VELSTROM LogoVELSTROMPLATFORM

PLANETARYEARTH ENGINEERINGCOMPUTATIONAL PLATFORM

Platform VELSTROM provides developers, researchers, and enterprises with high-performance compute engines, multi-spectral image APIs, and advanced planetary systems modeling tools to power sustainable development workflows.

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Terrain Field Surface · z = f(x, y)
Domain[−3, 3]²
SolverReal-time
ProjectionPerspective

Six Computational Foundations

The platform is organized into discrete scientific categories, providing researchers and developers with highly-specialized documentation, parameters, and simulation codes.

REST / WebSocket

Computational APIs

Direct REST and WebSocket interfaces for querying satellite bands, computing indices, and querying terrain characteristics.

5 endpoints · v1.0Explore
GeoTIFF / NetCDF

Planetary Datasets

Archived remote sensing archives, climate grids, elevation models, and proprietary soil carbon benchmark databases.

8.4 PB · 1024 shardsExplore
Spectral Analysis

Geospatial Intelligence

Comprehensive spectral band math guidelines, synthetic aperture radar (SAR) diagnostics, and standard formula library.

30+ indices · 12 bandsExplore
HPC / CUDA

Scientific Computing

Numerical modeling libraries, micromagnetics simulations, and high-performance CUDA parallel workflow engines.

8 engines · 256 nodesExplore
Simulation

Earth Systems Mechanics

Planetary-scale soil degradation monitors, carbon flux calculators, and watershed hydrology simulators.

4D soil · runoff modelsExplore
Reference

Resources & Ethics

Scientific term dictionaries, data sovereignty blueprints, knowledge libraries, and FAQ databases.

80+ terms · open accessExplore

Planetary Remote Sensing & Spectral Diagnostics

VELSTROM compiles raw satellite orbits into structured environmental datasets. Our processing core normalizes atmosphere scattering, interprets multi-spectral reflectance ratios, and extracts high-resolution topographic terrain metrics in real time.

1. C-Band Radar Synthesis (SAR)

Processes Sentinel-1 polarization ratios (VV, VH) to calculate surface roughness, mapping soil carbon structure and hydrologic trends independent of cloud cover.

2. Multispectral Analysis

Synthesizes 12 optical bands from Sentinel-2 and Landsat missions, extracting critical vegetation canopy data and mineral composition models.

Browse Index Library
NDVI Vegetation Index Map
Orthorectified GeoTIFF Raster Slice
S2B_L2A · NDVI · GSD 10m
NDVI Classification ScaleIndex Range: −1.0 to +1.0
−1.0 → 0Water / Snow
0 → 0.15Barren / Rock
0.15 → 0.5Grass / Shrub
0.5 → 1.0Dense Canopy
Remote Sensing Science

NDVI: Photosynthetic Canopy Indexing

The Normalized Difference Vegetation Index (NDVI) quantifies vegetation greenness using the spectral signature of healthy leaves — high chlorophyll absorption in red visible light and strong reflectance in near-infrared (NIR) wavelengths.

Algorithmic Ratio Formula
NDVI=NIR−RedNIR+Red\text{NDVI} = \frac{\text{NIR} - \text{Red}}{\text{NIR} + \text{Red}}
Sentinel-2 MSI WavebandsRed (Band 4): 665 nm\text{Red (Band 4): 665\text{ nm}} · NIR (Band 8): 842 nm\text{NIR (Band 8): 842\text{ nm}}
Atmospheric Normalization

Level-1C TOA reflectance is adjusted via Sen2Cor radiative transfer algorithms to produce Level-2A BOA surface reflectance, correcting for gaseous absorption and Rayleigh scattering.

Spatial Resolution & Data Pipelines

VELSTROM processes satellite tiles into Cloud-Optimized GeoTIFFs (COGs) on the fly, delivering sub-second JSON telemetry and raster exports over REST and WebSockets.

