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20102023
most citedApproximation of the Boltzmann Collision Operator Based on Hermite Spectral Method

30 citations · 228 across the 45 of their papers we have counts for

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7 papers · 1 filter

physics.comp-ph2023

Moment Methods for the 3D Radiative Transfer Equation Based on -Divergences

Michael R. A. Abdelmalik, Zhenning Cai, Teddy Pichard

The method of moments is widely used for the reduction of kinetic equations into fluid models. It consists in extracting the moments of the kinetic equation with respect to a veloc…

physics.comp-ph2021★ 4 cited

Regularization of Complex Langevin Method

Zhenning Cai, Yang Kuang, Hong Kiat Tan

The complex Langevin method, a numerical method used to compute the ensemble average with a complex partition function, often suffers from runaway instability. We study the regular…

physics.comp-ph2020★ 6 cited

Accurate and efficient calculation of photoionization in streamer discharges using fast multipole method

Bo Lin, Chijie Zhuang, Zhenning Cai +2

This paper focuses on the three-dimensional simulation of the photoionization in streamer discharges, and provides a general framework to efficiently and accurately calculate the p…

physics.comp-ph2019★ 2 cited

Burnett Spectral Method for High-Speed Rarefied Gas Flows

Zhicheng Hu, Zhenning Cai

We introduce a numerical solver for the spatially inhomogeneous Boltzmann equation using the Burnett spectral method. The modelling and discretization of the collision operator are…

physics.comp-ph2018★ 2 cited

An efficient and accurate MPI based parallel simulator for streamer discharges in three dimensions

Bo Lin, Chijie Zhuang, Zhenning Cai +2

In this paper, we propose an efficient and accurate message-passing interface (MPI)-based parallel simulator for streamer discharges in three dimensions using the fluid model. Firs…

physics.comp-ph2018★ 1 cited

Burnett Spectral Method for the Spatially Homogeneous Boltzmann Equation

Zhenning Cai, Yuwei Fan, Yanli Wang

We develop a spectral method for the spatially homogeneous Boltzmann equation using Burnett polynomials in the basis functions. Using the sparsity of the coefficients in the expans…