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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 (WENO with adaptive order) scheme for reconstruction. To…

流体动力学 · 物理学 2023-04-13 Junlei Mu , Congshan Zhuo , Qingdian Zhang , Sha Liu , Chengwen Zhong

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 years. However, compared to the well known discrete ordinate…

流体动力学 · 物理学 2016-08-31 Songze Chen , Zhaoli Guo , Kun Xu

The high-order gas-kinetic scheme(HGKS) with WENO spatial reconstruction method has been extensively validated through many numerical experiments, demonstrating its superior accuracy efficiency, and robustness. Compared with WENO class…

流体动力学 · 物理学 2023-09-20 Junlei Mu , Congshan Zhuo , Qingdian Zhang , Sha Liu , Chengwen Zhong

In this paper, a unified algorithm will be proposed for the study of gas-solid particle multiphase flow. The gas-kinetic scheme (GKS) is used to simulate the continuum gas phase and the multiscale unified gas-kinetic wave-particle (UGKWP)…

计算物理 · 物理学 2023-04-10 Xiaojian Yang , Wei Shyy , Kun Xu

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

In this paper, for the first time a compact third-order gas-kinetic scheme is proposed on unstructured meshes for the compressible viscous flow computations. The possibility to de sign such a third-order compact scheme is due to the…

数值分析 · 数学 2016-06-22 Liang Pan , Kun Xu

In this paper, the high-order compact gas-kinetic scheme (CGKS) on three-dimensional hybrid unstructured mesh is further developed with the p-multigrid technique for steady-state solution acceleration. The p-multigrid strategy is a…

计算物理 · 物理学 2021-09-22 Xing Ji , Wei Shyy , Kun Xu

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

The gas dynamics under gravitational field is usually associated with the multiple scale nature due to large density variation and a wide range of local Knudsen number. It is chal- lenging to construct a reliable numerical algorithm to…

计算物理 · 物理学 2017-02-01 Tianbai Xiao , Qingdong Cai , Kun Xu

In this paper, the discontinuous Galerkin based high-order gas-kinetic schemes (DG-HGKS) are developed for the three-dimensional Euler and Navier-Stokes equations. Different from the traditional discontinuous Galerkin (DG) methods with…

数值分析 · 数学 2022-03-01 Yuhang Wang , Liang Pan

Implicit methods and GPU parallelization are two distinct yet powerful strategies for accelerating high-order CFD algorithms. However, few studies have successfully integrated both approaches within high-speed flow solvers. The core…

数值分析 · 数学 2025-09-09 Hongyu Liu , Xing Ji , Yuan Fu , Kun Xu

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

Fluid dynamic equations are valid in their respective modeling scales. With a variation of the modeling scales, theoretically there should have a continuous spectrum of fluid dynamic equations. In order to study multiscale flow evolution…

数值分析 · 数学 2017-12-21 Chang Liu , Kun Xu , Quanhua Sun , Qingdong Cai

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

Computational fluid dynamics is a direct modeling of physical laws in a discretized space. The basic physical laws include the mass, momentum and energy conservations, physically consistent transport process, and similar domain of…

流体动力学 · 物理学 2021-07-15 Fengxiang Zhao , Xing Ji , Wei Shyy , Kun Xu

A unified gas kinetic scheme (UGKS) for multi-scale and multi-component plasma transport is constructed. The current scheme is a direct modeling method, where the time evolution solutions from the Vlasov-BGK equations of electron and ion…

计算物理 · 物理学 2017-12-21 Chang Liu , Kun Xu

For the first time, the actuator line model (ALM) and the immersed boundary method (IBM) are integrated into the high-order gas-kinetic scheme (GKS) to simulate the wind turbine with the nacelle and tower. The high-order GKS is extended to…

流体动力学 · 物理学 2026-03-13 Pengyu Huo , Liang Pan , Guiyu Cao , Baoqing Meng , Baolin Tian , Yubo Huang

As an extension of previous fourth-order compact gas kinetic scheme (GKS) on structured meshes (Ji et al. 2018), this work is about the development of a third-order compact GKS on unstructured meshes for the compressible Euler and…

计算物理 · 物理学 2019-02-15 Xing Ji , Fengxiang Zhao , Wei Shyy , Kun Xu

In this paper, a unified gas-kinetic wave-particle scheme (UGKWP) for the disperse dilute gas-particle multiphase flow is proposed. The gas phase is always in the hydrodynamic regime. However, the particle phase covers different flow…

计算物理 · 物理学 2022-03-14 Xiaojian Yang , Chang Liu , Xing Ji , Wei Shyy , Kun Xu

To meet the demand for complex geometries and high resolutions of small-scale flow structures, a two-stage fourth-order subcell finite volume (SCFV) method combining the gas-kinetic solver (GKS) with subcell techniques for compressible…

数值分析 · 数学 2022-01-05 Chao Zhang , Qibing Li , Peng Song , Jiequan Li