Finite element analysis of compressible and incompressible fluid-solid systems

被引:28
作者
Bermudez, A [1 ]
Duran, R
Rodriguez, R
机构
[1] Univ Santiago de Compostela, Dept Matemat Aplicada, Santiago De Compostela 15706, Spain
[2] Univ Buenos Aires, Fac Ciencias Exactas & Nat, Dept Matemat, RA-1428 Buenos Aires, DF, Argentina
[3] Univ Concepcion, Dipartimento Ingn Mat, Concepcion, Chile
关键词
D O I
10.1090/S0025-5718-98-00901-6
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This paper deals with a finite element method to solve interior fluid-structure vibration problems valid for compressible and incompressible fluids. It is based on a displacement formulation for both the fluid and the solid. The pressure of the fluid is also used as a variable for the theoretical analysis yielding a well posed mixed linear eigenvalue problem. Lowest order triangular Raviart-Thomas elements are used for the fluid and classical piecewise linear elements for the solid. Transmission conditions at the fluid-solid interface are taken into account in a weak sense yielding a nonconforming discretization. The method does not present spurious or circulation modes for nonzero frequencies. Convergence is proved and error estimates independent of the acoustic speed are given. For incompressible fluids, a convenient equivalent stream function formulation and a post-process to compute the pressure are introduced.
引用
收藏
页码:111 / 136
页数:26
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