A nonconforming finite element method for fluid–structure interaction problems
In this paper, we develop a nonconforming finite element methodology using a three-field formulation to analyze a fluid–structure interaction problem. The methodology is used to couple a Lagrangian model describing the structure with the arbitrary Lagrangian–Eulerian strategy used to describe the fl...
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| Vydáno v: | Computer methods in applied mechanics and engineering Ročník 195; číslo 17; s. 2088 - 2099 |
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| Médium: | Journal Article |
| Jazyk: | angličtina |
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Elsevier B.V
01.03.2006
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| ISSN: | 0045-7825, 1879-2138 |
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| Abstract | In this paper, we develop a nonconforming finite element methodology using a
three-field formulation to analyze a fluid–structure interaction problem. The methodology is used to couple a Lagrangian model describing the structure with the arbitrary Lagrangian–Eulerian strategy used to describe the fluid in order to simulate a full unsteady physical phenomenon. Consistency error estimates are obtained which show that the numerical scheme employed yields a first order approximation for the solution to the fluid–structure interaction problem. Finally, we present a discrete energy estimate to demonstrate the stablity of the proposed method. |
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| AbstractList | In this paper, we develop a nonconforming finite element methodology using a
three-field formulation to analyze a fluid–structure interaction problem. The methodology is used to couple a Lagrangian model describing the structure with the arbitrary Lagrangian–Eulerian strategy used to describe the fluid in order to simulate a full unsteady physical phenomenon. Consistency error estimates are obtained which show that the numerical scheme employed yields a first order approximation for the solution to the fluid–structure interaction problem. Finally, we present a discrete energy estimate to demonstrate the stablity of the proposed method. In this paper, we develop a nonconforming finite element methodology using a three-field formulation to analyze a fluid-structure interaction problem. The methodology is used to couple a Lagrangian model describing the structure with the arbitrary Lagrangian-Eulerian strategy used to describe the fluid in order to simulate a full unsteady physical phenomenon. Consistency error estimates are obtained which show that the numerical scheme employed yields a first order approximation for the solution to the fluid-structure interaction problem. Finally, we present a discrete energy estimate to demonstrate the stablity of the proposed method. |
| Author | Swim, E.W. Seshaiyer, P. |
| Author_xml | – sequence: 1 givenname: E.W. surname: Swim fullname: Swim, E.W. email: edward.w.swim@ttu.edu – sequence: 2 givenname: P. surname: Seshaiyer fullname: Seshaiyer, P. email: padmanabhan.seshaiyer@ttu.edu |
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| CitedBy_id | crossref_primary_10_1016_j_jcp_2014_05_020 crossref_primary_10_1007_s00021_021_00598_8 crossref_primary_10_1016_j_cma_2008_07_010 crossref_primary_10_1016_j_procs_2012_04_066 crossref_primary_10_1016_j_cma_2008_01_017 crossref_primary_10_1155_2015_253179 crossref_primary_10_1017_S0962492917000046 crossref_primary_10_1260_1748_3018_4_3_291 crossref_primary_10_3390_fluids6060213 crossref_primary_10_1002_cnm_3447 crossref_primary_10_1016_j_compfluid_2015_06_002 crossref_primary_10_1002_cnm_2813 crossref_primary_10_1002_fld_1931 crossref_primary_10_1007_BF03322593 crossref_primary_10_3390_bioengineering6030077 crossref_primary_10_1016_j_jfluidstructs_2011_08_010 crossref_primary_10_3390_bioengineering12030279 crossref_primary_10_1016_j_compfluid_2013_07_031 crossref_primary_10_1016_j_compfluid_2018_11_004 crossref_primary_10_1016_j_cma_2015_09_014 |
| Cites_doi | 10.1016/S0898-1221(03)90087-3 10.1090/conm/180/1985 10.1051/m2an:2000158 10.1016/S0045-7825(99)00414-4 10.1007/978-94-011-1810-1_17 10.1007/BFb0095345 10.2514/6.1990-3053 10.2514/6.1989-115 10.1016/S0045-7825(99)00232-7 10.1016/0045-7825(82)90128-1 10.1016/0045-7825(81)90049-9 10.1090/S0025-5718-99-01083-2 10.1007/s002110050468 10.1142/S0218202501001367 10.1016/0045-7825(89)90129-1 10.1016/S0096-3003(02)00170-4 10.2514/6.1988-317 |
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| Keywords | Finite elements Arbitrary Lagrangian–Eulerian Fluid–structure interaction Nonconforming Three-field |
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three-field formulation to analyze a fluid–structure interaction problem. The... In this paper, we develop a nonconforming finite element methodology using a three-field formulation to analyze a fluid-structure interaction problem. The... |
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