Hybrid recursive regularized thermal lattice Boltzmann model for high subsonic compressible flows

Feng, Ying; Boivin, Pierre; Jacob, Jérôme; Sagaut, Pierre

doi:10.1016/j.jcp.2019.05.031

Cited by 107 publications

(155 citation statements)

References 44 publications

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“…Considering that the third-order equilibrium distribution function and recursive regularized collision model exhibit considerably better performance on numerical stability and accuracy compared to the original LBGK model [17,[45][46][47][48][49], a recursive regularized collision model associated with the third-order equilibrium distribution function is employed as the collision model. The lattice Boltzmann equation Eq.…”

Section: The Recursive Regularized Lattice-boltzmann Solvermentioning

confidence: 99%

Hybrid recursive regularized lattice Boltzmann simulation of humid air with application to meteorological flows

et al. 2019

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An extended version of the hybrid recursive regularized Lattice-Boltzmann model which incorporates external force is developed to simulate humid air flows with phase change mechanisms under the Boussinesq approximation. Mass and momentum conservation equations are solved by a regularized lattice Boltzmann approach well suited for high Reynolds number flows, whereas the energy and humidity related equations are solved by a finite volume approach. Two options are investigated to account for cloud formation in atmospheric flow simulations. The first option considers a single conservation equation for total water and an appropriate invariant variable of temperature. In the other approach, liquid and vapor are considered via two separated equations, and phase transition is accounted for via a relaxation procedure. The obtained models are then systematically validated on four well-established benchmark problems including a double diffusive Rayleigh Bénard convection of humid air, 2D and 3D thermal moist rising bubble under convective atmospheric environment as well as a shallow cumulus convection in framework of large-eddy simulation.

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Section: The Recursive Regularized Lattice-boltzmann Solvermentioning

confidence: 99%

Hybrid recursive regularized lattice Boltzmann simulation of humid air with application to meteorological flows

et al. 2019

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“…However, apart from increased computational cost, a limited temperature range is another restriction of high-order lattices [16]. Several models have also been proposed in the literature based on standard lattices [17][18][19][20][21] for simulation of compressible flows; however, to the best of our knowledge, none of them were so far successful in simulating supersonic flows involving shock waves.…”

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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“…The first-order nonequilibrium contributions f (1) α can be computed via projection onto the Hermite polynomial basis and/or the CE expansion [8,39]. The latter approach, more commonly referred to as recursive regularized (RR) LBM, leads to pronounced stability improvements for high-Reynolds-number flows in both weakly and fully compressible regimes [9,14,[39][40][41][42][43].…”

Section: Introductionmentioning

confidence: 99%

Extensive analysis of the lattice Boltzmann method on shifted stencils

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Standard lattice Boltzmann methods (LBMs) are based on a symmetric discretization of the phase space, which amounts to study the evolution of particle distribution functions (PDFs) in a reference frame at rest. This choice induces a number of limitations when the simulated flow speed gets closer to the sound speed, such as velocity-dependent transport coefficients. The latter issue is usually referred to as a Galilean invariance defect. To restore the Galilean invariance of LBMs, it was proposed to study the evolution of PDFs in a comoving reference frame by relying on asymmetric shifted lattices [N. Frapolli, S. S. Chikatamarla, and I. V. Karlin, Phys. Rev. Lett. 117, 010604 (2016)]. From the numerical viewpoint, this corresponds to overcoming the rather restrictive Courant-Friedrichs-Lewy conditions on standard LBMs and modeling compressible flows while keeping memory consumption and processing costs to a minimum (therefore using the standard first-neighbor stencils). In the present work systematic physical error evaluations and stability analyses are conducted for different discrete equilibrium distribution functions (EDFs) and collision models. Thanks to them, it is possible to (1) better understand the effect of this solution on both physics and stability, (2) assess its viability as a way to extend the validity range of LBMs, and (3) quantify the importance of the reference state as compared to other parameters such as the equilibrium state and equilibration path. The results clearly show that, in theory, the concept of shifted lattices allows the scheme to deal with arbitrarily high values of the nondimensional velocity. Furthermore, just like the zero-Mach flow for the standard stencils, it is observed that setting the shift velocity to the fluid velocity results in optimal physical and numerical properties. In addition, a detailed analysis of the obtained results shows that the properties of different collision models and EDFs remain unchanged under the shift of stencil. In other words, by introducing a velocity shift in the stencil, the optimal operating point, in terms of physics and numerics, will also be shifted by the same vector regardless of the EDF or collision model considered. Eventually, while limited to the D2Q9 stencil with the nine possible first-neighbor shifts, the present study and corresponding conclusions can be extended to other stencils and velocity shifts in a straightforward manner.

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Hybrid recursive regularized thermal lattice Boltzmann model for high subsonic compressible flows

Cited by 107 publications

References 44 publications

Hybrid recursive regularized lattice Boltzmann simulation of humid air with application to meteorological flows

Hybrid recursive regularized lattice Boltzmann simulation of humid air with application to meteorological flows

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

Extensive analysis of the lattice Boltzmann method on shifted stencils

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