@Article{AAMM-7-5,
author = {Wu, Junlin and Zhihui, Li and Peng, Aoping and Xinyu, Jiang},
title = {Numerical Simulations of Unsteady Flows from Rarefied Transition to Continuum Using Gas-Kinetic Unified Algorithm},
journal = {Advances in Applied Mathematics and Mechanics},
year = {2015},
volume = {7},
number = {5},
pages = {569--596},
abstract = {<p style="text-align: justify;">Numerical simulations of unsteady gas flows are studied on the basis of
Gas-Kinetic Unified Algorithm (GKUA) from rarefied transition to continuum flow
regimes. Several typical examples are adopted. An unsteady flow solver is developed
by solving the Boltzmann model equations, including the Shakhov model and
the Rykov model etc. The Rykov kinetic equation involving the effect of rotational
energy can be transformed into two kinetic governing equations with inelastic and
elastic collisions by integrating the molecular velocity distribution function with the
weight factor on the energy of rotational motion. Then, the reduced velocity distribution
functions are devised to further simplify the governing equation for one- and two-dimensional
flows. The simultaneous equations are numerically solved by the discrete
velocity ordinate (DVO) method in velocity space and the finite-difference schemes in
physical space. The time-explicit operator-splitting scheme is constructed, and numerical
stability conditions to ascertain the time step are discussed. As the application
of the newly developed GKUA, several unsteady varying processes of one- and two-dimensional
flows with different Knudsen number are simulated, and the unsteady
transport phenomena and rarefied effects are revealed and analyzed. It is validated
that the GKUA solver is competent for simulations of unsteady gas dynamics covering
various flow regimes.</p>},
issn = {2075-1354},
doi = {https://doi.org/10.4208/aamm.2014.m523},
url = {https://global-sci.com/article/73411/numerical-simulations-of-unsteady-flows-from-rarefied-transition-to-continuum-using-gas-kinetic-unified-algorithm}
}