Large-eddy lattice-Boltzmann modeling of transonic flows

Abstract

A D3Q19 Hybrid Recursive Regularized Pressure based Lattice Boltzmann Method (HRR-P LBM) is assessed for the simulation of complex transonic flows. Mass and momentum conservation equations are resolved through a classical LBM solver coupled with a finite volume resolution of entropy equation for a complete compressible solver preserving stability, accuracy and computational costs. An efficient treatment for wall and open boundaries is coupled with a grid refinement technique and extended to the HRR-P LBM in the scope of compressible aerodynamics. A Vreman subgrid turbulence model and an improved coupling of immersed boundary method with turbulence wall model on Cartesian grid accounts for unresolved scales by Large-Eddy Simulation (LES). The validity of the present method for transonic applications is investigated through various test cases with increasing complexity starting from an inviscid flow over a 10% bump and ending with a turbulent flow over a ONERA M6 three-dimensional wing.

Restoring the conservativity of characteristic-based segregated models: Application to the hybrid lattice Boltzmann method

“…The algorithms proposed in the present work are very similar to previous hybrid LB models coupled with an entropy equation, especially those introduced by Farag et al 49,50 . To this extent, they share the ability of the hybrid LBM to deal with complex geometries thanks to the use of immersed-like boundary conditions 55 , and the easy parallelization is preserved since the spatial stencil is not modified. As a matter of fact, the only drawback of this new conservative approach, compared to former non-conservative hybrid methods, relies in the additional computational cost induced by the correction terms appearing in the total energy scheme.…”

“…The order of accuracy of the advection equation discretization can be further increased with a so-called MUSCL-Hancock scheme 53,65 . Such a strategy has been successfully employed to couple an entropy scheme with the LBM 49,50,55 . In this scheme, the inter-cell flux can be constructed as:…”

“…Its smart discretization allows an independent control of entropic phenomena without degrading the stability and accuracy of the LBM, which entirely deals with isentropic phenomena such as acoustic and vorticity propagation. This technique has recently extended the applicability of hybrid LBM to transonic and supersonic flows 47,54,55 . However, for these applications, a new concern can be raised: the conservativity of the model.…”

Lattice-Boltzmann modeling of the quiet and unstable PRECCINSTA burner modes

“…Initially designed for isothermal flow with constant sound speed [5][6][7][8], adjustments for thermal and compressible flows were proposed in the past years [9][10][11][12][13][14] with undeniable success. The most recent applications of such models include simulations of supersonic cavities presented by Singh et al [15], large eddy simulations of thermal impinging jets by Nguyen et al [16], and of a 3D wing in transonic regime by Coratger et al [17].…”

A new hybrid lattice-Boltzmann method for thermal flow simulations in low-Mach number approximation

“…Originally designed for weakly compressible isothermal approaches, many attempts have been conducted to extend LBM capabilities to deal with more complex configurations such as high subsonic and supersonic flow dynamics [14][15][16][17][18][19] , compressible thermal problems [20][21][22] , turbulent flows 23 , reactive flows 24,25 and others. For small temperature differences, thermal effects can be included using the BO approximation (see for example in litteratures [26][27][28] ) which corresponds to a decoupling model and resolves an incompressible system with a linearized buoyancy force.…”