[PDF] Top 20 Accuracy analysis of high-order lattice Boltzmann models for rarefied gas flows

... that high-order LB models perform better in the transition flow ...increasing order of LB model in terms of the Hermite expansion and Gauss-Hermite quadrature will lead to more accurate ... See full document

... multi-scale gas flows, e.g. gas flows in micro/nano-fluidic devices ...rarefaction order of gas flows can be classified by the non-dimensional Knudsen num- ber, Kn, defined as the ratio of the mean ... See full document

... of gas molecules is com- parable to or even larger than the characteristic flow length H, the traditional Navier-Stokes (NS) equations derived from the continuum-fluid hypothesis fail, and the gas kinetic ... See full document

... the lattice Boltzmann method has attracted significant interest for simulating micro/nano-flows where the microscopic and macroscopic behaviors are coupled ...for gas flows over a broad ... See full document

... macroscopic models and/or numerical methods for modelling/simulation of rarefied gas flows in complex ...numerical analysis, we have shown that the Navier–Stokes equations with the ... See full document

... our high-order model given in ...linearized Boltzmann equation obtained by Ohwada et ...the Boltzmann equation at a fraction of the computational ... See full document

... LBE models offers an effective approach for the simulation of nonisothermal rarefied gas flow in micro- and nano-scale ...qualitative accuracy comparable to DSMC ...pressure-driven ... See full document

... The gas flow between two concentric rotating cylinders is considered in order to investigate non-equilibrium effects associated with the Knudsen layers over curved ...theoretical models are explored ... See full document

... In order to obtain reasonable approximation of the Boltzmann equation, the full collision inte- gral I is commonly simplified by a relaxation-time collision model, ...The Boltzmann model equations ... See full document

... of gas molecule/surface col- ...LB models for simulating non-equilibrium flows with a broad range of Knudsen numbers [19, ...LB models can be derived systemati- cally from the BGK equation, so that LB ... See full document

... for flows at finite Knudsen numbers in [20]; therefore, they pro- posed models based on slip, reflection and accomodation ...number flows within the context of Lattice Boltzmann ... See full document

... of lattice Boltzmann method has been growing continuously in the last 30 ...the lattice gas automata (LGA), which can be seen as a simplified, fictitious version of Molecular Dynamics model ... See full document

... the Boltzmann equa- tion are too computationally expensive and impractical for applications where the microscopic details are not re- ...involving high order terms of Knud- sen number which leads to ... See full document

... a high Reynolds number flow, the unresolved small scale effects on large scale dynamic should be added, otherwise the results will be ...In order to extend the LBM to include small scale dynamics for ... See full document

... non-equilibrium gas dynamics beyond the NS level, high-order LB models have been proposed [21, ...the high- order LB models can enhance performance and capture nonlinear ... See full document

... ponent flows for a broad range of viscosity ...gradient models, this method uses a collision operator that is a combination of three separate parts, namely the single-component collision operator, pertur- ... See full document

... Solid symbols represent the analyti al solution of the Navier-Stokes equation with Cer ignani's se ond-order slip boundary ondition [23℄ while lines represent the present LBE results.. N[r] ... See full document

... the gas density value. At low-density/high-Kn cases, as the total number of molecules are less, the number of cells in the periodic boundaries directions are accordingly decreased, so that there are at ... See full document

... a lattice Boltzmann color-gradient model for immiscible ternary fluid flows, which is applicable to the fluids with a full range of interfacial tensions, es- pecially in near-critical and critical ... See full document

... Time Lattice Boltzmann method is implemented to study lighter droplets rising in a heavier ...that Lattice Boltzmann method could be an effective computational fluid dynamics (CFD) tool to ... See full document