Incremental displacement-correction schemes for incompressible fluid-structure interaction

作者: Miguel A. Fernández

DOI: 10.1007/S00211-012-0481-9

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摘要: In this paper we introduce a class of incremental displacement-correction schemes for the explicit coupling thin-structure with an incompressible fluid. These methods enforce specific Robin---Neumann treatment interface coupling. We provide general stability and convergence analysis that covers both non-incremental variants. Their properties are independent added-mass effect. The superior accuracy (with respect to original variant) is highlighted by error estimates, then confirmed in benchmark numerical experiments.

参考文章(39)
Alfio Quarteroni, Luca Formaggia, Alessandro Veneziani, CARDIOVASCULAR MATHEMATICS: MODELING AND SIMULATION OF THE CIRCULATORY SYSTEM ,(2009)
Serge Piperno, Pierre-Emmanuel Bournet, Numerical simulations of wind effects on flexible civil engineering structures Revue Européenne des Eléments Finis. ,vol. 8, pp. 659- 687 ,(1999) , 10.1080/12506559.1999.10511401
Dietrich Braess, Finite Elements Cambridge University Press. ,(2007) , 10.1017/CBO9780511618635
Peter Hansbo, Nitsche's method for interface problems in computational mechanics Gamm-mitteilungen. ,vol. 28, pp. 183- 206 ,(2005) , 10.1002/GAMM.201490018
F. Brezzi, J. Pitkäranta, On the Stabilization of Finite Element Approximations of the Stokes Equations Vieweg+Teubner Verlag, Wiesbaden. pp. 11- 19 ,(1984) , 10.1007/978-3-663-14169-3_2
Alfio Quarteroni, Alberto Valli, Numerical Approximation of Partial Differential Equations Springer Series in Computational Mathematics. ,vol. 23, pp. 1- 544 ,(1994) , 10.1007/978-3-540-85268-1
Patrick Le Tallec, Saloua Mani, Numerical analysis of a linearised fluid-structure interaction problem Numerische Mathematik. ,vol. 87, pp. 317- 354 ,(2000) , 10.1007/S002110000183