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update readme formatting and values
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the-rccg committed Jun 20, 2024
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Expand Up @@ -197,7 +197,7 @@ The region between the adiabatic and hydrodynamic limit is defined at `c_1=1`. F

Minimum step sizes for the system can be evaluated by setting hyper-diffusion to zero `N=0` and `nu=0` and running to about `age=200` to reach into the turbulent steady-state regime.

| integrator | `c1` | Box Size | `grid_pts` | min `dt` | converged? |
| integrator | `c1` | Box Size | `grid_pts` | max `dt` | converged? |
| ---------- | ---- | -------- | ---------- | -------- | ---------- |
| rk4 | 1.0 | 0.15 | 1024x1024 | 0.025 | True |
| rk4 | 1.0 | 0.15 | 512x512 | 0.025 | True |
Expand All @@ -211,22 +211,22 @@ However, steady-state turbulent stages are reached later for various `c1` values

For a box size of `0.15` and using an `rk4` scheme as an integrator, here are the values:

| `c1` | `grid_pts` | min `dt` | `nu` | `age` | $\Gamma_n\pm\delta\Gamma_n$ |
| `c1` | `grid_pts` | max `dt` | `nu` | `age` | $\Gamma_n\pm\delta\Gamma_n$ |
| ---- | ---------- | -------- | ----- | ----- | ------------- |
| 0.1 | 512x512 | 0.01 | 5e-09 | 200+ | 1.5 $\pm$0.2 |
| 0.25 | 512x512 | 0.01 | 5e-09 | 200+ | 1.17$\pm$0.13 |
| 0.5 | 512x512 | 0.02 | 5e-09 | 200+ | 0.89$\pm$0.09 |
| 0.75 | 512x512 | 0.025 | 5e-09 | 200+ | 0.72$\pm$0.06 |
| 0.9 | 512x512 | 0.025 | 5e-09 | 200+ | 0.65$\pm$0.05 |
| 1.0 | 512x512 | 0.025 | 5e-09 | 250+ | 0.61$\pm$0.05 |
| 1.1 | 512x512 | 0.025 | 5e-09 | 250+ | 0.58$\pm$0.04 |
| 1.25 | 512x512 | 0.025 | 5e-09 | 250+ | 0.54$\pm$0.04 |
| 1.5 | 512x512 | 0.025 | 5e-09 | 250+ | 0.46$\pm$0.04 |
| 2.0 | 512x512 | 0.025 | 5e-09 | 300+ | 0.38$\pm$0.03 |
| 2.5 | 512x512 | 0.02 | 5e-09 | 400+ | 0.31$\pm$0.03 |
| 3.0 | 512x512 | 0.02 | 5e-09 | 500+ | 0.26$\pm$0.02 |
| 4.0 | 512x512 | 0.015 | 5e-09 | 650+ | 0.18$\pm$0.02 |
| 5.0 | 512x512 | 0.01 | 5e-09 | 800+ | 0.13$\pm$0.02 |
| 0.1 | 512x512 | 0.01 | 5e-09 | 200+ | $1.51\pm0.21$ |
| 0.25 | 512x512 | 0.015 | 5e-09 | 200+ | $1.17\pm0.13$ |
| 0.5 | 512x512 | 0.02 | 5e-09 | 200+ | $0.89\pm0.09$ |
| 0.75 | 512x512 | 0.025 | 5e-09 | 200+ | $0.72\pm0.06$ |
| 0.9 | 512x512 | 0.025 | 5e-09 | 200+ | $0.65\pm0.05$ |
| 1.0 | 512x512 | 0.025 | 5e-09 | 250+ | $0.60\pm0.05$ |
| 1.1 | 512x512 | 0.025 | 5e-09 | 250+ | $0.58\pm0.04$ |
| 1.25 | 512x512 | 0.025 | 5e-09 | 250+ | $0.54\pm0.04$ |
| 1.5 | 512x512 | 0.025 | 5e-09 | 250+ | $0.46\pm0.04$ |
| 2.0 | 512x512 | 0.025 | 5e-09 | 300+ | $0.38\pm0.03$ |
| 2.5 | 512x512 | 0.02 | 5e-09 | 400+ | $0.31\pm0.03$ |
| 3.0 | 512x512 | 0.02 | 5e-09 | 500+ | $0.26\pm0.02$ |
| 4.0 | 512x512 | 0.015 | 5e-09 | 650+ | $0.18\pm0.02$ |
| 5.0 | 512x512 | 0.01 | 5e-09 | 800+ | $0.13\pm0.02$ |


## Reference Timetraces
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