Thermally induced rarefied gas flow in a three-dimensional enclosure with square cross-section

Zhu, Li-Guo; Yang, Xiaofan; Guo, Zhaoli

doi:10.1103/physrevfluids.2.123402

Cited by 10 publications

(13 citation statements)

References 44 publications

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“…For micro flows in devices without moving parts, Zhu and his colleagues studied a number of micro flows driven by temperature difference [29,30,32]. Under rarefied conditions, gas flows can be induced by nonuniform temperature fields or temperature changes at solid boundaries.…”

Section: Flows In Devices Without Moving Partsmentioning

confidence: 99%

“…Micro flows in devices with both moving parts and temperature differences were also studied, e.g., [30]. In such problems the overall flow was generated by both the forced motion of the moving part and the inhomogeneity of temperature.…”

Section: Flows In Devices With Moving Parts and Temperature Differencesmentioning

confidence: 99%

“…Even in continuum regime, the finite-volume formulation and the release of tight coupling between time step and mesh size make the DUGKS a competitive tool in comparison with LBE. With these nice properties, the DUGKS has been successfully applied to a variety of flow problems in different flow regimes, such as turbulent flows [26][27][28], micro flows [29][30][31][32], compressible flows [33][34][35], multiphase flows [36,37], gas-solid flows [38,39], and gas mixture systems [40,41]. Besides flow problems, the DUGKS was also extended to multiscale transport problems such as phonon heat transfer [42][43][44] and radiation of photons [45,46].…”

Section: Introductionmentioning

confidence: 99%

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Progress of discrete unified gas-kinetic scheme for multiscale flows

Guo

2021

Adv. Aerodyn.

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Multiscale gas flows appear in many fields and have received particular attention in recent years. It is challenging to model and simulate such processes due to the large span of temporal and spatial scales. The discrete unified gas kinetic scheme (DUGKS) is a recently developed numerical approach for simulating multiscale flows based on kinetic models. The finite-volume DUGKS differs from the classical kinetic methods in the modeling of gas evolution and the reconstruction of interface flux. Particularly, the distribution function at a cell interface is reconstructed from the characteristic solution of the kinetic equation in space and time, such that the particle transport and collision effects are coupled, accumulated, and evaluated in a numerical time step scale. Consequently, the cell size and time step of DUGKS are not passively limited by the particle mean-free-path and relaxation time. As a result, the DUGKS can capture the flow behaviors in all regimes without resolving the kinetic scale. Particularly, with the variation of the ratio between numerical mesh size scale and kinetic mean free path scale, the DUGKS can serve as a self-adaptive multiscale method. The DUGKS has been successfully applied to a number of flow problems with multiple flow regimes. This paper presents a brief review of the progress of this method.

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Section: Flows In Devices Without Moving Partsmentioning

confidence: 99%

Section: Flows In Devices With Moving Parts and Temperature Differencesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Progress of discrete unified gas-kinetic scheme for multiscale flows

Guo

2021

Adv. Aerodyn.

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“…The parallelization in the molecular velocity space with Message Passing Interface (MPI) is straightforward in the same way as reported in Refs. [60,61]. The total memory will be increased with the number of parallel processes or threads.…”

Section: Iteration Scheme With Memory Reduction Techniquementioning

confidence: 99%

GPU acceleration of an iterative scheme for gas-kinetic model equations with memory reduction techniques

Zhu

Wang

Chen

et al. 2019

Computer Physics Communications

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This paper presents a Graphics Processing Units (GPUs) acceleration method of an iterative scheme for gas-kinetic model equations. Unlike the previous GPU parallelization of explicit kinetic schemes, this work features a fast converging iterative scheme. The memory reduction techniques in this method enable full three-dimensional (3D) solution of kinetic model equations in contemporary GPUs usually with a limited memory capacity that otherwise would need terabytes of memory. The GPU algorithm is validated against the DSMC simulation of the 3D lid-driven cavity flow and the supersonic rarefied gas flow past a cube with grids size up to 0.7 trillion points in the phase space. The performance of the GPU algorithm is assessed by comparing with the corresponding parallel CPU program using Message Passing Interface (MPI). The profiling on several models of GPUs shows that the algorithm has a medium to high level of utilization of the GPUs' computing and memory resources. A 190× speedup can be achieved on the Tesla K40 GPUs against a single core of Intel Xeon-E5-2680v3 CPU for the 3D lid-driven cavity flow.

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“…The advent of micro-electro-mechanical systems (MEMS) and the associated fabrication technologies has inspired a renewed impetus in understanding thermally driven flows [1][2][3][4]. Typical examples include thermal transpiration [5,6], radiometric flow [7,8] and Knudsen pumps [5,9].…”

Section: Introductionmentioning

confidence: 99%

Modelling Thermally Induced Non-Equilibrium Gas Flows by Coupling Kinetic and Extended Thermodynamic Methods

Yang

Emerson

et al. 2019

Entropy

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Thermally induced non-equilibrium gas flows have been simulated in the present study by coupling kinetic and extended thermodynamic methods. Three different types of thermally induced gas flows, including temperature-discontinuity- and temperature-gradient-induced flows and radiometric flow, have been explored in the transition regime. The temperature-discontinuity-induced flow case has shown that as the Knudsen number increases, the regularised 26 (R26) moment equation system will gradually loss its accuracy and validation. A coupling macro- and microscopic approach is employed to overcome these problems. The R26 moment equations are used at the macroscopic level for the bulk flow region, while the kinetic equation associated with the discrete velocity method (DVM) is applied to describe the gas close to the wall at the microscopic level, which yields a hybrid DVM/R26 approach. The numerical results have shown that the hybrid DVM/R26 method can be faithfully used for the thermally induced non-equilibrium flows. The proposed scheme not only improves the accuracy of the results in comparison with the R26 equations, but also extends their capability with a wider range of Knudsen numbers. In addition, the hybrid scheme is able to reduce the computational memory and time cost compared to the DVM.

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Thermally induced rarefied gas flow in a three-dimensional enclosure with square cross-section

Cited by 10 publications

References 44 publications

Progress of discrete unified gas-kinetic scheme for multiscale flows

Progress of discrete unified gas-kinetic scheme for multiscale flows

GPU acceleration of an iterative scheme for gas-kinetic model equations with memory reduction techniques

Modelling Thermally Induced Non-Equilibrium Gas Flows by Coupling Kinetic and Extended Thermodynamic Methods

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