Numerical simulation of fluid–structure interaction problems with hyperelastic models: A monolithic approach
Ulrich Langer and
Huidong Yang
Mathematics and Computers in Simulation (MATCOM), 2018, vol. 145, issue C, 186-208
Abstract:
In this paper, we consider a monolithic approach to handle coupled fluid–structure interaction problems with different hyperelastic models in an all-at-once manner. We apply Newton’s method in the outer iteration dealing with nonlinearities of the coupled system. We discuss preconditioned Krylov sub-space, algebraic multigrid and algebraic multilevel methods for solving the linearized algebraic equations. Finally, we compare the results of the monolithic approach with those of the corresponding partitioned approach that was studied in our previous work.
Keywords: Fluid–structure interaction; Hyperelastic models; Monolithic approach; Algebraic multigrid method; Algebraic multilevel method (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (3)
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:145:y:2018:i:c:p:186-208
DOI: 10.1016/j.matcom.2016.07.008
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