Abstract
We propose a two-population lattice Boltzmann model on standard lattices for the simulation of compressible flows. The model is fully on-lattice and uses the single relaxation time Bhatnagar–Gross–Krook kinetic equations along with appropriate correction terms to recover the Navier–Stokes–Fourier equations. The accuracy and performance of the model are analyzed through simulations of compressible benchmark cases including Sod shock tube, sound generation in shock–vortex interaction, and compressible decaying turbulence in a box with eddy shocklets. It is demonstrated that the present model provides an accurate representation of compressible flows, even in the presence of turbulence and shock waves.
Highlights
The development of accurate and efficient numerical methods for the simulation of compressible fluid flows remains a highly active research field in computational fluid dynamics (CFD), and is of great importance to many natural phenomena and engineering applications
We propose a two-population lattice Boltzmann model on standard lattices for the simulation of compressible flows
It is impossible to use a grid size fine enough to resolve the physical shock structure defined by the molecular viscosity, most numerical schemes rely on some numerical dissipation to stabilize the simulation and capture the shock over a few grid points.[1,2]
Summary
The development of accurate and efficient numerical methods for the simulation of compressible fluid flows remains a highly active research field in computational fluid dynamics (CFD), and is of great importance to many natural phenomena and engineering applications. Scitation.org/journal/phf extent, they increase significantly the computational cost and suffer from a limited temperature range,[16] as well Another approach, which has received considerable attention in recent years, maintains the simplicity and efficiency of the standard lattices and employs correction terms in order to remove the aforementioned spurious terms in the stress tensor.[17,18] Due to intrinsic nonuniqueness of the correction term, different implementations exist in the literature, all recover the same equations in the hydrodynamic limit.[19,20,21] See Hosseini et al.[22] for a detailed review of different implementations.
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