A linear stability analysis of compressible hybrid lattice Boltzmann methods
نویسندگان
چکیده
An original spectral study of the compressible hybrid lattice Boltzmann method (HLBM) on standard is proposed. In this framework, mass and momentum equations are addressed using (LBM), while finite difference (FD) schemes solve an energy equation. Both systems coupled with each other thanks to ideal gas equation state. This work aims at answering some questions regarding numerical stability such models, which strongly depends choice parameters. To extent, several one- two-dimensional HLBM classes based different variables, formulations (primitive or conservative), collision terms scrutinized. Once appropriate corrective introduced, it shown that all continuous recover Navier-Stokes-Fourier behavior in linear approximation. However, striking differences arise between when their discrete counterparts analyzed. Multiple instability mechanisms arising relatively high Mach number pointed out two exhaustive stabilization strategies introduced: (1) decreasing time step by changing reference temperature Tr (2) introducing a controllable dissipation ? via operator. A complete parametric reveals only primitive conservative entropy found usable for applications. Finally, innovative macroscopic modal composition conducted. Through study, phenomena, referred as shear-to-entropy entropy-to-shear transfers, highlighted confirmed test cases.
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ژورنال
عنوان ژورنال: Journal of Computational Physics
سال: 2021
ISSN: ['1090-2716', '0021-9991']
DOI: https://doi.org/10.1016/j.jcp.2021.110649