Data-Driven Modeling of Landau Damping by Fourier Neural Operator

The development of machine learning techniques enables us to construct surrogate models from data of direct numerical simulations, which has important implications for modeling complex physical systems. In this paper, based on the output from 1D Vlasov-Ampere simulations, we adopt the Fourier Neural Operator (FNO) to build surrogate models of Landau fluid closure for multi-moment fluid equations from kinetic simulation data. The trained FNO is able to obtain the heat flux using electron density as input, in agreement with the true value from kinetic simulations. We compare the physical quantities obtained using the FNO and Multilayer Perceptron (MLP) architectures, and found that the results of FNO are significantly better than that of MLP.