2005
DOI: 10.1108/09615530510583900
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A nonlinear numerical model for sloshing motion in tuned liquid dampers

Abstract: PurposeThis paper presents a new numerical model that, unlike most existing ones, can solve the whole liquid sloshing, nonlinear, moving boundary problem with free surface undergoing small to very large deformations without imposing any linearization assumptions.Design/methodology/approachThe time‐dependent, unknown, irregular physical domain is mapped onto a rectangular computational domain. The explicit form of the mapping function is unknown and is determined as part of the solution. Temporal discretization… Show more

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Cited by 12 publications
(2 citation statements)
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“…Siddique et al 47 applied the analytical mapping technique for modeling the moving boundary. An analytical mapping function was used to transfer the irregular physical domain (deformed interface) into a rectangular computational domain.…”
Section: Introductionmentioning
confidence: 99%
“…Siddique et al 47 applied the analytical mapping technique for modeling the moving boundary. An analytical mapping function was used to transfer the irregular physical domain (deformed interface) into a rectangular computational domain.…”
Section: Introductionmentioning
confidence: 99%
“…This FSI approach with linearization of liquid conditions fails in cases of large-amplitude sloshing with steep surface slopes and breaking waves. Conversely, when the free surface nonlinearities are taken into account without the FSI effects such in Siddique et al (2005), the hydrodynamic pressures caused by the deformations of the tank are omitted. However, these hydrodynamic pressures are essential in FSI-coupled systems.…”
Section: Introductionmentioning
confidence: 99%