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high-order lattice Boltzmann models

Accuracy analysis of high-order lattice Boltzmann models for rarefied gas flows

Accuracy analysis of high-order lattice Boltzmann models for rarefied gas flows

... fundamental Boltzmann equation via ei- ther a Kn-series solution (known as the Chapman-Enskog approach) or by an ex- pansion of the distribution function as a series of Hermite tensor ...proper ...

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Lattice Boltzmann models for non-equilibrium gas flows

Lattice Boltzmann models for non-equilibrium gas flows

... kinetic-based lattice Boltzmann method has recently been used to model non-equilibrium gas ...conditions, lattice Boltzmann models have been able to capture both velocity slip and ...

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Multiscale lattice Boltzmann approach to modeling gas flows

Multiscale lattice Boltzmann approach to modeling gas flows

... LB models with different discrete veloci- ties, the interface can be treated as a “virtual bound- ...lower-order models are valid, the relevant information can be obtained by using extrapolation and ...

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A lattice Boltzmann method for axisymmetric multicomponent flows with high viscosity ratio

A lattice Boltzmann method for axisymmetric multicomponent flows with high viscosity ratio

... gradient models, this method uses a collision operator that is a combination of three separate parts, namely the single-component collision operator, pertur- bation operator, and the recoloring ...In order ...

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Lattice Boltzmann modelling of immiscible two-phase flows

Lattice Boltzmann modelling of immiscible two-phase flows

... the order of the finite difference calculation which resulted in a decrease in spurious velocities near the ...of high grid refinement and high order ...achieving high-density ...in ...

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Capturing Knudsen layer phenomena using lattice Boltzmann model

Capturing Knudsen layer phenomena using lattice Boltzmann model

... In order to simulate high Kn flows, where temperature and density variations play an important role, one possible solution is to develop more advanced LBE models for the high-order ...

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Development of explicit and constitutive lattice Boltzmann
models for food product rheology

Development of explicit and constitutive lattice Boltzmann models for food product rheology

... flow. Lattice- Boltzmann methods, utilising several multi-phase models, are popular and develop- ing ...the models built upon will be detailed in Section ...in order to understand the ...

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An Improved Hydrodynamics Formulation for Multiphase Flow Lattice-Boltzmann Models

An Improved Hydrodynamics Formulation for Multiphase Flow Lattice-Boltzmann Models

... to high numerical efficiency owing to parallelization, LB methods can accommodate complex interfacial physics while still allowing time integration on the scale of mean-free time- which is two orders of magnitude ...

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Gauss-Hermite quadratures and accuracy of lattice Boltzmann models for non-equilibrium gas flows

Gauss-Hermite quadratures and accuracy of lattice Boltzmann models for non-equilibrium gas flows

... 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 models can also be considered ...

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A modified phase change pseudopotential lattice Boltzmann model

A modified phase change pseudopotential lattice Boltzmann model

... multiphase models in the lattice Boltzmann (LB) community, the pseudopoten- tial model has been the most popular approach due to its simplicity and ...change models were also proposed based on ...

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A lattice Boltzmann model for heat transfer in porous media

A lattice Boltzmann model for heat transfer in porous media

... In order to remedy this shortcoming to extend the applicable range of the LB method, in this work we propose a new and simple LB model for heat transfer in porous ...

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A lattice Boltzmann model for heat transfer in heterogeneous media

A lattice Boltzmann model for heat transfer in heterogeneous media

... LB models [21,22], they suffer a number of obvious shortcomings. In Ref.[21], to meet the conjugate heat transfer condition, a source term was designed and added to the LB evolving equation. However, the source ...

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Investigation of pore-scale random porous media using lattice boltzmann method

Investigation of pore-scale random porous media using lattice boltzmann method

... the Lattice Boltzmann method ...major models of random porous media were reconstructed by computerized tomography method: Randomly distributed rectangular obstacles in a unit-cell as two-dimensional ...

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A lattice Boltzmann method for axisymmetric thermocapillary flows

A lattice Boltzmann method for axisymmetric thermocapillary flows

... additional lattice Boltzmann equation is also introduced to describe the evolution of the axisymmetric temperature field, which is coupled to the inter- facial tension by an equation of ...

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Lattice Boltzmann simulation of nanofluid in square cavity

Lattice Boltzmann simulation of nanofluid in square cavity

... In 1990's, a new CFD method introduced to solve complex system tools which historically it's originated from lattice gas automata (LGA). This method is based on mesoscopic numerical approach which is something ...

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A comparative study of boundary conditions for lattice Boltzmann simulations of high Reynolds number flows

A comparative study of boundary conditions for lattice Boltzmann simulations of high Reynolds number flows

... the lattice Boltzmann model to be a special form of the dis- crete velocity model, the evidence here shows that it presents lit- tle difference to those specially designed boundary conditions for continuum ...

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Lattice Boltzmann method for indoor and urban flow

Lattice Boltzmann method for indoor and urban flow

... White Rose Research Online URL for this paper: http://eprints.whiterose.ac.uk/141161/ Version: Supplemental Material Conference or Workshop Item: Khan, A orcid.org/0000-0002-7521-5458 La[r] ...

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Lattice-Boltzmann simulation of free nematic-isotropic interfaces

Lattice-Boltzmann simulation of free nematic-isotropic interfaces

... of lattice Boltzmann and finite differences to simulate flat and curved interfaces between the nematic and isotropic phases of a liquid crystal described by the Landau-de Gennes ...these lattice ...

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Benchmarking of three dimensional multicomponent lattice Boltzmann equation

Benchmarking of three dimensional multicomponent lattice Boltzmann equation

... (MRT) lattice Boltzmann (LB) schemes which offer enhanced simulation stability [1], [2], [3], [4], [5], [6], [7] and [8] ...the lattice basis, as are the elements of the transforma- tion matrix ...

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Two-phase flow simulation with lattice Boltzmann method

Two-phase flow simulation with lattice Boltzmann method

... The third type of LB model for multiphase flow is based on the free-energy (FE) approach, developed by Swift et al. [7], who imposed an additional constraint on the equilibrium distribution functions. The FE model ...

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