metadata
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
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.