node_coordinates_x list | node_coordinates_y list | connectivity list |
|---|---|---|
[
4,
4,
22,
22,
0,
0,
22,
11,
13,
5.5,
16.5,
13,
8.5,
17.5,
8.5,
17.5,
8.25,
13.75,
2.75,
19.25,
6.25,
6.25,
15.25,
15.25,
19.75,
19.75,
10.75,
10.75,
2,
9.625,
22,
6.875,
12.375,
0,
18.625,
7.375,
11.6875,
20.30479922992299,
14.125,
5.125,... | [
2,
0,
0,
2,
5,
2,
5,
5,
2,
5,
5,
0,
2,
2,
0,
0,
5,
5,
5,
5,
0,
2,
0,
2,
0,
2,
0,
2,
2,
3.604166666666667,
3.5,
5,
5,
3.5,
3.354166666666667,
3.330729166666667,
3.432291666666667,
3.605301155115511,
3.3125,
3.3125,
3.291666666666667,
3... | [
[
259,
720,
1628
],
[
139,
787,
959
],
[
86,
751,
1162
],
[
109,
646,
1228
],
[
335,
482,
1206
],
[
120,
1048,
1163
],
[
143,
833,
1265
],
[
194,
784,
1325
],
[
111,
1053,
1112... |
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
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.
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