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A discrete unified gas kinetic scheme (DUGKS) coupled with the immersed boundary (IB) method is developed to perform interface-resolved simulation of particle-laden flows. The present method (IB-DUGKS) preserves the respective advantages of…

流体动力学 · 物理学 2018-10-17 Shi Tao , Haolong Zhang , Zhaoli Guo , Lian-Ping Wang

In this paper, the original discrete unified gas kinetic scheme (DUGKS) is extended to arbitrary Lagrangian-Eulerian (ALE) framework for simulating the low-speed continuum and rarefied flows with moving boundaries. For ALE method, the mesh…

计算物理 · 物理学 2020-01-08 Yong Wan , Chengwen Zhong

The discrete velocity method (DVM) is a powerful framework for simulating gas flows across continuum to rarefied regimes, yet its efficiency remains limited by existing quadrature rules. Conventional infinite-domain quadratures, such as…

流体动力学 · 物理学 2025-10-23 Lu Wang , Lingyun Deng , Guanqing Wang , Hong Liang , Jiangrong Xu

In this series of works, we develop a discrete-velocity-direction model (DVDM) with collisions of BGK-type for simulating gas flows, where the molecular motion is confined to some prescribed directions but the speed is still a continuous…

计算物理 · 物理学 2023-01-18 Yihong Chen , Qian Huang , Wen-An Yong

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

The non-equilibrium gas dynamics is described by the Boltzmann equation, which can be solved numerically through the deterministic and stochastic methods. Due to the complicated collision term of the Boltzmann equation, many kinetic…

计算物理 · 物理学 2021-02-03 Xiaocong Xu , Yipei Chen , Kun Xu

In this paper, a unified gas kinetic scheme for multiphase dilute gas-particle system is proposed. The UGKS multiphase (UGKS-M) is a finite volume method, which captures flow physics in the regimes from collisionless multispecies transport…

计算物理 · 物理学 2019-05-01 Chang Liu , Zhao Wang , Kun Xu

In order to treat immiscible two-phase flows at large density ratios and high Reynolds numbers, a three-dimensional code based on the discrete unified gas kinetic scheme (DUGKS) is developed, incorporating two major improvements. First, the…

流体动力学 · 物理学 2022-10-05 Jun Lai , Zuoli Xiao , Lian-Ping Wang

In this paper, the unified gas-kinetic wave-particle (UGKWP) method is further developed for diatomic gas with the energy exchange between translational and rotational modes for flow study in all regimes. The multiscale transport mechanism…

计算物理 · 物理学 2021-07-07 Xiaocong Xu , Yipei Chen , Chang Liu , Zhihui Li , Kun Xu

The general characteristics based off-lattice Boltzmann scheme (BKG) proposed by Bardow et~al.(2006), and the discrete unified gas kinetic scheme (DUGKS) are two methods that successfully overcome the time step restriction by the collision…

流体动力学 · 物理学 2015-11-23 Lianhua Zhu , Peng Wang , Zhaoli Guo

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 excitation of molecular vibrational degrees of freedom in all flow…

流体动力学 · 物理学 2023-02-08 Rui Zhang , Sha Liu , Chengwen Zhong , Congshan Zhuo

Multiscale non-equilibrium physics at large variations of local Knudsen number are encountered in applications of aerospace engineering and micro-electro-mechanical systems, such as high-speed flying vehicles and low pressure of the…

流体动力学 · 物理学 2023-12-06 Yufeng Wei , Wenpei Long , Kun Xu

Recently, the discrete unified gas-kinetic scheme (DUGKS) [Z. L. Guo \emph{et al}., Phys. Rev. E ${\bf 88}$, 033305 (2013)] based on the Boltzmann equation is developed as a new multiscale kinetic method for isothermal flows. In this paper,…

计算物理 · 物理学 2014-12-10 Peng Wang , Shi Tao , Zhaoli Guo

The gas-kinetic scheme(GKS) is a promising computational fluid dynamics (CFD) method for solving the Navier-Stokes equations. It is based on the analytical solution of the BGK equation, which enables accurate and robust simulations. While…

流体动力学 · 物理学 2025-08-12 Yue Zhang , Xing Ji , Kun Xu

With a noticeable increase in research centered on modeling micro fluid interfaces in the framework of mesoscopic methods, we conduct an exhaustive study of discrete unified gas-kinetics scheme (DUGKS) in handling complicated interface…

计算物理 · 物理学 2020-07-16 Zeren Yand , Chengwen Zhong , Congshan Zhuo

This study presents an efficient and accurate discrete adjoint gas-kinetic scheme (GKS) for sensitivity analysis and aerodynamic shape optimization in continuum flow regimes. Developed using the backward mode of algorithmic differentiation…

流体动力学 · 物理学 2026-04-17 Hangkong Wu , Yuze Zhu , Yajun Zhu , Kun Xu

For the simulations of unsteady flow, the global time step becomes really small with a large variation of local cell size. In this paper, an implicit high-order gas-kinetic scheme (HGKS) is developed to remove the restrictions on the time…

数值分析 · 数学 2024-03-04 Yaqing Yang , Liang Pan , Kun Xu

The unified gas-kinetic scheme (UGKS) provides a framework for simulating multiscale transport with the updates of both gas distribution function and macroscopic flow variables on the cell size and time step scales. The multiscale dynamics…

数值分析 · 数学 2018-11-20 Chang Liu , Yajun Zhu , Kun Xu

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

The unified gas-kinetic scheme (UGKS) is a direct modeling method for multiple scale transports. The modeling scale of the scheme is the mesh size and time step, and the ratios of the mesh size over particle mean free path or the time step…

计算物理 · 物理学 2019-05-01 Yajun Zhu , Chengwen Zhong , Kun Xu