4 papers
Asymptotic-preserving semi-Lagrangian discontinuous Galerkin schemes for the Boltzmann equation
Xiaofeng Cai, Zhen Hao, Liu Liu +1
In this work, we present an asymptotic-preserving semi-Lagrangian discontinuous Galerkin scheme for the Boltzmann equation that effectively handles multi-scale transport phenomena.…
A Bi-fidelity numerical method for velocity discretization of Boltzmann equations
Nicolas Crouseilles, Zhen Hao, Liu Liu
In this paper, we introduce a bi-fidelity algorithm for velocity discretization of Boltzmann-type kinetic equations under multiple scales. The proposed method employs a simpler and…
An efficient Asymptotic-Preserving scheme for the Boltzmann mixture with disparate mass
Zhen Hao, Ning Jiang, Liu Liu
In this paper, we develop and implement an efficient asymptotic-preserving (AP) scheme to solve the gas mixture of Boltzmann equations under the disparate mass scaling relevant to…
Low mach Number Limit of the Viscous and Heat Conductive Flow with general pressure law on torus
Yuhan Chen, Guilong Gui, Zhen Hao +1
We prove the low Mach number limit from compressible Navier-Stokes-Fourier system with the general pressure law around a constant state on the torus . We view this…