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dataset_info:
- config_name: geometry
features:
- name: node_coordinates_x
list: float64
- name: node_coordinates_y
list: float64
- name: connectivity
list:
list: int32
splits:
- name: default
num_bytes: 13548
num_examples: 1
download_size: 9866
dataset_size: 13548
- config_name: parameters
features:
- name: conductivity
list: float64
splits:
- name: default
num_bytes: 160
num_examples: 8
download_size: 1182
dataset_size: 160
- config_name: snapshots
features:
- name: temperature
list: float64
splits:
- name: default
num_bytes: 19488
num_examples: 8
download_size: 23138
dataset_size: 19488
configs:
- config_name: geometry
data_files:
- split: default
path: geometry/default-*
- config_name: parameters
data_files:
- split: default
path: parameters/default-*
- config_name: snapshots
data_files:
- split: default
path: snapshots/default-*
---
# Thermal Block Dataset
## Dataset Description
This dataset contains thermal diffusion simulations on a 2D block geometry with varying thermal conductivity parameters.
### Dataset Summary
The Thermal Block dataset provides numerical simulations of heat transfer in a 2D block with parametrized thermal conductivity. The dataset is useful for reduced-order modeling, surrogate modeling, and physics-informed machine learning applications in thermal analysis.
## Dataset Structure
### Data Instances
The dataset consists of three configurations:
- **geometry**: Mesh information (nodes and connectivity)
- **snapshots**: Temperature field solutions
- **parameters**: Thermal conductivity values for each simulation
### Data Fields
#### Geometry Configuration
- `node_coordinates_x`: Sequence of x-coordinates of mesh nodes (float64)
- `node_coordinates_y`: Sequence of y-coordinates of mesh nodes (float64)
- `connectivity`: Sequence of element connectivity (triangular elements, int32)
#### Snapshots Configuration
- `temperature`: Temperature field at each node (float64)
#### Parameters Configuration
- `conductivity`: Thermal conductivity parameter for each simulation (float64)
### Data Splits
- `default`: Contains all simulations
## Dataset Creation
### Source Data
The dataset was generated using finite element simulations of the heat equation with varying thermal conductivity parameters.
### Preprocessing
Solutions are stored as 1D arrays corresponding to the nodal values on the mesh.
## Usage
```python
from datasets import load_dataset
import numpy as np
import matplotlib.pyplot as plt
import matplotlib.tri as mtri
# Load geometry
ds_geom = load_dataset("SISSAmathLab/thermal-block", name="geometry")
# Load snapshots
ds_data = load_dataset("SISSAmathLab/thermal-block", name="snapshots")
# Load parameters
ds_params = load_dataset("SISSAmathLab/thermal-block", name="parameters")
# Visualize temperature distribution for first simulation
pts_x = np.asarray(ds_geom['default']['node_coordinates_x']).flatten()
pts_y = np.asarray(ds_geom['default']['node_coordinates_y']).flatten()
connectivity = ds_geom['default']['connectivity'][0]
temperature = ds_data['default']['temperature'][0]
triang = mtri.Triangulation(pts_x, pts_y, connectivity)
plt.tripcolor(triang, temperature)
plt.colorbar(label='Temperature')
plt.title('Thermal Block - Temperature Distribution')
plt.xlabel('x')
plt.ylabel('y')
plt.show()
```
## Contact
For questions or issues, please contact SISSA mathLab. |