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相关论文: High-order Gas-kinetic Schemes with Non-compact an…

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In this study, an implicit scheme for the gas-kinetic scheme (GKS) on the unstructured hybrid mesh is proposed. The Spalart-Allmaras (SA) one equation turbulence model is incorporated into the implicit gas-kinetic scheme (IGKS) to predict…

计算物理 · 物理学 2017-09-05 Dongxin Pan , Chengwen Zhong , Congshan Zhuo

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

In this paper, we intend to address the high-order gas-kinetic scheme (HGKS) in the direct numerical simulation (DNS) of compressible isotropic turbulence up to the supersonic regime. With the consideration of robustness and accuracy, the…

流体动力学 · 物理学 2019-05-13 Guiyu Cao , Liang Pan , Kun Xu

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

We present a high-order implicit large eddy simulation (ILES) approach for simulating flows at the nearly incompressible regime. Our methodology based on utilization of a nodal discontinuous Galerkin (DG) discretization of the Boltzmann…

流体动力学 · 物理学 2026-01-05 Onur Ata , Atakan Aygun , Tim Warburton , Ali Karakus

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

We present a high-order implicit large-eddy simulation (ILES) approach for simulating transitional turbulent flows. The approach consists of an Interior Embedded Discontinuous Galerkin (IEDG) method for the discretization of the…

流体动力学 · 物理学 2016-05-04 Pablo Fernandez , Ngoc-Cuong Nguyen , Xevi Roca , Jaime Peraire

This paper presents a robust and efficient very high-order scheme for compressible flow simulation, addressing critical limitations of existing high-order methods. The proposed scheme combines the compact gas-kinetic scheme (CGKS) with an…

计算物理 · 物理学 2025-09-04 Junlei Mu , Hong Zhang , Xing Ji , Yang Zhang , Gang Chen , 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

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, 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

This study presents a high-order, space-time coupled arbitrary Lagrangian Eulerian (ALE) compact gas-kinetic scheme (GKS) for the shallow water equations on moving unstructured meshes. The proposed method preserves both the geometric…

数值分析 · 数学 2025-10-17 Fengxiang Zhao , Jianping Gan , Kun XU

In this paper, we present a high-order unified gas-kinetic scheme (UGKS) using the weighted essentially non-oscillatory with adaptive-order (WENO-AO) method for spatial reconstruction and the two-stage fourth-order scheme for time…

计算物理 · 物理学 2022-12-12 Gyuha Lim , Yajun Zhu , Kun Xu

High-order Discontinuous Galerkin (DG) methods offer excellent accuracy for turbulent flow simulations, especially when implemented on GPU-oriented architectures that favor very high polynomial orders. On modern GPUs, high-order polynomial…

For the one-stage third-order gas-kinetic scheme (GKS), success applications have been achieved for the three-dimensional compressible flow computations [33]. The high-order accuracy of the scheme is obtained directly by integrating a…

数值分析 · 数学 2019-02-20 Liang Pan , Kun Xu

High-order gas-kinetic scheme (HGKS) has become a workable tool for the direct numerical simulation (DNS) of turbulence. In this paper, to accelerate the computation, HGKS is implemented with the graphical processing unit (GPU) using the…

数值分析 · 数学 2023-01-25 Yuhang Wang , Guiyu Cao , Liang Pan

In this paper, a uniformly high-order discontinuous Galerkin gas kinetic scheme (DG-HGKS) is proposed to solve the Euler equations of compressible flows. The new scheme is an extension of the one-stage compact and efficient high-order GKS…

数值分析 · 数学 2025-10-14 Mengqing Zhang , Shiyi Li , Dongmi Luo , Jianxian Qiu , Yibing Chen

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

In this paper, a compact third-order gas-kinetic scheme is proposed for the compressible Euler and Navier-Stokes equations. The main reason for the feasibility to develop such a high-order scheme with compact stencil, which involves only…

数值分析 · 数学 2023-07-19 Liang Pan , 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