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The general synthetic iterative scheme (GSIS) has proven its efficacy in modeling rarefied gas dynamics, where the steady-state solutions are obtained after dozens of iterations of the Boltzmann equation, with minimal numerical dissipation…

计算物理 · 物理学 2024-07-10 Liyan Luo , Lei Wu

The unified gas-kinetic wave-particle (UGKWP) method is proposed for the neutron transport equation, addressing the inherent multiscale nature of neutron propagation in both optically thin and thick regimes. UGKWP couples macroscopic…

数值分析 · 数学 2025-09-15 Guangwei Liu , Shuang Tan , Yanli Wang

Reactive flows for rarefied gas mixtures involve a multi-scale transport characterized by particle collisions and free streaming, and non-equilibrium physics containing multi-species interactions, and chemical non-equilibrium. These flows…

流体动力学 · 物理学 2024-12-16 Yufeng Wei , Junzhe Cao , Kun Xu

This study extends the Unified Gas-Kinetic Scheme (UGKS) and the Unified Gas-Kinetic Wave-Particle (UGKWP) method for electrostatic plasma modeling, ensuring the correct asymptotic limits with respect to both the Debye length and the mean…

计算物理 · 物理学 2025-12-18 Zhigang Pu , Kun Xu

In this paper, a unified gas kinetic scheme with adaptive velocity space (AUGKS) for multiscale flow transport will be developed. In near-equilibrium flow regions, particle distribution function is close to the Chapman-Enskog expansion and…

计算物理 · 物理学 2018-02-15 Tianbai Xiao , Kun Xu , Qingdong Cai

In the study of rarefied gas dynamics, the discrete velocity method (DVM) has been widely employed to solve the gas kinetic equations. Although various versions of DVM have been developed, their performance, in terms of accuracy and…

流体动力学 · 物理学 2016-12-21 Peng Wang , Minh-Tuan Ho , Lei Wu , Zhaoli Guo , Yonghao Zhang

With wave-particle decomposition, a unified gas-kinetic wave-particle (UGKWP) method has been developed for the multiscale flow simulations. The UGKWP method captures the transport process in all flow regimes without kinetic solver's…

流体动力学 · 物理学 2023-03-27 Yufeng Wei , Junzhe Cao , Xing Ji , Kun Xu

To simulate the interaction of ocean waves with marine structures, coupling approaches between a potential flow model and a viscous model are investigated. The first model is a fully nonlinear potential flow (FNPF) model based on the…

流体动力学 · 物理学 2022-06-22 Fabien Robaux , Michel Benoit

The direct simulation Monte Carlo (DSMC) method is a widely used stochastic particle approach to solving the Boltzmann equation. However, its computational cost remains a major drawback, which can be attributed to statistical errors when…

流体动力学 · 物理学 2024-07-12 Takehiro Shiraishi , Ikuya Kinefuchi

The kinetic model with multiple integral terms based on the Enskog-Vlasov(EV) equation is widely employed to describe the inhomogeneous fluids at the nanoscale. However, previous studies have mainly focused on one-dimensional cases, partly…

流体动力学 · 物理学 2025-11-26 Huipeng Liu , Zhaoli Guo

The stochastic particle method based on Bhatnagar-Gross-Krook (BGK) or ellipsoidal statistical BGK (ESBGK) model approximates the pairwise collisions in the Boltzmann equation using a relaxation process. Therefore, it is more efficient to…

计算物理 · 物理学 2018-08-14 Fei Fei , Jun Zhang , Jing Li , ZhaoHui Liu

First of all, this paper presents some improvements of DSMC method in the form of new schemes and approaches, that, for a wide class of problems, increase performance and reduce the demands on computer resources. The most important…

流体动力学 · 物理学 2012-01-16 Roman V. Maltsev

It is now established that nuclear quantum motion plays an important role in determining water's hydrogen bonding, structure, and dynamics. Such effects are important to include in density functional theory (DFT) based molecular dynamics…

化学物理 · 物理学 2018-12-20 Daniel C. Elton , Michelle Fritz , M. -V. Fernández-Serra

Rarefied gas effects are of critical importance for the aerodynamic performance of hypersonic vehicles operating at high altitudes. In these scenarios, conventional computational fluid dynamics (CFD) solvers break down as the linear…

流体动力学 · 物理学 2026-05-25 Wenpei Long , Junzhe Cao , Yue Zhang , Kun Xu

There are several approaches to describe flows with particles e.g. Lattice-Gas Automata (LGA), Lattice-Boltzmann method (LBM) or smoothed particle hydrodynamics (SPH). These approaches do not use fixed grids on which the Navier-Stokes…

流体动力学 · 物理学 2008-02-27 B. Ivancic

The unified gas kinetic scheme (UGKS) is a direct modeling method based on the gas dynamical model on the mesh size and time step scales. With the implementation of particle transport and collision in a time-dependent flux function, the…

计算物理 · 物理学 2017-10-25 Yajun Zhu , Chengwen Zhong , Kun Xu

This paper introduces a new asymptotic-preserving Monte Carlo (APMC) method for simulating multi-species gas flows. This method decomposes the collision operator of the traditional APMC methods into macro and micro collision parts: the…

流体动力学 · 物理学 2024-10-29 Fei Fei

In this study, the Vlasov-Poisson equation with or without collision term for plasma is solved by the unified gas kinetic scheme (UGKS). The Vlasov equation is a differential equation describing time evolution of the distribution function…

计算物理 · 物理学 2018-10-18 Dongxin Pana , Chengwen Zhong , Congshan Zhuo , Wei Tan

In this paper, we extend the unified gas-kinetic wave-particle (UGKWP) method to the multiscale photon transport. In this method, the photon free streaming and scattering processes are treated in an un-splitting way. The duality…

计算物理 · 物理学 2020-02-19 Weiming Li , Chang Liu , Yajun Zhu , Jiwei Zhang , Kun Xu

This paper presents a novel methodology for the direct numerical modeling and simulation of turbulent flows. The kinetic model equation is firstly extended to turbulent flow with the account of coupled evolution of kinetic, thermal, and…

计算物理 · 物理学 2025-03-11 Xiaojian Yang , Kun Xu