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The stochastic particle method based on Bhatnagar-Gross-Krook (BGK) or ellipsoidal statistical BGK (ESBGK) model approximates the pairwise collisions in the Boltzmann equation using a relaxation process. Therefore, it is more efficient to…

计算物理 · 物理学 2018-08-14 Fei Fei , Jun Zhang , Jing Li , ZhaoHui Liu

Simulating hypersonic flow around a space vehicle is challenging because of the multiscale and nonequilibrium nature inherent in these flows. To effectively deal with such flows, a novel particle particle hybrid scheme combining the…

流体动力学 · 物理学 2022-10-19 Fei Fei , Yuan Hu , Patrick Jenny

Solving the Bhatnagar-Gross-Krook (BGK) equation with a stochastic particle approach enables efficient and flexible simulations of flows in the transition regime, between continuum and free molecular flow. However, the usual first-order…

流体动力学 · 物理学 2024-12-02 Marcel Pfeiffer , Félix Garmirian , Tobias Ott

The Bhatnagar-Gross-Krook (BGK) model of the Boltzmann equation allows for efficient flow simulations, especially in the transition regime between continuum and high rarefaction. However, ensuring efficient performances for multiscale…

流体动力学 · 物理学 2025-05-09 Félix Garmirian , Marcel Pfeiffer

The Bhatnagar-Gross-Krook (BGK) model as well as its extensions (ellipsoidal statistical BGK, Shakhov BGK, unified BGK) are used in particle-based fluid dynamics and compared with the Direct Simulation Monte Carlo (DSMC) method. To this…

计算物理 · 物理学 2018-10-11 M. Pfeiffer

The implementation of the ellipsoidal statistical Bhatnagar-Gross-Krook (ESBGK) method in the open-source particle code PICLas is extended for multi-species modeling of polyatomic molecules, including internal energies with multiple…

流体动力学 · 物理学 2024-11-19 Franziska Hild , Marcel Pfeiffer

Multi-species modeling is implemented for the particle-based ellipsoidal statistical Bhatnagar-Gross-Krook (ESBGK) for monatomic species in the open-source plasma simulation suite PICLas. After a literature review on available multi-species…

计算物理 · 物理学 2022-02-28 Marcel Pfeiffer , Asim Mirza , Paul Nizenkov

We propose a novel approach for modeling chemical reactions within the particle-based Fokker-Planck framework for gas flow simulations which conserves mass, momentum, and energy while retaining the performance advantages of the…

化学物理 · 物理学 2025-03-25 Leo Basov , Georgii Oblapenko , Martin Grabe

The direct simulation Monte Carlo (DSMC) method is widely used to describe rarefied gas flows. The DSMC method accounts for the transport and collisions of computational particles, resulting in higher computational costs in the continuum…

计算物理 · 物理学 2025-08-11 Joonbeom Kim , Eunji Jun

The multi-scale flow mechanism is crucial for force and heat loaded on near-space and reentry vehicles, the control of spacecraft by thrusters, the propelling and cooling of MEMS, etc. Since the continuum flow and rarefied flow often exist…

计算物理 · 物理学 2021-07-28 Sirui Yang , Sha Liu , Chengwen Zhong , Junzhe Cao , Congshan Zhuo

Kinetic models based on the Bhatnagar-Gross-Krook (BGK) framework provide an efficient alternative to the Boltzmann equation for rarefied gas flows; however, existing formulations for gas mixtures remain limited in representing…

流体动力学 · 物理学 2026-04-28 Inchan Kim , Joonbeom Kim , Woonghwi Park , Eunji Jun

This paper presents second-order accurate genuine BGK (Bhatnagar-Gross-Krook) schemes in the framework of finite volume method for the ultra-relativistic flows. Different from the existing kinetic flux-vector splitting (KFVS) or BGK-type…

数值分析 · 数学 2017-09-13 Yaping Chen , Yangyu Kuang , Huazhong Tang

Accurate prediction of rarefied gas flows is important for space vehicle design, particularly in rarefied regimes where the Navier-Stokes equations are no more valid. While the direct simulation Monte Carlo (DSMC) method acts as a numerical…

流体动力学 · 物理学 2025-07-01 Joonbeom Kim , Eunji Jun

Despite the development of an extensive toolbox of multi-scale rarefied flow simulators, such simulations remain challenging due to the significant disparity of collisional and macroscopic spatio-temporal scales. Our study offers a novel…

流体动力学 · 物理学 2022-08-17 Marcel Pfeiffer , Félix Garmirian , M. Hossein Gorji

The implementation of the Shakhov Bhatnagar-Gross-Krook (SBGK) method in the open-source particle code PICLas is extended for modeling of polyatomic molecules, as well as mixtures including atoms and molecules, while accounting for…

流体动力学 · 物理学 2026-04-03 Marcel Pfeiffer , Franziska Tuttas

While accurate simulations of dense gas flows far from the equilibrium can be achieved by Direct Simulation adapted to the Enskog equation, the significant computational demand required for collisions appears as a major constraint. In order…

计算物理 · 物理学 2023-08-11 Mohsen Sadr , M. Hossein Gorji

The Fokker-Planck (FP) particle method accelerates rarefied-gas simulations by replacing the binary collisions of the commonly used Direct Simulation Monte Carlo (DSMC) method with a drift=diffusion process. Like all particle methods, the…

数值分析 · 数学 2026-01-22 Lukas Netterdon , Veronica Montanaro , Manuel Torrilhon , Hossein Gorji

Recently, the DSBGK method (note: the original name DS-BGK is changed to DSBGK for simplicity) was proposed based on the BGK equation to reduce the stochastic noise in simulating rarefied gas flows at low velocity, in which the deviation…

计算物理 · 物理学 2012-07-05 Jun Li

For increasingly rarefied flowfields, the Navier-Stokes (NS) equations lose accuracy partially due to the single temperature approximation. To overcome this barrier, a continuum multi-temperature model based on the Bhatnagar-Gross-Krook…

流体动力学 · 物理学 2018-10-12 Guiyu Cao , Hualin Liu , Kun Xu

The particle-based ellipsoidal statistical Bhatnagar-Gross-Krook (ESBGK) model is extended to diatomic molecules and compared with the Direct Simulation Monte Carlo (DSMC) method. For this an efficient method is developed that optionally…

计算物理 · 物理学 2018-11-09 Marcel Pfeiffer
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