An adaptive multimodal approach to nonlinear sloshing in a rectangular tank

By Odd M. Faltinsen, A. Timokha. Journal of Fluid Mechanics, 2001

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Two-dimensional resonant piston-like sloshing in a moonpool (2007, background): “The latter refers to the secondary resonance in the system (see the discussion of complications due to secondary resonance in sloshing problems by Faltinsen & Timokha (2001)).”
Asymptotic modal approximation of nonlinear resonant sloshing in a rectangular tank with small fluid depth (2002, methodology): “0.24 (the upper bound is estimated by Faltinsen & Timokha 2001) when both finite- and shallow-depth asymptotic theories may formally be implemented but typically disagree with experiments.”
On closures for reduced order models—A spectrum of first-principle to machine-learned avenues (2021, unknown): “Moreover, Faltinsen and Timokha 147 reported that the simple truncation of the inﬁnite sum to a ﬁnite sum r can yield either inaccurate or expensive computations.”
An improved SPH method for modeling liquid sloshing dynamics (2012, methodology): “The new SBT algorithm consists of a kernel-like, soft repulsive force between approaching fluid and solid particles, and a reliable numerical approximation scheme for estimating field functions of virtual solid particles.”
Resonant three-dimensional nonlinear sloshing in a square-base basin (2003, methodology): “As explained by Faltinsen & Timokha (2001) for two-dimensional sloshing, the discrepancy near h = h1, σ = σ1 can be corrected by accounting for secondary resonance effects.”