Phase-field method based on discrete unified gas-kinetic scheme for large-density-ratio two-phase flows

Yang, Zeren; Zhong, Chengwen; Zhuo, Congshan

doi:10.1103/physreve.99.043302

Cited by 49 publications

(27 citation statements)

References 70 publications

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“…To further improve the capability in simulating two fluid flows with large density ratio, a DUGKS based on the incompressible Navier-Stokes equations coupled with a conservative Allen-Cahn phase-field model was developed in [82]. Two discrete-velocity kinetic equations in the formulation of (52) were again adopted as the starting point, but with different definitions of equilibrium distribution functions and source terms.…”

Section: Two-phase Flowsmentioning

confidence: 99%

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: Two-phase Flowsmentioning

confidence: 99%

Progress of discrete unified gas-kinetic scheme for multiscale flows

Guo

2021

Adv. Aerodyn.

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“…A simplified DUGKS was proposed recently [28]. Up to now, DUGKS has been applied to many fields, such as compressible flow [29,30], multi-phase flow [31,32], multicomponent flow [33], complex motion (with immerse boundary method) [34], radiative transfer [35], etc.…”

Section: Introductionmentioning

confidence: 99%

Large-eddy simulation of wall-bounded turbulent flow with high-order discrete unified gas-kinetic scheme

et al. 2020

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In this paper, we introduce the discrete Maxwellian equilibrium distribution function for incompressible flow and force term into the two-stage third-order Discrete Unified Gas-Kinetic Scheme (DUGKS) for simulating low-speed turbulent flows. The Wall-Adapting Local Eddy-viscosity (WALE) and Vreman sub-grid models for Large-Eddy Simulations (LES) of turbulent flows are coupled within the present framework. Meanwhile, the implicit LES are also presented to verify the effect of LES models. A parallel implementation strategy for the present framework is developed, and three canonical wall-bounded turbulent flow cases are investigated, including the fully developed turbulent channel flow at a friction Reynolds number (Re) about 180, the turbulent plane Couette flow at a friction Re number about 93 and lid-driven cubical cavity flow at a Re number of 12000. The turbulence statistics, including mean velocity, the r.m.s. fluctuations velocity, Reynolds stress, etc. are computed by the present approach. Their predictions match precisely with each other, and they are both in reasonable agreement with the benchmark data of DNS. Especially, the predicted flow physics of three-dimensional lid-driven cavity flow are consistent with the description from abundant literature. The present numerical results verify that the present two-stage third-order DUGKS-based LES method is capable for simulating inhomogeneous wall-bounded turbulent flows and getting reliable results with relatively coarse grids.

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“…An implicit DUGKS [26] for simulating of steady flow in all flow regions was constructed with an implicit macroscopic prediction technique [27]. Up to now, DUGKS has been applied to many fields, such as compressible flow [28,29], multi-phase flow [30,31], multi-component flow [32], complex motion (with immerse boundary method) [33], radiative transfer [34], etc.…”

Section: Introductionmentioning

confidence: 99%

Large-eddy Simulation of Wall-bounded Turbulent Flow with High-order Discrete Unified Gas-Kinetic Scheme

Zhang

Zhong²,

Liu

et al. 2020

Preprint

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In this paper, we introduce the incompressible discrete Maxwellian equilibrium distribution function and external forces into the two-stage third-order Discrete Unified Gas-Kinetic Scheme (DUGKS) for simulating low-speed incompressible turbulent flows with forcing term. The Wall-Adapting Local Eddy-viscosity (WALE) and Vreman sub-grid models for Large-Eddy Simulations (LES) of wall-bounded turbulent flows are coupled within the present framework. In order to simulate the three-dimensional turbulent flows associated with great computational cost, a parallel implementation strategy for the present framework is developed, and is validated by three canonical wall-bounded turbulent flows, viz., the fully developed turbulent channel flow at a friction Reynolds number (Re) about 180, the turbulent plane Couette flow at a friction Re number about 93 and three-dimensional lid-driven cubical cavity flow at a Re number of 12000. The turbulence statistics are computed by the present approach with both WALE and Vreman models, and their predictions match precisely with each other. Especially, the predicted flow physics of three-dimensional lid-driven cavity are consistent with the description from abundant literatures. While, they have small discrepancies in comparison to the Direct Numerical Simulation (DNS) due to the relatively low grid resolution. The present numerical results verify that the present two-stage third-order DUGKS-based LES method is capable for simulating inhomogeneous wall-bounded turbulent flows and getting reliable results with relatively coarse grids.

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Phase-field method based on discrete unified gas-kinetic scheme for large-density-ratio two-phase flows

Cited by 49 publications

References 70 publications

Progress of discrete unified gas-kinetic scheme for multiscale flows

Progress of discrete unified gas-kinetic scheme for multiscale flows

Large-eddy simulation of wall-bounded turbulent flow with high-order discrete unified gas-kinetic scheme

Large-eddy Simulation of Wall-bounded Turbulent Flow with High-order Discrete Unified Gas-Kinetic Scheme

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