A coupled discrete unified gas-kinetic scheme for Boussinesq flows
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Cites background or methods from "A coupled discrete unified gas-kine..."
...Generally, for flows without solid boundaries, for example the decaying turbulent flow, the accuracy of standard LBM is slightly higher than the DUGKS [32], while for flows involving solid boundaries, the DUGKS is even more accurate than the standard LBM [28,33]....
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...In fact, several comparative studies of the standard LBM and DUGKS have been preformed systematically for laminar flows [28,31], turbulent flows [32,33], and natural convection flows [29] in previous work....
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...Many kinetic methods have been recently utilized to simulate NCF problem, such as the lattice Boltzmann methods (LBM) [15–23] and the gas-kinetic scheme [24]....
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...Some FV based LBM have been also developed in the past decades, but it has been demonstrated that the DUGKS is obviously superior to the current best FV-LBM [35] in terms of accuracy and numerical stability [31]....
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...But benefiting from the FV nature, non-uniform meshes can be easily employed without loss of accuracy and additional efforts in DUGKS, and its efficiency can be significantly improved by employing a non-uniform mesh according to the local accuracy requirement [28,29,32]....
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References
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"A coupled discrete unified gas-kine..." refers methods in this paper
...Up to date, a variety of kinetic methods have been proposed, such as the lattice gas cellular automata (LGCA) [1], the lattice Boltzmann equation (LBE) [2, 3], the gas-kinetic scheme (GKS) [4, 5, 6, 7], and the smoothed particle hydrodynamics(SPH) [8], among which the GKS and LBE are specifically designed for CFD....
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"A coupled discrete unified gas-kine..." refers background or methods in this paper
...Such strategy has been adopted in both GKS and LBE methods [11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21]....
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...Later both schemes are extended to low speed thermal flows [11, 12, 13, 14, 15, 16]....
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...The simulation results by the theoretical analysis [27], the original GKS [12], and the LBE method [16] are also included ....
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...Also included are the results given by theoretical analysis [27], the original GKS [12], and the LBE [16]....
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