| | --- |
| | 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: 75692 |
| | num_examples: 1 |
| | download_size: 48029 |
| | dataset_size: 75692 |
| | - config_name: parameters |
| | features: |
| | - name: viscosity |
| | dtype: float64 |
| | splits: |
| | - name: default |
| | num_bytes: 4000 |
| | num_examples: 500 |
| | download_size: 5460 |
| | dataset_size: 4000 |
| | - config_name: snapshots |
| | features: |
| | - name: velocity_x |
| | list: float64 |
| | - name: velocity_y |
| | list: float64 |
| | - name: pressure |
| | list: float64 |
| | splits: |
| | - name: default |
| | num_bytes: 19674000 |
| | num_examples: 500 |
| | download_size: 19644566 |
| | dataset_size: 19674000 |
| | 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-* |
| | --- |
| | # Navier-Stokes Flow Around Cylinder Dataset |
| |
|
| | ## Dataset Description |
| |
|
| | This dataset contains computational fluid dynamics simulations of incompressible flow around a cylinder with varying viscosity parameters. |
| |
|
| | ### Dataset Summary |
| |
|
| | The Navier-Stokes Cylinder dataset provides numerical simulations of viscous fluid flow around a circular cylinder. The dataset includes velocity fields (x and y components) and pressure fields, making it ideal for fluid dynamics research, reduced-order modeling, and machine learning applications in CFD. |
| |
|
| | ## Dataset Structure |
| |
|
| | ### Data Instances |
| |
|
| | The dataset consists of three configurations: |
| |
|
| | - **geometry**: Mesh information (nodes and connectivity) |
| | - **snapshots**: Flow field solutions (velocity and pressure) |
| | - **parameters**: Viscosity 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 |
| | - `velocity_x`: Velocity field in x-direction at each node (float64) |
| | - `velocity_y`: Velocity field in y-direction at each node (float64) |
| | - `pressure`: Pressure field at each node (float64) |
| |
|
| | #### Parameters Configuration |
| | - `viscosity`: Kinematic viscosity 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 incompressible Navier-Stokes equations with varying viscosity parameters. The flow configuration represents flow around a circular cylinder, a classic benchmark problem in computational fluid dynamics. |
| |
|
| | ### Preprocessing |
| |
|
| | Solutions are stored with velocity components and pressure as separate 1D arrays corresponding to the nodal values on the mesh. The raw data is reshaped from column-major (Fortran) order. |
| |
|
| | ## 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/navier-stokes-cylinder", name="geometry") |
| | |
| | # Load snapshots |
| | ds_data = load_dataset("SISSAmathLab/navier-stokes-cylinder", name="snapshots") |
| | |
| | # Load parameters |
| | ds_params = load_dataset("SISSAmathLab/navier-stokes-cylinder", 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() |
| | connectivity = ds_geom['default']['connectivity'][0] |
| | |
| | vel_x = np.asarray(ds_data['default']['velocity_x'][0]) |
| | vel_y = np.asarray(ds_data['default']['velocity_y'][0]) |
| | velocity_magnitude = np.sqrt(vel_x**2 + vel_y**2) |
| | |
| | triang = mtri.Triangulation(pts_x, pts_y, connectivity) |
| | plt.tripcolor(triang, velocity_magnitude, cmap='viridis') |
| | plt.colorbar(label='Velocity Magnitude') |
| | plt.title('Navier-Stokes - Flow Around Cylinder') |
| | plt.xlabel('x') |
| | plt.ylabel('y') |
| | plt.axis('equal') |
| | plt.show() |
| | ``` |
| |
|
| |
|
| | ## Contact |
| |
|
| | For questions or issues, please contact SISSA mathLab. |
