@Article{AAMM-8-6,
author = {Yang, M., L. and Shu, C. and Wu, J.},
title = {A Hybrid Lattice Boltzmann Flux Solver for Simulation of Viscous Compressible Flows},
journal = {Advances in Applied Mathematics and Mechanics},
year = {2016},
volume = {8},
number = {6},
pages = {887--910},
abstract = {<p style="text-align: justify;">In this paper, a hybrid lattice Boltzmann flux solver (LBFS) is proposed for
simulation of viscous compressible flows. In the solver, the finite volume method is
applied to solve the Navier-Stokes equations. Different from conventional Navier-Stokes
solvers, in this work, the inviscid flux across the cell interface is evaluated by
local reconstruction of solution using one-dimensional lattice Boltzmann model, while
the viscous flux is still approximated by conventional smooth function approximation.
The present work overcomes the two major drawbacks of existing LBFS [28–31], which
is used for simulation of inviscid flows. The first one is its ability to simulate viscous
flows by including evaluation of viscous flux. The second one is its ability to effectively
capture both strong shock waves and thin boundary layers through introduction of a
switch function for evaluation of inviscid flux, which takes a value close to zero in
the boundary layer and one around the strong shock wave. Numerical experiments
demonstrate that the present solver can accurately and effectively simulate hypersonic
viscous flows.</p>},
issn = {2075-1354},
doi = {https://doi.org/10.4208/aamm.2015.m1172},
url = {https://global-sci.com/article/73366/a-hybrid-lattice-boltzmann-flux-solver-for-simulation-of-viscous-compressible-flows}
}