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20102021
most citedApproximation of the Boltzmann Collision Operator Based on Hermite Spectral Method

30 citations · 92 across the 20 of their papers we have counts for

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10 papers · 1 filter

math.NA2021

-tensor gradient flow with quasi-entropy and discretizations preserving physical constraints

Yanli Wang, Jie Xu

We propose and analyze numerical schemes for the gradient flow of -tensor with the quasi-entropy. The quasi-entropy is a strictly convex, rotationally invariant elementary funct…

math.NA2021★ 1 cited

Learning invariance preserving moment closure model for Boltzmann-BGK equation

Zhengyi Li, Bin Dong, Yanli Wang

As one of the main governing equations in kinetic theory, the Boltzmann equation is widely utilized in aerospace, microscopic flow, etc. Its high-resolution simulation is crucial i…

math.NA2021★ 1 cited

Numerical Solver for the Boltzmann Equation With Self-Adaptive Collision Operators

Zhenning Cai, Yanli Wang

We use the Burnett spectral method to solve the Boltzmann equation whose collision term is modeled by separate treatments for the low-frequency part and high-frequency part of the…

math.NA2020

An asymptotic-preserving IMEX method for nonlinear radiative transfer equation

Weiming Li, Peng Song, Yanli Wang

We present an asymptotic preserving method for the radiative transfer equations in the framework of PN method. An implicit and explicit method is proposed to solve the P N system b…

math.NA2019

A Robust Riemann Solver for Multiple Hydro-Elastoplastic Solid Mediums

Ruo Li, Yanli Wang, Chengbao Yao

We propose a robust approximate solver for the hydro-elastoplastic solid material, a general constitutive law extensively applied in explosion and high speed impact dynamics, and p…

math.NA2018★ 6 cited

Approximation to Singular Quadratic Collision Model in Fokker-Planck-Landau Equation

Ruo Li, Yanli Wang, Yixuan Wang

We propose a Hermite-Galerkin spectral method to numerically solve the spatially homogeneous Fokker-Planck-Landau equation with singular quadratic collision model. To compute the c…