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317M DoF stellarator benchmark

Solving a 317 Million DoF Stellarator Magnet in 8 Minutes (22 TB RAM)

 

Magnetism H   •   Magnetism φ   •   Heat solid   •   Current flow

The challenge

Simulating High-Temperature Superconducting (HTS) Stellarators requires capturing intricate 3D geometries with extreme mesh density.

Reaching the necessary fidelity often creates models with hundreds of millions of degrees of freedom (DoF). Such models require tens of Terabytes of RAM, making them impossible to solve on even the largest on-premise supercomputing clusters due to memory bottlenecks.

Approach with Quanscient Allsolve

The webinar demonstrated Quanscient Allsolve’s ability to eliminate RAM limitations using the Domain Decomposition Method (DDM) on a massive cloud cluster.

The simulation provisioned 500 cloud nodes (each with 32 GB RAM) to create a cumulative memory pool of 22.64 TB, allowing the solver to handle the 317 million unknowns entirely in parallel.

Key results

  • Scale: Successfully solved a 317 Million DoF Magnetostatics model, a scale rarely achieved in commercial FEA.
  • Speed: The full solution took only 504 seconds (8.4 minutes) using 500 nodes. Reducing the node count to 200 still yielded a result in just 13 minutes.
  • Hardware access: Utilized 22.64 TB of RAM, demonstrating that cloud simulation effectively removes "Out of Memory" errors from the engineering workflow.
Lorentz loadsand magnetic field B on the full-scale full-turns detailed coil.