GSD Resolution10m
Revisit Cycle5 days
Output FormatCOG / GeoTIFF
ProjectionWGS84 / UTM
Sen2Cor L2ATOA→BOA10m GSDBand 4+8COG
Micromagnetics Precession Modeller (LLG Equations)
Manual Phase Stepping Mode
Spin lattice magnetization vectors (m_x, m_y projection)
Time-Domain Magnetization (m_x component)Damped Precession Curve
Micromagnetics Solver

LLG Equation & Spatial Discretization

The Landau-Lifshitz-Gilbert (LLG) equation governs the precessional motion and relaxation damping of magnetization in ferromagnetic thin films. To evaluate magnetic fields within a workspace, the continuum magnetization is discretized into discrete spatial grids, and solved using numerical time-integration.

Gilbert Damping Coefficient (α\alpha):0.08
Effective Magnetic Field (HeffH_{\text{eff}}):2.5 T
Manual Precession Phase Angle (ϕ\phi):45°
Drag the slider to manually rotate the spin waves and trace the precession envelope.
Solver Telemetry & Instrumentation
Larmor Frequency70.0 GHzfL=γHeff2πf_L = \frac{\gamma H_{\text{eff}}}{2\pi}
Zeeman Energy-2.7681 eV/spinE=−m⋅HeffE = -\mathbf{m} \cdot \mathbf{H}_{\text{eff}}
Precession Torque-1.768 a.u.τp∝m×Heff\mathbf{\tau}_p \propto \mathbf{m} \times \mathbf{H}_{\text{eff}}
Damping Torque0.141 a.u.τd∝α(m×dmdt)\mathbf{\tau}_d \propto \alpha \left(\mathbf{m} \times \frac{d\mathbf{m}}{dt}\right)
Governing Differential Equation
dmdt=−γ(m×Heff)+α(m×dmdt)\frac{d\mathbf{m}}{dt} = -\gamma(\mathbf{m} \times \mathbf{H}_{\text{eff}}) + \alpha\left(\mathbf{m} \times \frac{d\mathbf{m}}{dt}\right)
Spatial Grid Boundaries

Spins are mapped to a Finite Difference (FD) grid. The cell size must be smaller than the magnetic exchange length (typically ≤2 nm\le 2\text{ nm}) to resolve exchange interaction boundaries correctly without unphysical spin singularities.

Numerical ODE Integrators

VELSTROM solvers utilize Adaptive Runge-Kutta-Fehlberg (RKF45) routines. This computes local effective fields—consisting of exchange stiffness, Zeeman field, demagnetizing tensor, and magnetocrystalline anisotropy—parallelized on CUDA core arrays.

Computational Physics & Simulation Clusters

VELSTROM incorporates modern high-performance numerical engines directly in the workspace. Deploy micromagnetics calculations, simulate computational fluid dynamics (CFD) for watersheds, and compute massive finite-element boundaries on our GPU cluster.

1

Micromagnetics Processing

Integrated scripting environments for MuMax3 and OOMMF simulation runs with full hardware acceleration.

2

Partial Differential Solver Grids

Deploy FEniCS, deal.II, and PETSc linear algebra kernels for high-order finite-element modeling of tectonic and hydrology patterns.

3

Computational Fluid Dynamics (CFD)

OpenFOAM and Lattice-Boltzmann solvers for watershed runoff simulation, sediment transport, and atmospheric boundary-layer turbulence modeling.

4

GPU Cluster Architecture

Multi-node NVIDIA A100 clusters with NVLink interconnects, delivering 312 TFLOPS FP16 per node for large-scale parallel matrix decompositions.

Compute Nodes256 × A100
Peak Throughput79.8 PFLOPS
InterconnectNVLink 600 GB/s
Solver Engines8 Active
Explore Simulation Engines
Developer Gateway

High-Performance API Playground

Access multi-spectral band calculation layers, spatial soil profiles, and GPU-driven simulation environments directly via REST request nodes or our official programming SDK wrappers.

Endpoint API Route:
Integrations SDK
curl -X GET "https://api.velstrom.in/v1/geospatial/indices/ndvi?lat=12.9716&lon=77.5946" \
  -H "Authorization: Bearer vst_live_8a2f1c93a0"
curl
Target Hostplatform.velstrom.in/v1
Terminal Console logs
velstrom-api:~$ query --endpoint=ndvi
Click "Execute Request" to connect to our high-performance computing clusters and retrieve active datasets.