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The numerical simulation of rarefied gas mixtures with disparate mass and concentration is a huge research challenge. Based on our recent kinetic modelling for monatomic gas mixture flows, this problem is tackled by the general synthetic…

Computational Physics · Physics 2024-05-03 Jianan Zeng , Qi Li , Lei Wu

Heat-flux boundary conditions are challenging to implement efficiently in rarefied gas flow simulations because the wall-reflected gas temperature and density must be determined dynamically during the computation. This paper aims to tackle…

Computational Physics · Physics 2026-01-21 Yanbing Zhang , Ruifeng Yuan , Liyan Luo , Lei Wu

Recently, the general synthetic iterative scheme (GSIS) has been proposed to find the steady-state solution of the Boltzmann equation in the whole range of gas rarefaction, where its fast-converging and asymptotic-preserving properties lead…

Fluid Dynamics · Physics 2024-04-17 Yanbing Zhang , Jianan Zeng , Ruifeng Yuan , Wei Liu , Qi Li , Lei Wu

The recently-developed general synthetic iterative scheme (GSIS) is efficient in simulating multiscale rarefied gas flows due to the coupling of mesoscopic kinetic equation and macroscopic synthetic equation: for linearized Poiseuille flow…

Fluid Dynamics · Physics 2023-11-07 Wei Liu , Yanbing Zhang , Jianan Zeng , Lei Wu

Oscillatory rarefied gas flows are frequently encountered in MEMS, and their efficient numerical simulation remains a major challenge due to the time dependent nature of the problem and the high dimensionality of the Boltzmann kinetic…

Computational Physics · Physics 2026-01-27 Pengshuo Li , Lei Wu

The general synthetic iteration scheme (GSIS) is extended to find the steady-state solution of nonlinear gas kinetic equation, removing the long-standing problems of slow convergence and requirement of ultra-fine grids in near-continuum…

Computational Physics · Physics 2021-02-24 Lianhua Zhu , Xingcai Pi , Wei Su , Zhi-Hui Li , Yonghao Zhang , Lei Wu

In this paper, the original discrete unified gas kinetic scheme (DUGKS) is extended to arbitrary Lagrangian-Eulerian (ALE) framework for simulating the low-speed continuum and rarefied flows with moving boundaries. For ALE method, the mesh…

Computational Physics · Physics 2020-01-08 Yong Wan , Chengwen Zhong

The parallel solver of the general synthetic iterative scheme (GSIS), as recently developed by Zhang \textit{et. al.} in Comput. Fluids 281 (2024) 106374, is an efficient method to find the solution of the Boltzmann equation…

Computational Physics · Physics 2025-01-07 Yanbing Zhang , Jianan Zeng , Lei Wu

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.…

Fluid Dynamics · Physics 2026-04-14 Yue Zhang , Wenpei Long , Junzhe Cao , Kun Xu

Adjoint based shape optimization is a powerful technique in fluid-dynamics optimization, capable of identifying an optimal shape within only dozens of design iterations. However, when extended to rarefied gas flows, the computational cost…

Computational Physics · Physics 2025-11-25 Yanbing Zhang , Ruifeng Yuan , Lei Wu

In this paper we present a novel technique for the simulation of moving boundaries and moving rigid bodies immersed in a rarefied gas using an Eulerian-Lagrangian formulation based on least square method. The rarefied gas is simulated by…

Numerical Analysis · Mathematics 2022-03-23 Sudarshan Tiwari , Axel Klar , Giovanni Russo

Simulating complex gas flows from turbulent to rarefied regimes is a long-standing challenge, since turbulence and rarefied flow represent contrasting extremes of computational aerodynamics. We propose a multiscale method to bridge this…

Fluid Dynamics · Physics 2024-08-16 Songyan Tian , Lei Wu

The general synthetic iterative scheme (GSIS) has proven its efficacy in modeling rarefied gas dynamics, where the steady-state solutions are obtained after dozens of iterations of the Boltzmann equation, with minimal numerical dissipation…

Computational Physics · Physics 2024-07-10 Liyan Luo , Lei Wu

One of the central problems in the study of rarefied gas dynamics is to find the steady-state solution of the Boltzmann equation quickly. When the Knudsen number is large, i.e. the system is highly rarefied, the conventional iteration…

Computational Physics · Physics 2020-02-19 Wei Su , Lianhua Zhu , Peng Wang , Yonghao Zhang , Lei Wu

Gas-radiation coupling critically influences hypersonic reentry flows, where extreme temperatures induce pronounced non-equilibrium gas and radiative heat transport. Accurate and efficient simulation of radiative gas dynamics is therefore…

Computational Physics · Physics 2026-01-08 Jianan Zeng , Qi Li , Yanbing Zhang , Wei Su , Lei Wu

In this paper we present a numerical scheme to simulate a moving rigid body with arbitrary shape suspended in a rarefied gas. The rarefied gas is simulated by solving the Boltzmann equation using a DSMC particle method. The motion of the…

Computational Physics · Physics 2015-06-22 Samir Shrestha , Sudarshan Tiwari , Axel Klar , Steffen Hardt

For accurate simulations of rarefied gas flows around moving obstacles, we propose a cut cell method on Cartesian grids: it allows exact conservation and accurate treatment of boundary conditions. Our approach is designed to treat Cartesian…

Numerical Analysis · Mathematics 2016-04-20 Guillaume Dechristé , Luc Mieussens

In rarefied gas flows, the spatial grid size could vary by several orders of magnitude in a single flow configuration (e.g., inside the Knudsen layer it is at the order of mean free path of gas molecules, while in the bulk region it is at a…

Fluid Dynamics · Physics 2021-04-02 Lei Wu

We present a numerical method for simulating rarefied gases that interact with moving boundaries and rigid bodies. The gas is described by the BGK equation in Lagrangian form and solved using an Arbitrary Lagrangian-Eulerian method, in…

Numerical Analysis · Mathematics 2026-04-28 Klaas Willems , Axel Klar , Giovanni Russo , Giovanni Samaey , Sudarshan Tiwari

An immersed boundary method for the fluid--structure--thermal interaction in rarefied gas flow is presented. In this method, the slip model is incorporated with the penalty immersed boundary method to address the velocity and temperature…

Fluid Dynamics · Physics 2023-05-22 Li Wang , Fang-Bao Tian , John Young
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