Datasets:
final push
Browse files- README.md +42 -24
- data_vis.ipynb +0 -0
- fsi_reader.py +3 -3
README.md
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- Fluid-Dynamics
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---
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## Dataset Description: Fluid-Solid Interaction Simulations
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### **Velocity**
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\mathbf{v}_t = \begin{bmatrix} v_{x,t} \\ v_{y,t} \end{bmatrix}
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where
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### **Pressure**
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P_t
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which represents the pressure field at time
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### **Displacement**
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\mathbf{d}_t = \begin{bmatrix} d_{x,t} \\ d_{y,t} \end{bmatrix}
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where
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---
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## **Mesh Representation**
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The initial mesh is given by:
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\mathbf{M}_0 = \begin{bmatrix} x_1 & y_1 \\ x_2 & y_2 \\ \vdots & \vdots \\ x_N & y_N \end{bmatrix} \in \mathbb{R}^{N \times 2}
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where each row
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Since the mesh is time-dependent, the mesh at time
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\mathbf{M}_t = \mathbf{M}_0 + \mathbf{d}_t
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where
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\mathbf{d}_t = \begin{bmatrix} d_{x,t,1} & d_{y,t,1} \\ d_{x,t,2} & d_{y,t,2} \\ \vdots & \vdots \\ d_{x,t,N} & d_{y,t,N} \end{bmatrix} \in \mathbb{R}^{N \times 2}
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is the displacement field at time
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Thus, the updated coordinates of the mesh points at time
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(x_i^t, y_i^t) = (x_i^0 + d_{x,t,i}, y_i^0 + d_{y,t,i}) \quad \forall i = 1, \dots, N
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This formulation describes how the mesh deforms over time due to displacement.
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- Fluid-Dynamics
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---
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## Dataset Description: Fluid-Solid Interaction Simulations (fsi-data)
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Simulation of fluide dynamics (Navier-Stocks) and Elastic wave equation. Here wwe simulate the flow of water around an elastic rod.
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For each time step $ t $, the simulation records the following variables:
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### **Velocity**
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$
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\mathbf{v}_t = \begin{bmatrix} v_{x,t} \\ v_{y,t} \end{bmatrix}
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$
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where $ v_{x,t} $ and $ v_{y,t} $ are the velocity components in the $ x $ and $ y $ directions, respectively.
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### **Pressure**
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$
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P_t
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$
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which represents the pressure field at time $ t $.
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### **Displacement (Elastic Wave Part)**
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$
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\mathbf{d}_t = \begin{bmatrix} d_{x,t} \\ d_{y,t} \end{bmatrix}
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$
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where $ d_{x,t} $ and $ d_{y,t} $ denote the displacement in the $ x $ and $ y $ directions, respectively. This displacement represents the displacemen of the elastic object as well as the change on the mesh location.
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---
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## **Mesh Representation**
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The initial mesh is given by:
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$
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\mathbf{M}_0 = \begin{bmatrix} x_1 & y_1 \\ x_2 & y_2 \\ \vdots & \vdots \\ x_N & y_N \end{bmatrix} \in \mathbb{R}^{N \times 2}
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$
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where each row $ (x_i, y_i) $ represents a mesh point in 2D space.
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Since the mesh is time-dependent, the mesh at time $ t $ is updated based on displacement:
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$
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\mathbf{M}_t = \mathbf{M}_0 + \mathbf{d}_t
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$
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where
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$
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\mathbf{d}_t = \begin{bmatrix} d_{x,t,1} & d_{y,t,1} \\ d_{x,t,2} & d_{y,t,2} \\ \vdots & \vdots \\ d_{x,t,N} & d_{y,t,N} \end{bmatrix} \in \mathbb{R}^{N \times 2}
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$
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is the displacement field at time $ t $.
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Thus, the updated coordinates of the mesh points at time $ t $ are:
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$
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(x_i^t, y_i^t) = (x_i^0 + d_{x,t,i}, y_i^0 + d_{y,t,i}) \quad \forall i = 1, \dots, N
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$
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This formulation describes how the mesh deforms over time due to displacement.
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## Dataset Description: Computational Fluid Dynamics (cfd-data)
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This dataset has the same structure as above but here we simulate the movemnet of the water around an rigid object. So we are only simulating Navier-stocks equation.
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The displacement field will be all zero as there is no movement of the rigid body.
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## Loading Dataset
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```python
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data = FsiDataReader('./fsi-data/', mu=['1.0'], in_lets_x1=['0.0'])
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mesh = data.input_mesh
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print(mesh.shape)
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data_loader = data.get_loader(batch_size=1, shuffle=False)
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```
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data_vis.ipynb
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The diff for this file is too large to render.
See raw diff
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fsi_reader.py
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@@ -38,7 +38,7 @@ class FsiDataReader():
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self.location = location
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self._x1 = ['-4.0', '-2.0', '0.0', '2.0', '4.0', '6.0']
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self._x2 = ['-4.0', '-2.0', '0', '2.0', '4.0', '6.0']
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self._mu = ['0.
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# keeping vx, xy, P, dx,dy
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self.varable_idices = [0, 1, 3, 4, 5]
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raise ValueError(
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f"Value of is must be one of {self._ivals3} and {self._ivals12} ")
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path = os.path.join(
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self.
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'mu='+str(mu),
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'x1='+str(x1),
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'x2='+str(x2),
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for x1 in self._x1:
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for x2 in self._x2:
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try:
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if mu == 0.5:
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mu_data = self.get_data_txt(mu, x1, x2)
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else:
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mu_data = self.get_data(mu, x1, x2)
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self.location = location
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self._x1 = ['-4.0', '-2.0', '0.0', '2.0', '4.0', '6.0']
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self._x2 = ['-4.0', '-2.0', '0', '2.0', '4.0', '6.0']
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self._mu = ['0.5', '5', '1.0', '10.0']
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# keeping vx, xy, P, dx,dy
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self.varable_idices = [0, 1, 3, 4, 5]
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raise ValueError(
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f"Value of is must be one of {self._ivals3} and {self._ivals12} ")
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path = os.path.join(
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self.location,
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'mu='+str(mu),
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'x1='+str(x1),
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'x2='+str(x2),
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for x1 in self._x1:
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for x2 in self._x2:
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try:
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if mu == '0.5':
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mu_data = self.get_data_txt(mu, x1, x2)
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else:
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mu_data = self.get_data(mu, x1, x2)
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