Relaxation of capillary-gravity waves due to contact line nonlinearity: A projection method

被引:9
作者
Bongarzone, Alessandro [1 ]
Viola, Francesco [2 ]
Gallaire, Francois [1 ]
机构
[1] Ecole Polytech Fed Lausanne, Lab Fluid Mech & Instabil, CH-1015 Lausanne, Switzerland
[2] Gran Sasso Sci Inst, Viale F Crispi 7, I-67100 Laquila, Italy
关键词
NORMAL-MODES; SURFACE; DYNAMICS; HYSTERESIS; VIBRATION; INTERFACE; LIQUIDS; PLATE;
D O I
10.1063/5.0055898
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We present a physics-inspired mathematical model based on successive linear eigenmode projections to solve the relaxation of small-amplitude and two-dimensional viscous capillary-gravity waves with a phenomenological nonlinear contact line model. We show that each projection eventually induces a rapid loss of total energy in the liquid motion and contributes to its nonlinear damping.
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页数:15
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