Fig. 1. (a) Initial equilibrium density profiles in the simulations of conventional CRTI and ARTI. (b) Dependence of the initial Atwood number A_T on wave number k in the ARTI simulations.

Fig. 2. (a) Histories of the spike velocities V_s in the conventional single-mode CRTI simulations. (b) Dependence of the spike accelerations a_s on A_T in the reacceleration regime.

Fig. 3. History of the spike velocity V_s from (a) the CRTI simulations with the ARTI density profile and (b) the ARTI simulations. (c) and (d) Dependences of Vsqc on k and of a_s on k in the CRTI simulations with the ARTI density profile, the conventional CRTI simulations, and the ARTI simulations. The dashed lines in (c) are the solutions of Eq. (2) for each case.

Fig. 4. 2D vorticity ω₀ structures in the spike reacceleration regime from the single-mode CRTI simulation (with ARTI density profile) and the ARTI simulation for k = 0.78 µm⁻¹: (a) CRTI at t = 1.30 ns; (b) ARTI at t = 2.25 ns. The black regions are the high-density fluid. The black rectangular boxes indicated the areas where the volume average of the velocity shear ∂_XV_Z is measured. The volume average of ∂_XV_Z has values of ∼106.0 and ∼23.0ns−1 in (a) and (b), respectively.

Fig. 5. (a)–(c) Evolution of the normalized vorticity strength ω̂ at the bubble vertex in single-mode ARTI simulations (V_a = 3.5 µm/ns) with different initial perturbation amplitudes V_p and wave numbers k (in μm⁻¹). Ŵ=Wb−s/λ is the normalized mixing width. The purple lines represent the same fitting curve.

Fig. 6. (a) Evolution of the ratio of spike to bubble penetration depths, h_s/h_b, in single-mode ARTI simulations with different initial perturbation amplitudes V_p. (b) and (c) Comparison of 2D vorticity structures at the same mixing width W_b−s between single-mode ARTI simulations with V_p = 4.6V_a (at 1.8 ns) and 2.8V_a (at 2.2 ns), respectively. The black line shows the ablation front interface.

Fig. 7. (a) Evolution of the vorticity at the bubble vertex in single-mode ARTI simulations with different values of the ablation velocity V_a (in μm/ns). (b) Dependence of V_a on the peak value of the vorticity ω_peak. The black dot-dashed line is a fitting curve.

Fig. 8. Comparison of the evolution of the spike amplitude in conventional single-mode CRTI simulations, the present model, and Mikaelian’s model at (a) A_T = 0.9 and (b) A_T = 0.5.

Fig. 9. (a) Dependence of effective spike acceleration a_eff on A_T in the conventional CRTI and the ARTI simulations. The dashed lines represent the fitting curves. (b) Dependence of the fitting coefficient a_fit on the ablation velocity V_a (in μm/ns). The red dot-dashed line is a linear fit.

Fig. 10. Comparison of the evolution of the bubble and spike penetration depths h_b and h_s, respectively, from the single-mode ARTI simulations (with V_a = 3.5 µm/ns), the present ARTI model, and the present model using the classical forms [Eqs. (5) and (7)] in the nonlinear regime at (a) k = 0.5 µm⁻¹ and (b) k = 0.78 µm⁻¹.