Datasets:
Update README.md
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README.md
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@@ -47,13 +47,14 @@ for batch in dataloader:
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**Code or software used to generate the data**: Fortran + MPI.
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**Equation**:
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\begin{align}
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\frac{\partial \rho}{\partial t} + \nabla \cdot (\rho \mathbf{v}) &= 0 \nonumber\\
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\frac{\partial \rho \mathbf{v}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \mathbf{v} - \mathbf{B} \mathbf{B}) + \nabla p &= 0 \nonumber\\
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\frac{\partial \mathbf{B}}{\partial t} - \nabla \times (\mathbf{v} \times \mathbf{B}) &= 0 \nonumber\\
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\end{align}
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where \\(\rho\\) is the density, \\(\mathbf{v}\\) is the velocity, \\(\mathbf{B}\\) is the magnetic field, \\(\mathbf{I}\\) the identity matrix and \\(p\\) is the gas pressure.
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![Gif](https://users.flatironinstitute.org/~polymathic/data/the_well/datasets/MHD_64/gif/density_unnormalized.gif)
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@@ -80,11 +81,11 @@ Table: VRMSE metrics on test sets (lower is better). Best results are shown in b
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**Boundary conditions:** periodic boundary conditions.
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**Data are stored separated by (\\(\Delta t\\)):** 0.01 (arbitrary units).
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**Total time range (\\(t\_{min}\\) to \\(t\_{max}\\)):** \\(t\_{min} = 0\\), \\(t\_{max} = 1\\).
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**Spatial domain size (\\(L_x\\), \\(L_y\\), \\(L_z\\)):** dimensionless so 64 pixels.
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**Set of coefficients or non-dimensional parameters evaluated:** all combinations of \\(\mathcal{M}_s=\\){0.5, 0.7, 1.5, 2.0 7.0} and \\(\mathcal{M}_A =\\){0.7, 2.0}.
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**Code or software used to generate the data**: Fortran + MPI.
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**Equation**:
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$$
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\begin{align}
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\frac{\partial \rho}{\partial t} + \nabla \cdot (\rho \mathbf{v}) &= 0 \nonumber\\
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\frac{\partial \rho \mathbf{v}}{\partial t} + \nabla \cdot (\rho \mathbf{v} \mathbf{v} - \mathbf{B} \mathbf{B}) + \nabla p &= 0 \nonumber\\
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\frac{\partial \mathbf{B}}{\partial t} - \nabla \times (\mathbf{v} \times \mathbf{B}) &= 0 \nonumber\\
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\end{align}
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$$
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where \\(\rho\\) is the density, \\(\mathbf{v}\\) is the velocity, \\(\mathbf{B}\\) is the magnetic field, \\(\mathbf{I}\\) the identity matrix and \\(p\\) is the gas pressure.
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![Gif](https://users.flatironinstitute.org/~polymathic/data/the_well/datasets/MHD_64/gif/density_unnormalized.gif)
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**Boundary conditions:** periodic boundary conditions.
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+
**Data are stored separated by ( \\(\Delta t\\)):** 0.01 (arbitrary units).
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+
**Total time range ( \\(t\_{min}\\) to \\(t\_{max}\\)):** \\(t\_{min} = 0\\), \\(t\_{max} = 1\\).
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+
**Spatial domain size ( \\(L_x\\), \\(L_y\\), \\(L_z\\)):** dimensionless so 64 pixels.
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**Set of coefficients or non-dimensional parameters evaluated:** all combinations of \\(\mathcal{M}_s=\\){0.5, 0.7, 1.5, 2.0 7.0} and \\(\mathcal{M}_A =\\){0.7, 2.0}.
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