Semi-Lagrangian methods
Descrición
This version of the article has been accepted for publication, after peer
review, but is not the Version of Record and does not reflect post-acceptance
improvements, or any corrections. The Version of Record is available online
at: https://doi.org/10.1137/141001081
Versión do editor
Dereitos
This manuscript version is made available under the CC-BY 4.0 International
license
https://creativecommons.org/licenses/by/4.0/
ISSN
1064-8275
1095-7197 (E-issn)
1095-7197 (E-issn)