Rayleigh-Taylor instability at spherical interfaces of incompressible fluids<xref rid="cpb_27_2_025206fn1" ref-type="fn">*</xref> <fn id="cpb_27_2_025206fn1"> <label>*</label> <p>Project supported by the National Natural Science Foundation of China (Grant Nos. 11275031, 11475034, 11575033, 11574390, and 11274026) and the National Basic Research Program of China (Grant Nos. 2013CB834100 and 2013CBA01504).</p> </fn>

Rayleigh-Taylor instability at spherical interfaces of incompressible fluids* *

Project supported by the National Natural Science Foundation of China (Grant Nos. 11275031, 11475034, 11575033, 11574390, and 11274026) and the National Basic Research Program of China (Grant Nos. 2013CB834100 and 2013CBA01504).

Guo Hong-Yu^{1, 2}, Wang Li-Feng^{2, 3}, Ye Wen-Hua^{2, 3, †}, Wu Jun-Feng², Li Ying-Jun^{4, ‡}, Zhang Wei-Yan^{2, 3}

(color online) The temporal evolutions of normalized amplitudes of perturbations [panels (a) and (c)] and [panels (b) and (d)] initiated by only the inner interface perturbation and by only the outer interface perturbation for normalized thickness , respectively. Namely, , for the left column [panels (a) and (b)] and , for the right column [panels (c) and (d)]. The Atwood numbers are A₁ = 0.9 and A₂ = −0.9. The mode number is l = 3. The spherical, cylindrical, and planar results are plotted together.