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• W2468600016 endingPage "596" @default.
• W2468600016 startingPage "569" @default.
• W2468600016 abstract "Abstract 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." @default.
• W2468600016 created "2016-07-22" @default.
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• W2468600016 creator A5042102382 @default.
• W2468600016 creator A5087599856 @default.
• W2468600016 creator A5090819151 @default.
• W2468600016 date "2015-07-21" @default.
• W2468600016 modified "2023-09-23" @default.
• W2468600016 title "Numerical Simulations of Unsteady Flows From Rarefied Transition to Continuum Using Gas-Kinetic Unified Algorithm" @default.
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• W2468600016 doi "https://doi.org/10.4208/aamm.2014.m523" @default.
• W2468600016 hasPublicationYear "2015" @default.
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