A Monolithic and a Partitioned, Reduced Basis Method for Fluid-Structure Interaction Problems

被引:13
|
作者
Nonino, Monica [1 ]
Ballarin, Francesco [2 ]
Rozza, Gianluigi [3 ]
机构
[1] Univ Vienna, Dept Math, Oskar Morgenstern Pl 1, A-1090 Vienna, Austria
[2] Univ Cattolica Sacro Cuore, Dept Math & Phys, Via Musei 41, I-25121 Brescia, Italy
[3] Int Sch Adv Studies SISSA, MathLab, Math Area, Via Bonomea 265, I-34136 Trieste, Italy
基金
奥地利科学基金会;
关键词
fluid-structure interaction; reduced basis method; proper orthogonal decomposition; monolithic approach; partitioned approach; Navier-Stokes; linear elasticity; NAVIER-STOKES EQUATIONS; FINITE-VOLUME; APPROXIMATION; MODEL; ALGORITHMS;
D O I
10.3390/fluids6060229
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
The aim of this work is to present an overview about the combination of the Reduced Basis Method (RBM) with two different approaches for Fluid-Structure Interaction (FSI) problems, namely a monolithic and a partitioned approach. We provide the details of implementation of two reduction procedures, and we then apply them to the same test case of interest. We first implement a reduction technique that is based on a monolithic procedure where we solve the fluid and the solid problems all at once. We then present another reduction technique that is based on a partitioned (or segregated) procedure: the fluid and the solid problems are solved separately and then coupled using a fixed point strategy. The toy problem that we consider is based on the Turek-Hron benchmark test case, with a fluid Reynolds number Re=100.
引用
收藏
页数:35
相关论文
共 50 条
  • [31] A partitioned fully explicit Lagrangian finite element method for highly nonlinear fluid-structure interaction problems
    Meduri, S.
    Cremonesi, M.
    Perego, U.
    Bettinotti, O.
    Kurkchubasche, A.
    Oancea, V.
    [J]. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2018, 113 (01) : 43 - 64
  • [32] Fluid-structure interaction problems
    Natroshvili, D
    Sändig, AM
    Wendland, WL
    [J]. MATHEMATICAL ASPECTS OF BOUNDARY ELEMENT METHODS: DEDICATED TO VLADIMIR MAZ'YA ON THE OCCASION OF HIS 60TH BIRTHDAY, 2000, 414 : 252 - 262
  • [33] A data exchange method for fluid-structure interaction problems
    Goura, GSL
    Badcock, KJ
    Woodgate, MA
    Richards, BE
    [J]. AERONAUTICAL JOURNAL, 2001, 105 (1046): : 215 - 221
  • [34] A Full Eulerian Method For Fluid-Structure Interaction Problems
    Sugiyama, Kazuyasu
    Ii, Satoshi
    Shimizu, Kazuya
    Noda, Shigeho
    Takagi, Shu
    [J]. 24TH INTERNATIONAL CONGRESS OF THEORETICAL AND APPLIED MECHANICS - FOUNDATION OF MULTIDISCIPLINARY RESEARCH, 2017, 20 : 159 - 166
  • [35] Partitioned solver for strongly coupled fluid-structure interaction
    Habchi, Charbel
    Russeil, Serge
    Bougeard, Daniel
    Harion, Jean-Luc
    Lemenand, Thierry
    Ghanem, Akram
    Della Valle, Dominique
    Peerhossaini, Hassan
    [J]. COMPUTERS & FLUIDS, 2013, 71 : 306 - 319
  • [36] Partitioned iterative solution methods for fluid-structure interaction
    van Brummelen, E. H.
    [J]. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, 2011, 65 (1-3) : 3 - 27
  • [37] Analysis of some partitioned algorithms for fluid-structure interaction
    Rossi, R.
    Onate, E.
    [J]. ENGINEERING COMPUTATIONS, 2010, 27 (1-2) : 20 - 56
  • [38] A partitioned numerical scheme for fluid-structure interaction with slip
    Bukac, Martina
    Canic, Suncica
    [J]. MATHEMATICAL MODELLING OF NATURAL PHENOMENA, 2021, 16
  • [39] A monolithic mixed finite element method for a fluid-structure interaction problem
    Bean, Maranda
    Yi, Son-Young
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2019, 363
  • [40] Partitioned strong coupling algorithms for fluid-structure interaction
    Matthies, HG
    Steindorf, J
    [J]. COMPUTERS & STRUCTURES, 2003, 81 (8-11) : 805 - 812