A double-distribution-function lattice Boltzmann model for high-speed compressible viscous flows

Qiu, Ruofan; Zhu, Chengxiang; Chen, Rong-Qian; Zhu, Jianfeng; You, Yancheng

doi:10.1016/j.compfluid.2018.01.039

Cited by 15 publications

(12 citation statements)

References 39 publications

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“…The number of discrete velocities of the standard lattices is too low to reproduce all the moments required for obtaining the full compressible Navier-Stokes-Fourier (NSF) equations [11]. Increasing the number of discrete velocities and using high-order (multispeed) lattice models is a systematic approach to circumvent these limitations and simulate high-speed compressible flows [12][13][14][15]. However, apart from increased computational cost, a limited temperature range is another restriction of high-order lattices [16].…”

Section: Introductionmentioning

confidence: 99%

Semi-Lagrangian lattice Boltzmann model for compressible flows on unstructured meshes

2020

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Compressible lattice Boltzmann model on standard lattices [M. H. Saadat, F. Bösch, and I. V. Karlin, Phys. Rev. E 99, 013306 (2019).] is extended to deal with complex flows on unstructured grid. Semi-Lagrangian propagation [A. Krämer et al., Phys. Rev. E 95, 023305 (2017).] is performed on an unstructured second-order accurate finite-element mesh and a consistent wall boundary condition is implemented which makes it possible to simulate compressible flows over complex geometries. The model is validated through simulation of Sod shock tube, subsonic and supersonic flow over NACA0012 airfoil and shock-vortex interaction in Schardin's problem. Numerical results demonstrate that the present model on standard lattices is able to simulate compressible flows involving shock waves on unstructured meshes with good accuracy and without using any artificial dissipation or limiter.

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Section: Introductionmentioning

confidence: 99%

Semi-Lagrangian lattice Boltzmann model for compressible flows on unstructured meshes

2020

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“…Comparisons with experimental data have been made and the dependences of the average Nusselt number on the Rayleigh number have been established. Qiu et al (2018) considered DDF approach for modeling intensive flows of high velocities. For this purpose, the authors have used a non-standard cell D2Q17 and shown an efficiency and higher accuracy compared to the classical DDF approach.…”

Section: Introductionmentioning

confidence: 99%

Comparative analysis of the lattice Boltzmann method and the finite difference technique of thermal convection in closed domains with heaters

Gibanov

Rashidi

Sheremet

2022

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Purpose The purpose of this paper is to investigate numerically thermal convection heat transfer in closed square and cubical cavities with local energy sources of various geometric shapes. Design/methodology/approach The analyzed regions are square and cubical cavities with two isothermally cold opposite vertical walls, whereas other walls are adiabatic. A local energy element of rectangular, trapezoidal or triangular shape is placed on the lower surface of the cabinet. The lattice Boltzmann technique has been used as the main method for the problem solution in two-dimensional (2D) and three-dimensional (3D) formulations, whereas the finite difference technique with non-primitive parameters such as stream function and vorticity has been also used. Findings The velocity and temperature fields for a huge range of Rayleigh number 104–106, as well as for various geometry shapes of the heater have been studied. A comparative analysis of the results obtained on the basis of two numerical techniques for 2D and 3D formulations has been performed. The dependences of the energy transfer strength in the region on the shape of energy source and Rayleigh number have been established. It has been revealed that the triangular shape of the energy source corresponds to the maximum values of the velocity vector and temperature within the cavity, and the rectangular shape corresponds to the minimum values of these mentioned variables. With the growth of the Rayleigh number, the difference in the values of these mentioned variables for rectangular and triangular shapes of heaters also increases. Originality/value The originality of this work is to scrutinize the lattice Boltzmann method and finite difference method for the problem of natural convection in 2D and 3D closed chambers with a local heated element.

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“…18,19,[21][22][23] ), or building a synthetic collision model that explicitly enforces some constrains (usually solving a nonlinear problem at every grid point and time step), e.g. 11,12,[14][15][16]20,29,30 . It is worth noting that in the former case, many authors refer to conservativity error as Galilean invariance error or symmetry-breaking errors, since the error scales as a power of the velocity.…”

Section: Introductionmentioning

confidence: 99%

Toward fully conservative hybrid lattice Boltzmann methods for compressible flows

et al. 2020

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This article presents a new numerical scheme designed to solve for any scalar equation coupled with a Lattice-Boltzmann solver (in so-called hybrid methods). Its most direct application is to solve an energy equation, in parallel with a Lattice-Boltzmann solver dealing with mass and momentum conservation.The numerical scheme is specifically designed to compute the energy flux consistently with the mass and momentum flux (as is done, for instance, using Riemann solvers).This scheme effectively lifts a major limitation of current compressible hybrid Lattice-Boltzmann, in which the energy conservation is tackled under nonconservative form, leading to discretization errors on jump conditions across shocks.Combined with our recently presented pressure-based solver [G. Farag et al, Physics of Fluids, vol. 32, no. 6, p. 066106, (2020)], the resulting hybrid Lattice-Boltzmann scheme is, to the authors' knowledge, the first to numerically conserve simultaneously mass, momentum and total energy.

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A double-distribution-function lattice Boltzmann model for high-speed compressible viscous flows

Cited by 15 publications

References 39 publications

Semi-Lagrangian lattice Boltzmann model for compressible flows on unstructured meshes

Semi-Lagrangian lattice Boltzmann model for compressible flows on unstructured meshes

Comparative analysis of the lattice Boltzmann method and the finite difference technique of thermal convection in closed domains with heaters

Toward fully conservative hybrid lattice Boltzmann methods for compressible flows

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