Jog, CS and Pal, RK (2011) A monolithic strategy for fluid-structure interaction problems. In: International Journal for Numerical Methods in Engineering, 85 (4). pp. 429-460.
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In this work, we present a new monolithic strategy for solving fluid-structure interaction problems involving incompressible fluids, within the context of the finite element method. This strategy, similar to the continuum dynamics, conserves certain properties, and thus provides a rational basis for the design of the time-stepping strategy; detailed proofs of the conservation of these properties are provided. The proposed algorithm works with displacement and velocity variables for the structure and fluid, respectively, and introduces no new variables to enforce velocity or traction continuity. Any existing structural dynamics algorithm can be used without change in the proposed method. Use of the exact tangent stiffness matrix ensures that the algorithm converges quadratically within each time step. An analytical solution is presented for one of the benchmark problems used in the literature, namely, the piston problem. A number of benchmark problems including problems involving free surfaces such as sloshing and the breaking dam problem are used to demonstrate the good performance of the proposed method. Copyright (C) 2010 John Wiley & Sons, Ltd.
|Item Type:||Journal Article|
|Additional Information:||Copyright of this article belongs to John Wiley and Sons.|
|Keywords:||fluid-structure interaction; monolithic scheme|
|Department/Centre:||Division of Mechanical Sciences > Mechanical Engineering|
|Date Deposited:||22 Feb 2011 06:48|
|Last Modified:||22 Feb 2011 06:48|
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