Fast Dynamic 1D Simulation of Divertor Plasmas with Neural PDE Surrogates

arXiv:2305.18944v323 citations
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This provides a fast simulation tool for real-time applications or parameter scans in nuclear fusion research, though it is incremental as it applies existing neural PDE surrogate methods to a specific domain.

The paper tackled the lack of fast simulators for divertor plasmas in tokamak reactors by using neural PDE surrogates to approximate a 1D dynamic model, achieving sub real-time computation speeds where 2ms of plasma dynamics can be computed in ≈0.63ms, several orders of magnitude faster than the reference model.

Managing divertor plasmas is crucial for operating reactor scale tokamak devices due to heat and particle flux constraints on the divertor target. Simulation is an important tool to understand and control these plasmas, however, for real-time applications or exhaustive parameter scans only simple approximations are currently fast enough. We address this lack of fast simulators using neural PDE surrogates, data-driven neural network-based surrogate models trained using solutions generated with a classical numerical method. The surrogate approximates a time-stepping operator that evolves the full spatial solution of a reference physics-based model over time. We use DIV1D, a 1D dynamic model of the divertor plasma, as reference model to generate data. DIV1D's domain covers a 1D heat flux tube from the X-point (upstream) to the target. We simulate a realistic TCV divertor plasma with dynamics induced by upstream density ramps and provide an exploratory outlook towards fast transients. State-of-the-art neural PDE surrogates are evaluated in a common framework and extended for properties of the DIV1D data. We evaluate (1) the speed-accuracy trade-off; (2) recreating non-linear behavior; (3) data efficiency; and (4) parameter inter- and extrapolation. Once trained, neural PDE surrogates can faithfully approximate DIV1D's divertor plasma dynamics at sub real-time computation speeds: In the proposed configuration, 2ms of plasma dynamics can be computed in $\approx$0.63ms of wall-clock time, several orders of magnitude faster than DIV1D.

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