8 citations · 39 across the 10 of their papers we have counts for
10 papers
Thermal analysis of dual-phase-lag model in a two-dimensional plate subjected to a heat source moving along elliptical trajectories
Kaiyuan Chen, Zhicheng Hu
In this paper, we focus on the study of heat transfer behavior for the dual-phase-lag heat conduction model, which describes the evolution of temperature in a two-dimensional recta…
Dual-phase-lag heat conduction analysis of a three-dimensional finite medium heated by a moving laser beam with circular or annular cross-section
Kaiyuan Chen, Longkun Fan, Zhicheng Hu +1
We analyze the non-Fourier dual-phase-lag heat conduction process in a three-dimensional medium heated by a moving circular or annular laser beam, which is modeled by a set of poin…
An efficient nonlinear multigrid solver for the simulation of rarefied gas cavity flow
Zhicheng Hu, Guanghan Li
We study efficient simulation of steady state for rarefied gas flow, which is modeled by the Boltzmann equation with BGK-type collision term. A nonlinear multigrid solver is propos…
Flows Between Parallel Plates: Analytical Solutions of Regularized 13-Moment Equations for Inverse-Power-Law Models
Zhicheng Hu, Siyao Yang, Zhenning Cai
We study the structure of stationary channel flows predicted by the regularized 13-moment equations. Compared with the previous work [P. Taheri et al., Phys. Fluids, 21 (2009), 017…
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…
An Efficient Steady-State Solver for Microflows with High-Order Moment Model
Zhicheng Hu, Guanghui Hu
In [Z. Hu, R. Li, and Z. Qiao. Acceleration for microflow simulations of high-order moment models by using lower-order model correction. J. Comput. Phys., 327:225-244, 2016], it ha…
Numerical Simulation of Microflows using Hermite Spectral Methods
Zhicheng Hu, Zhenning Cai, Yanli Wang
We propose a Hermite spectral method for the spatially inhomogeneous Boltzmann equation. For the inverse-power-law model, we generalize an approximate quadratic collision operator…
Acceleration for Microflow Simulations of High-Order Moment Models by Using Lower-Order Model Correction
Zhicheng Hu, Ruo Li, Zhonghua Qiao
We study the acceleration of steady-state computation for microflow, which is modeled by the high-order moment models derived recently from the steady-state Boltzmann equation with…
A Nonlinear Multigrid Steady-State Solver for Microflow
Zhicheng Hu, Ruo Li
We develop a nonlinear multigrid method to solve the steady state of microflow, which is modeled by the high order moment system derived recently for the steady-state Boltzmann equ…
Numerical investigations of traveling singular sources problems via moving mesh method
Zhicheng Hu, Keiwei Liang
This paper studies the numerical solution of traveling singular sources problems. In such problems, a big challenge is the sources move with different speeds, which are described b…