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相关论文: A Unified Gas-kinetic Scheme for Continuum and Rar…

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This paper introduces a time-domain harmonic balance unified gas-kinetic scheme (HB-UGKS) designed to simulate temporally periodic flows across all Knudsen regimes. The harmonic balance approach reformulates the periodic problem into a…

流体动力学 · 物理学 2026-05-06 Yuze Zhu , Hangkong Wu , Yufeng Wei , Kun Xu

In this paper, we present an advanced high-order compact gas-kinetic scheme (CGKS) for 3D unstructured mixed-element meshes, augmented with a geometric multigrid technique to accelerate steady-state convergence. The scheme evolves…

计算物理 · 物理学 2024-02-06 Hongyu Liu , Xing Ji , Yunpeng Mao , Yuan Ding , Kun Xu

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

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

We show feasibility and benefits of porting an adaptive multi-scale kinetic-fluid code to CPU-GPU systems. Challenges are due to the irregular data access for adaptive Cartesian mesh, vast difference of computational cost between kinetic…

计算物理 · 物理学 2015-07-23 Sergey Zabelok , Robert Arslanbekov , Vladimir Kolobov

The M1 moment model for electronic transport is commonly used to describe non-local thermal transport effects in laser-plasma simulations. In this article, we propose a new asymptotic-preserving scheme based on the Unified Gas Kinetic…

数值分析 · 数学 2025-04-09 Jean-Luc Feugeas , Julien Mathiaud , Luc Mieussens , Thomas Vigier

The high-order gas-kinetic scheme (HGKS) has achieved success in simulating compressible flow in Cartesian mesh. To study the flow problem in general geometry, such as the flow over a wing-body configuration, the development of a…

数值分析 · 数学 2024-12-20 Liang Pan , Kun Xu

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

This work explores the capability of simulating complex fluid flows by directly solving the Boltzmann equation. Due to the high-dimensionality of the governing equation, the substantial computational cost of solving the Boltzmann equation…

流体动力学 · 物理学 2023-12-05 Tarik Dzanic , Luigi Martinelli

The gas-kinetic scheme (GKS) provides high computational efficiency and accuracy for continuum flow simulations but is unable to reliably capture rarefaction effects. In contrast, although the discrete velocity method (DVM) is better suited…

流体动力学 · 物理学 2026-05-08 Hangkong Wu , Yuze Zhu , Yajun Zhu , Kun Xu

An efficient third-order discrete unified gas kinetic scheme (DUGKS) with efficiency is presented in this work for simulating continuum and rarefied flows. By employing two-stage time-stepping scheme and the high-order DUGKS flux…

流体动力学 · 物理学 2018-02-28 Chen Wu , Chang Shu , Baochang Shi , Zhen Chen

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 class of compact higher-order gas-kinetic schemes (GKS) with spectral resolution will be presented. Based on the high-order gas evolution model in GKS, both the interface flux function and conservative flow variables can be…

计算物理 · 物理学 2019-01-03 Fengxiang Zhao , Xing Ji , Wei Shyy , Kun Xu

The Unified Gas-Kinetic Wave-Particle (UGKWP) method is constructed for partially ionized plasma (PIP). This method possesses both multiscale and unified preserving (UP) properties. The multiscale property allows the method to capture a…

计算物理 · 物理学 2024-07-12 Zhigang Pu , 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

In this paper, a physics-oriented stochastic kinetic scheme will be developed that includes random inputs from both flow and electromagnetic fields via a hybridization of stochastic Galerkin and collocation methods. Based on the BGK-type…

计算物理 · 物理学 2021-03-17 Tianbai Xiao , Martin Frank

For the two-layer shallow water equations, a high-order compact gas-kinetic scheme (GKS) on triangular mesh is proposed. The two-layer shallow water equations have complex source terms in comparison with the single layer equations. The main…

数值分析 · 数学 2023-06-08 Fengxiang Zhao , Jianping Gan , Kun Xu

The kinetic theory provides a physical basis for developing multiscal methods for gas flows covering a wide range of flow regimes. A particular challenge for kinetic schemes is whether they can capture the correct hydrodynamic behaviors of…

数值分析 · 数学 2025-08-12 Zhaoli Guo , Jiequan Li , Kun Xu

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

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