| --- |
| dataset_info: |
| - config_name: geometry |
| features: |
| - name: node_coordinates_x |
| list: float64 |
| - name: node_coordinates_y |
| list: float64 |
| splits: |
| - name: default |
| num_bytes: 80664 |
| num_examples: 1 |
| download_size: 3772 |
| dataset_size: 80664 |
| - config_name: parameters |
| features: |
| - name: velocity |
| dtype: float64 |
| splits: |
| - name: default |
| num_bytes: 2400 |
| num_examples: 300 |
| download_size: 3632 |
| dataset_size: 2400 |
| - config_name: snapshots |
| features: |
| - name: velocity_magnitude |
| list: float64 |
| - name: pressure |
| list: float64 |
| splits: |
| - name: default |
| num_bytes: 24199200 |
| num_examples: 300 |
| download_size: 18171167 |
| dataset_size: 24199200 |
| 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-* |
| --- |
| # Lid-Driven Cavity Flow Dataset |
|
|
| ## Dataset Description |
|
|
| This dataset contains computational fluid dynamics simulations of the classic lid-driven cavity problem with varying lid velocity parameters. |
|
|
| ### Dataset Summary |
|
|
| The Lid-Driven Cavity dataset provides numerical simulations of viscous fluid flow in a square cavity with a moving lid. The dataset includes velocity magnitude and pressure fields, representing a fundamental benchmark problem in computational fluid dynamics suitable for validation of numerical methods and machine learning applications. |
|
|
| ## Dataset Structure |
|
|
| ### Data Instances |
|
|
| The dataset consists of three configurations: |
|
|
| - **geometry**: Mesh node coordinates |
| - **snapshots**: Flow field solutions (velocity magnitude and pressure) |
| - **parameters**: Lid velocity 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) |
|
|
| #### Snapshots Configuration |
| - `velocity_magnitude`: Velocity magnitude at each node (float64) |
| - `pressure`: Pressure field at each node (float64) |
|
|
| #### Parameters Configuration |
| - `velocity`: Lid velocity parameter for each simulation (float64) |
|
|
| ### Data Splits |
|
|
| - `default`: Contains all simulations |
|
|
| ## Dataset Creation |
|
|
| ### Source Data |
|
|
| The dataset was generated using numerical simulations of the incompressible Navier-Stokes equations in a square cavity with a moving top lid. This is a classic benchmark problem used for validating CFD codes. |
|
|
| ### Preprocessing |
|
|
| Solutions are stored as 1D arrays corresponding to the nodal values. The geometry uses a structured or unstructured mesh representation of the square cavity domain. |
|
|
| ## Usage |
|
|
| ```python |
| from datasets import load_dataset |
| import numpy as np |
| import matplotlib.pyplot as plt |
| |
| # Load geometry |
| ds_geom = load_dataset("SISSAmathLab/lid-cavity", name="geometry") |
| |
| # Load snapshots |
| ds_data = load_dataset("SISSAmathLab/lid-cavity", name="snapshots") |
| |
| # Load parameters |
| ds_params = load_dataset("SISSAmathLab/lid-cavity", name="parameters") |
| |
| # Visualize velocity magnitude 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() |
| velocity_mag = ds_data['default']['velocity_magnitude'][0] |
| |
| plt.scatter(pts_x, pts_y, c=velocity_mag, cmap='jet', s=1) |
| plt.colorbar(label='Velocity Magnitude') |
| plt.title('Lid-Driven Cavity Flow') |
| plt.xlabel('x') |
| plt.ylabel('y') |
| plt.axis('equal') |
| plt.show() |
| ``` |
|
|
|
|
| ## Contact |
|
|
| For questions or issues, please contact SISSA mathLab. |
