147 citations · 725 across the 15 of their papers we have counts for
15 papers
High-order gas-kinetic scheme with TENO class reconstruction for the Euler and Navier-Stokes equations
Junlei Mu, Congshan Zhuo, Qingdian Zhang +2
The high-order gas-kinetic scheme(HGKS) with WENO spatial reconstruction method has been extensively validated through many numerical experiments, demonstrating its superior accura…
A direct unified wave-particle method for simulating non-equilibrium flows
Junzhe Cao, Sha Liu, Sirui Yang +1
In this work, the Navier-Stokes (NS) solver is combined with the Direct simulation Monte Carlo (DSMC) solver in a direct way, under the wave-particle formulation [J. Comput. Phys.…
An efficient high-order gas-kinetic scheme with hybrid WENO-AO method for the Euler and Navier-Stokes solutions
Junlei Mu, Congshan Zhuo, Qingdian Zhang +2
The high-order gas-kinetic scheme (HGKS) features good robustness, high efficiency and satisfactory accuracy,the performaence of which can be further improved combined with WENO-AO…
A conservative implicit scheme for three-dimensional steady flows of diatomic gases in all flow regimes using unstructured meshes in the physical and velocity spaces
Rui Zhang, Sha Liu, Jianfeng Chen +2
A computationally accurate and efficient numerical method under a unified framework is crucial to various multi-scale scientific and engineering problems. So far, many numerical me…
Unified gas-kinetic scheme with simplified multi-scale numerical flux for thermodynamic non-equilibrium flow in all flow regimes
Rui Zhang, Sha Liu, Chengwen Zhong +1
In this paper, a unified gas-kinetic scheme (UGKS) with simplified multi-scale numerical flux is proposed for the thermodynamic non-equilibrium flow simulation involving the excita…
A gas-surface interaction algorithm for discrete velocity methods in predicting rarefied and multi-scale flows: For Maxwell boundary model
Jianfeng Chen, Sha Liu, Yong Wang +3
The rarefied flow and multi-scale flow are crucial for the aerodynamic design of spacecraft, ultra-low orbital vehicles and plumes. By introducing a discrete velocity space, the di…
Conserved discrete unified gas-kinetic scheme with unstructured discrete velocity space
Jianfeng Chen, Sha Liu, Yong Wang +1
Discrete unified gas-kinetic scheme (DUGKS) is a multi-scale numerical method for flows from continuum limit to free molecular limit, and is especially suitable for the simulation…
A multi-prediction implicit scheme for steady state solutions of gas flow in all flow regimes
Ruifeng Yuan, Chengwen Zhong
An implicit multiscale method with multiple macroscopic prediction for steady state solutions of gas flow in all flow regimes is presented. The method is based on the finite volume…
Renormalized phonons in nonlinear lattices: A variational approach
Junjie Liu, Sha Liu, Nianbei Li +2
We propose a variational approach to study renormalized phonons in momentum conserving nonlinear lattices with either symmetric or asymmetric potentials. To investigate the influen…
1D momentum-conserving systems: the conundrum of anomalous versus normal heat transport
Yunyun Li, Sha Liu, Nianbei Li +2
Transport and diffusion of heat in one dimensional (1D) nonlinear systems which {\it conserve momentum} is typically thought to proceed anomalously. Notable exceptions, however, ex…
Triggering waves in nonlinear lattices: Quest for anharmonic phonons and corresponding mean free paths
Sha Liu, Junjie Liu, Peter Hänggi +2
Guided by a stylized experiment we develop a self-consistent anharmonic phonon concept for nonlinear lattices which allows for explicit "visualization." The idea uses a small exter…
Anomalous Heat Diffusion
Sha Liu, Peter Hänggi, Nianbei Li +2
Consider anomalous energy spread in solid phases, i.e., , as induced by a small initial excess energy perturbation distribution $…
Anomalous Heat Conduction and Anomalous Diffusion in Low Dimensional Nanoscale Systems
Sha Liu, Xiangfan Xu, Rongguo Xie +2
Thermal transport is an important energy transfer process in nature. Phonon is the major energy carrier for heat in semiconductor and dielectric materials. In analogy to Ohm's law…
Geometric Heat Flux for Classical Thermal Transport in Interacting Open Systems
Jie Ren, Sha Liu, Baowen Li
We study classical heat conduction in a dissipative open system composed of interacting oscillators. By exactly solving a twisted Fokker-Planck equation which describes the full co…
Anomalous Heat Diffusion
Sha Liu, Peter Hänggi, Nianbei Li +2
Consider anomalous energy spread in solid phases, i.e., , as induced by a small initial excess energy perturbation di…