3D simulations of a freely bouncing disc: vertical box size and resolution comparisons. Simulations were run for 50 orbits. Note that simulation FreeBounceRes32Lz12H0 (second row) is the same as our fiducial simulation (FreeBounceRes32Lz12H0-LargeBounce) in Table B1. Note that the theoretical growth rate for the |$L_z = 8H_0$| run assumes |$H \sim 1.4H_0$| which is close to the disc thickness in this run at the onset of parametric instability.
Run . | Box size . | Resolution . | Re . | zBC . | |$H(0)/H_0$| . | |$\Delta T$|/orb . | |$s/\Omega$| . | |$s_{\text{th}}/\Omega$| . |
---|---|---|---|---|---|---|---|---|
FreeBounceRes32Lz8H0 | [8,4,8] | |$32/H_0$| | 4687 | reflective | 1.76 | 0.68 | 0.075 | 0.086 |
FreeBounceRes32Lz12H0 | [8,4,12] | |$32/H_0$| | 4687 | reflective | 1.97 | 0.66 | 0.169 | 0.17 |
FreeBounceRes32Lz16H0 | [8,4,16] | |$32/H_0$| | 4687 | reflective | 1.99 | 0.66 | 0.168 | 0.17 |
FreeBounceRes64Lz12H0 | [8,4,12] | |$64/H_0$| | 4687 | reflective | 1.97 | 0.66 | 0.157 | 0.17 |
Run . | Box size . | Resolution . | Re . | zBC . | |$H(0)/H_0$| . | |$\Delta T$|/orb . | |$s/\Omega$| . | |$s_{\text{th}}/\Omega$| . |
---|---|---|---|---|---|---|---|---|
FreeBounceRes32Lz8H0 | [8,4,8] | |$32/H_0$| | 4687 | reflective | 1.76 | 0.68 | 0.075 | 0.086 |
FreeBounceRes32Lz12H0 | [8,4,12] | |$32/H_0$| | 4687 | reflective | 1.97 | 0.66 | 0.169 | 0.17 |
FreeBounceRes32Lz16H0 | [8,4,16] | |$32/H_0$| | 4687 | reflective | 1.99 | 0.66 | 0.168 | 0.17 |
FreeBounceRes64Lz12H0 | [8,4,12] | |$64/H_0$| | 4687 | reflective | 1.97 | 0.66 | 0.157 | 0.17 |
3D simulations of a freely bouncing disc: vertical box size and resolution comparisons. Simulations were run for 50 orbits. Note that simulation FreeBounceRes32Lz12H0 (second row) is the same as our fiducial simulation (FreeBounceRes32Lz12H0-LargeBounce) in Table B1. Note that the theoretical growth rate for the |$L_z = 8H_0$| run assumes |$H \sim 1.4H_0$| which is close to the disc thickness in this run at the onset of parametric instability.
Run . | Box size . | Resolution . | Re . | zBC . | |$H(0)/H_0$| . | |$\Delta T$|/orb . | |$s/\Omega$| . | |$s_{\text{th}}/\Omega$| . |
---|---|---|---|---|---|---|---|---|
FreeBounceRes32Lz8H0 | [8,4,8] | |$32/H_0$| | 4687 | reflective | 1.76 | 0.68 | 0.075 | 0.086 |
FreeBounceRes32Lz12H0 | [8,4,12] | |$32/H_0$| | 4687 | reflective | 1.97 | 0.66 | 0.169 | 0.17 |
FreeBounceRes32Lz16H0 | [8,4,16] | |$32/H_0$| | 4687 | reflective | 1.99 | 0.66 | 0.168 | 0.17 |
FreeBounceRes64Lz12H0 | [8,4,12] | |$64/H_0$| | 4687 | reflective | 1.97 | 0.66 | 0.157 | 0.17 |
Run . | Box size . | Resolution . | Re . | zBC . | |$H(0)/H_0$| . | |$\Delta T$|/orb . | |$s/\Omega$| . | |$s_{\text{th}}/\Omega$| . |
---|---|---|---|---|---|---|---|---|
FreeBounceRes32Lz8H0 | [8,4,8] | |$32/H_0$| | 4687 | reflective | 1.76 | 0.68 | 0.075 | 0.086 |
FreeBounceRes32Lz12H0 | [8,4,12] | |$32/H_0$| | 4687 | reflective | 1.97 | 0.66 | 0.169 | 0.17 |
FreeBounceRes32Lz16H0 | [8,4,16] | |$32/H_0$| | 4687 | reflective | 1.99 | 0.66 | 0.168 | 0.17 |
FreeBounceRes64Lz12H0 | [8,4,12] | |$64/H_0$| | 4687 | reflective | 1.97 | 0.66 | 0.157 | 0.17 |
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