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This paper presents a comprehensive numerical framework for simulating radiation-plasma systems. The radiative transfer process spans multiple flow regimes due to varying fluid opacity across different regions, necessitating a robust…

星系天体物理 · 物理学 2025-12-24 Mingyu Quan , Kun Xu

This paper presents a kinetic model for the coupled evolution of radiation, electrons, and ions in a radiation plasma system. The model is solved using two methods. The gas-kinetic scheme (GKS) for electron and ion hydrodynamics and the…

计算物理 · 物理学 2025-01-10 Mingyu Quan , Xiaojian Yang , Yufeng Wei , 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

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 flow regime of micro flow varies from collisionless regime to hydrodynamic regime according to the Knudsen number. On the kinetic scale, the dynamics of micro flow can be described by the linearized kinetic equation. In the continuum…

计算物理 · 物理学 2020-05-27 Chang Liu , Kun Xu

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

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

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

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) 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

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

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

In this paper, we extend the unified kinetic particle (UGKP) method to the frequency-dependent radiative transfer equation with both absorption-emission and scattering processes. The extended UGKP method could not only capture the diffusion…

计算物理 · 物理学 2023-02-17 Yuan Hu , Chang Liu

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 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 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

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 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

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

The unified gas kinetic scheme (UGKS) of K. Xu et al. [K. Xu and J.-C. Huang, J. Comput. Phys., 229, pp. 7747--7764, 2010], originally developed for multiscale gas dynamics problems, is applied in this paper to a linear kinetic model of…

数值分析 · 数学 2014-01-24 Luc Mieussens
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