Datasets:
Update README.md
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README.md
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@@ -44,13 +44,13 @@ for batch in dataloader:
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**Equation**:
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-
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\begin{align}
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\frac{ \partial p}{\partial t} + K(x, y) \left( \frac{\partial u}{\partial x} + \frac{\partial v}{\partial y} \right) &= 0 \\
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\frac{ \partial u }{\partial t} + \frac{1}{\rho(x, y)} \frac{\partial p}{\partial x} &= 0 \\
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\frac{ \partial v }{\partial t} + \frac{1}{\rho(x, y)} \frac{\partial p}{\partial v} &= 0
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\end{align}
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with \\(\rho\\) the material density, \\(u, v\\) the velocity in the \\(x, y\\) directions respectively, \\(p\\) the pressure, and \\(K\\) the bulk modulus.
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@@ -76,11 +76,11 @@ Example material densities can be seen below:
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**Simulation time-step:** Variable based on CFL with safety factor .25.
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**Data are stored separated by (\\(\Delta t\\)):** 2/101.
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**Total time range (\\(t_{min}\\) to \\(t_{max}\\)):** [0, 2]
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**Spatial domain size (\\(L_x\\), \\(L_y\\)):** [-1, 1] x [-1, 1]
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**Set of coefficients or non-dimensional parameters evaluated:**
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**Equation**:
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$$
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\begin{align}
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\frac{ \partial p}{\partial t} + K(x, y) \left( \frac{\partial u}{\partial x} + \frac{\partial v}{\partial y} \right) &= 0 \\
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\frac{ \partial u }{\partial t} + \frac{1}{\rho(x, y)} \frac{\partial p}{\partial x} &= 0 \\
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\frac{ \partial v }{\partial t} + \frac{1}{\rho(x, y)} \frac{\partial p}{\partial v} &= 0
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\end{align}
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$$
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with \\(\rho\\) the material density, \\(u, v\\) the velocity in the \\(x, y\\) directions respectively, \\(p\\) the pressure, and \\(K\\) the bulk modulus.
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**Simulation time-step:** Variable based on CFL with safety factor .25.
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+
**Data are stored separated by ( \\(\Delta t\\)):** 2/101.
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+
**Total time range ( \\(t_{min}\\) to \\(t_{max}\\)):** [0, 2]
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+
**Spatial domain size ( \\(L_x\\), \\(L_y\\)):** [-1, 1] x [-1, 1]
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**Set of coefficients or non-dimensional parameters evaluated:**
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