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相关论文: Unified Gas-kinetic Scheme with Multigrid Converge…

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Simulating multiscale flows with moving boundaries, such as hypersonic multi-body separation and flows in micro-electro-mechanical systems (MEMS), requires robust numerical methods that couple mesh deformation with complex flow physics.…

流体动力学 · 物理学 2026-04-14 Yue Zhang , Wenpei Long , Junzhe Cao , Kun Xu

Discrete unified gas-kinetic scheme (DUGKS) is a multi-scale numerical method for flows from continuum limit to free molecular limit, and is especially suitable for the simulation of multi-scale flows, benefiting from its multi-scale…

计算物理 · 物理学 2025-04-07 Jianfeng Chen , Sha Liu , Yong Wang , Chengwen Zhong

The discrete unified gas kinetic scheme (DUGKS) is a finite-volume scheme with discretization of particle velocity space, which combines the advantages of both lattice Boltzmann equation (LBE) method and unified gas kinetic scheme (UGKS)…

流体动力学 · 物理学 2014-11-25 Chen Wu , Baochang Shi , Zhenhua Chai , Peng Wang

A computationally accurate and efficient numerical method under a unified framework is crucial to various multi-scale scientific and engineering problems. So far, many numerical methods have encountered various challenges in efficiently…

流体动力学 · 物理学 2023-03-21 Rui Zhang , Sha Liu , Jianfeng Chen , Chengwen Zhong , Congshan Zhuo

This paper aims at the simulation of multiple scale physics in the system of radiation hydrodynamics. The system couples the fluid dynamic evolution equations with the radiative heat transfer. The coupled system is solved by the gas-kinetic…

计算物理 · 物理学 2019-09-12 Wenjun Sun , Song Jiang , Kun Xu , Guiyu Cao

In this paper, we present a unified gas-kinetic wave-particle (UGKWP) method on unstructured mesh for multiscale simulation of continuum and rarefied flow. Inheriting from the multicale transport in the unified gas-kinetic scheme (UGKS),…

计算物理 · 物理学 2021-01-26 Yajun Zhu , Chang Liu , Chengwen Zhong , 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

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) was initially designed to address multiscale challenges in rarefied gas dynamics and then extended to radiative transfert theory, as described by BGK like relaxation models. In this work, we extend its…

数值分析 · 数学 2025-07-08 Julien Mathiaud , Luc Mieussens , Nicolas Crouseilles

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 recently proposed discrete unified gas kinetic scheme (DUGKS) is a finite volume method for deterministic solution of the Boltzmann model equation with asymptotic preserving property. In DUGKS, the numerical flux of the distribution…

流体动力学 · 物理学 2015-03-26 Lianhua Zhu , Zhaoli Guo , 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 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

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

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

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

In the previous studies, the high-order gas-kinetic schemes (HGKS) have achieved successes for unsteady flows on three-dimensional unstructured meshes. In this paper, to accelerate the rate of convergence for steady flows, the implicit…

数值分析 · 数学 2024-03-05 Yaqing Yang , Liang Pan , Kun Xu

In this work, we present a unified gas-kinetic particle (UGKP) method for the simulation of multiscale photon transport. The multiscale nature of the particle method mainly comes from the recovery of the time evolution flux function in the…

计算物理 · 物理学 2018-10-16 Weiming Li , Chang Liu , Yajun Zhu , Jiwei Zhang , Kun Xu

An implicit multiscale method with multiple macroscopic prediction for steady state solutions of gas flow in all flow regimes is presented. The method is based on the finite volume discrete velocity method (DVM) framework. At the cell…

计算物理 · 物理学 2020-02-19 Ruifeng Yuan , Chengwen Zhong

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