66 citations · 168 across the 15 of their papers we have counts for
15 papers
Semi-implicit Lax-Wendroff kinetic scheme for hydrodynamic phonon transport
Shijie Li, Hong Liang, Songze Chen +1
A semi-implicit Lax-Wendroff kinetic scheme is developed for hydrodynamic phonon transport in solid materials based on the Boltzmann transport equation under the double relaxation…
Semi-implicit Lax-Wendroff kinetic scheme for multi-scale phonon transport
Shuang Peng, Songze Chen, Hong Liang +1
Fast and accurate predictions of the spatiotemporal distributions of temperature are crucial to the multi-scale thermal management and safe operation of microelectronic devices. To…
Acceleration strategy of source iteration method for the stationary phonon Boltzmann transport equation
Chuang Zhang, Samuel Huberman, Xinliang Song +3
Mesoscopic numerical simulation has become an important tool in thermal management and energy harvesting at the micro/nano scale, where the Fourier's law failed. However, it is not…
Heat vortexes of ballistic, diffusive and hydrodynamic phonon transport in two-dimensional materials
Chuang Zhang, Songze Chen, Zhaoli Guo
In this work, the heat vortexes in two-dimensional porous or ribbon structures are investigated based on the phonon Boltzmann transport equation (BTE) under the Callaway model. Fir…
Non-ideal gas dynamics under confinement: rarefaction effect, dense effect and molecular interaction
Baochao Shan, Peng Wang, Songze Chen +1
The effects of volume exclusion and long-range intermolecular attraction are investigated by the simplified kinetic model for surface-confined inhomogeneous fluids. Gas dynamics of…
Perturbation theory of thermal rectification
Chuang Zhang, Meng An, Zhaoli Guo +1
Thermal rectification which is a diode-like behavior of heat flux has been studied over a long time. However, a universal and systematic physical description is still lacking. In t…
Radial thermal rectification in the concentric silicon ring from ballistic to diffusive regime
Chuang Zhang, Songze Chen, Zhaoli Guo
The radial thermal rectification in the concentric silicon ring from ballistic to diffusive regime is investigated based on the phonon Boltzmann transport equation. In the ballisti…
A well-balanced gas kinetic scheme for Navier-Stokes equations with gravitational potential
Songze Chen, Zhaoli Guo, Kun Xu
The hydrostatic equilibrium state is the consequence of the exact hydrostatic balance between hydrostatic pressure and external force. Standard finite volume or finite difference s…
A fast synthetic iterative scheme for the stationary phonon Boltzmann transport equation
Chuang Zhang, Songze Chen, Zhaoli Guo +1
In this paper, a fast synthetic iterative scheme is developed to accelerate convergence for the implicit DOM based on the stationary phonon BTE. The key innovative point of the pre…
GPU acceleration of an iterative scheme for gas-kinetic model equations with memory reduction techniques
Lianhua Zhu, Peng Wang, Songze Chen +2
This paper presents a Graphics Processing Units (GPUs) acceleration method of an iterative scheme for gas-kinetic model equations. Unlike the previous GPU parallelization of explic…
An implicit kinetic scheme for multiscale heat transfer problem accounting for phonon dispersion and polarization
Chuang Zhang, Songze Chen, Zhaoli Guo
An efficient implicit kinetic scheme is developed to solve the stationary phonon Boltzmann transport equation (BTE) based on the non-gray model including the phonon dispersion and…
A simplification of the unified gas kinetic scheme
Songze Chen, Zhaoli Guo, Kun Xu
Unified gas kinetic scheme (UGKS) is an asymptotic preserving scheme for the kinetic equations. It is superior for transition flow simulations, and has been validated in the past y…
Cartesian Grid Method for Gas Kinetic Scheme
Songze Chen, Kun Xu, Zhihui Li
A Cartesian grid method combined with a simplified gas kinetic scheme is presented for subsonic and supersonic viscous flow simulation on complex geometries. Under the Cartesian me…
A Comparative Study of an Asymptotic Preserving Scheme and Unified Gas-kinetic Scheme in Continuum Flow Limit
Songze Chen, Kun Xu
Asymptotic preserving (AP) schemes are targeting to simulate both continuum and rarefied flows. Many AP schemes have been developed and are capable of capturing the Euler limit in…
A Comparison and Unification of Ellipsoidal Statistical and Shakhov BGK Models
Songze Chen, Kun Xu, Qingdong Cai
The Ellipsoidal Statistical model (ES-model) and the Shakhov model (S-model) are constructed for the correction of Prandtl number of the original BGK model through the modification…