Liquid Sloshing Dynamics: Theory and Applications

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An improved SPH method for modeling liquid sloshing dynamics (2012, background): “…b, G.R. Liu c, M.B. Liu a,⇑ a LHO, Institute of Mechanics, Chinese Academy of Sciences, Beijing 100190, China b School of Information and Electronics, Beijing Institute of Technology, Beijing 100081, China c Aerospace Systems, University of Cincinnati, Cincinnati, OH 45221-0070, USA a r t i c l e…”
A numerical study of three-dimensional liquid sloshing in tanks (2008, background): “The vector form of fi is as follows [18]: f 1⁄4 g dV dt d _ h dt ðr RÞ 2 _ h dðr RÞ dt _ h 1⁄2 _ h ðr RÞ ; ð4Þ where g is the gravitational acceleration; V and _ h are the translational and rotational velocity of the non-inertial frame, respectively; r and R are the position vector of the considered”
Eigenvalue inequalities for mixed Steklov problems (2009, background): ““ice ﬁshing problem” described in section 2.4. 1.3. Discussion. The eigenvalue problem (1.1.1) has important applications to hydrodynamics and is also known as the sloshing problem (see, for example, [14] and references therein). For d= 3, it models free ﬂuid oscillations in a container W with botto”