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Geometric Electrostatic Particle-In-Cell Algorithm on Unstructured Meshes
We compare the energy conservation property of the geometric PIC algorithm derived from the discrete variational principle with that of previous PIC methods on unstructured meshes.
Plasma Physics
Training neural networks under physical constraints using a stochastic augmented Lagrangian approach
We investigate the physics-constrained training of an encoder-decoder neural network for approximating the Fokker-Planck-Landau collision operator in the 5-dimensional kinetic fusion simulation in XGC.
Encoder-decoder neural network for solving the nonlinear Fokker-Planck-Landau collision operator in XGC
An encoder-decoder neural network has been used to accelerate the numerical solving of a partial integro-differential equation, the Fokker-Planck-Landau collision operator.
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