3D forced bounce simulations, in which bouncing motion was driven using a time-dependent vertical gravitational acceleration of the form |$g_{\text{eff,z}} = -\Omega ^2 z (1 + a \cos {\omega t})$|, where |$a$| is the dimensionless forcing amplitude, and |$\omega$| is the forcing frequency (in units of the local orbital angular frequency |$\Omega$|). Note that |$\Delta T$| is the interval (in orbits) between bounces measured directly from the simulation – it should correspond to the inverse of the forcing frequency. All simulations were run for 100–200 orbits, at fixed Reynolds number of |$\text{Re}=4687$|, and used reflective BCs in the vertical direction.
Run . | Box size . | Resolution . | |$H(0)/H_0$| . | |$\omega /\Omega$| . | |$a$| . | |$\Delta T$|/orb . | |$s/\Omega$| . | |$s_{\text{th}}/\Omega$| . |
---|---|---|---|---|---|---|---|---|
ForcedBounce1.0 | [4,4,12] | |$32/H_0$| | 0.9 | 1.0 | 0.1 | 1.0 | 0.012 | 0.014 |
ForcedBounce1.3 | [8,4,12] | |$32/H_0$| | 0.7 | 1.3 | 0.1 | 0.778 | 0.041 | 0.055 |
ForcedBounce1.41 | [8,4,12] | |$32/H_0$| | 0.4 | |$\sqrt{2}$| | 0.1 | 0.708 | 0.150 | 0.162 |
ForcedBounce1.6 | [15,4,12] | |$32/H_0$| | 1.2 | 1.6 | 0.1 | 0.622 | 0.033 | 0.041 |
ForcedBounce1.8 | [30,4,12] | |$32/H_0$| | 1.1 | 1.8 | 0.1 | 0.554 | 0.019 | 0.020 |
ForcedBounce2.0 | [30,4,12] | |$32/H_0$| | 1.05 | 2.0 | 0.1 | 0.5 | 0.007 | 0.011 |
Run . | Box size . | Resolution . | |$H(0)/H_0$| . | |$\omega /\Omega$| . | |$a$| . | |$\Delta T$|/orb . | |$s/\Omega$| . | |$s_{\text{th}}/\Omega$| . |
---|---|---|---|---|---|---|---|---|
ForcedBounce1.0 | [4,4,12] | |$32/H_0$| | 0.9 | 1.0 | 0.1 | 1.0 | 0.012 | 0.014 |
ForcedBounce1.3 | [8,4,12] | |$32/H_0$| | 0.7 | 1.3 | 0.1 | 0.778 | 0.041 | 0.055 |
ForcedBounce1.41 | [8,4,12] | |$32/H_0$| | 0.4 | |$\sqrt{2}$| | 0.1 | 0.708 | 0.150 | 0.162 |
ForcedBounce1.6 | [15,4,12] | |$32/H_0$| | 1.2 | 1.6 | 0.1 | 0.622 | 0.033 | 0.041 |
ForcedBounce1.8 | [30,4,12] | |$32/H_0$| | 1.1 | 1.8 | 0.1 | 0.554 | 0.019 | 0.020 |
ForcedBounce2.0 | [30,4,12] | |$32/H_0$| | 1.05 | 2.0 | 0.1 | 0.5 | 0.007 | 0.011 |
3D forced bounce simulations, in which bouncing motion was driven using a time-dependent vertical gravitational acceleration of the form |$g_{\text{eff,z}} = -\Omega ^2 z (1 + a \cos {\omega t})$|, where |$a$| is the dimensionless forcing amplitude, and |$\omega$| is the forcing frequency (in units of the local orbital angular frequency |$\Omega$|). Note that |$\Delta T$| is the interval (in orbits) between bounces measured directly from the simulation – it should correspond to the inverse of the forcing frequency. All simulations were run for 100–200 orbits, at fixed Reynolds number of |$\text{Re}=4687$|, and used reflective BCs in the vertical direction.
Run . | Box size . | Resolution . | |$H(0)/H_0$| . | |$\omega /\Omega$| . | |$a$| . | |$\Delta T$|/orb . | |$s/\Omega$| . | |$s_{\text{th}}/\Omega$| . |
---|---|---|---|---|---|---|---|---|
ForcedBounce1.0 | [4,4,12] | |$32/H_0$| | 0.9 | 1.0 | 0.1 | 1.0 | 0.012 | 0.014 |
ForcedBounce1.3 | [8,4,12] | |$32/H_0$| | 0.7 | 1.3 | 0.1 | 0.778 | 0.041 | 0.055 |
ForcedBounce1.41 | [8,4,12] | |$32/H_0$| | 0.4 | |$\sqrt{2}$| | 0.1 | 0.708 | 0.150 | 0.162 |
ForcedBounce1.6 | [15,4,12] | |$32/H_0$| | 1.2 | 1.6 | 0.1 | 0.622 | 0.033 | 0.041 |
ForcedBounce1.8 | [30,4,12] | |$32/H_0$| | 1.1 | 1.8 | 0.1 | 0.554 | 0.019 | 0.020 |
ForcedBounce2.0 | [30,4,12] | |$32/H_0$| | 1.05 | 2.0 | 0.1 | 0.5 | 0.007 | 0.011 |
Run . | Box size . | Resolution . | |$H(0)/H_0$| . | |$\omega /\Omega$| . | |$a$| . | |$\Delta T$|/orb . | |$s/\Omega$| . | |$s_{\text{th}}/\Omega$| . |
---|---|---|---|---|---|---|---|---|
ForcedBounce1.0 | [4,4,12] | |$32/H_0$| | 0.9 | 1.0 | 0.1 | 1.0 | 0.012 | 0.014 |
ForcedBounce1.3 | [8,4,12] | |$32/H_0$| | 0.7 | 1.3 | 0.1 | 0.778 | 0.041 | 0.055 |
ForcedBounce1.41 | [8,4,12] | |$32/H_0$| | 0.4 | |$\sqrt{2}$| | 0.1 | 0.708 | 0.150 | 0.162 |
ForcedBounce1.6 | [15,4,12] | |$32/H_0$| | 1.2 | 1.6 | 0.1 | 0.622 | 0.033 | 0.041 |
ForcedBounce1.8 | [30,4,12] | |$32/H_0$| | 1.1 | 1.8 | 0.1 | 0.554 | 0.019 | 0.020 |
ForcedBounce2.0 | [30,4,12] | |$32/H_0$| | 1.05 | 2.0 | 0.1 | 0.5 | 0.007 | 0.011 |
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