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- W2319238842 abstract "This paper involves the study of the statistical solution of the BGK equation of two simple viscous uid o w problems: o w over a at plate and a planar Couette o w. Both of the problems have been studied using DSMC method and the statistical solution of the BGK and ES-BGK equations. The rst problem involves supersonic o w (M=3) of argon gas over a at plate assuming adiabatic and isothermal boundary conditions and the second problem of planar Couette o w problem involves a gas conned between two parallel plates moving relative to each other. These types of o ws are commonly found in microuidic applications. For both of the problems, the BGK and ES-BGK solutions are compared with the exact, well known DSMC method as well as theoretical solutions that include velocity slip and temperature jump boundary conditions. It was found that the solutions obtained by the statistical BGK and ES-BGK methods agree well with the theoretical and the benchmark DSMC solutions. In addition, the statistical BGK and ES-BGK methods are shown to be numerically more ecien t than the DSMC method. For both of the problems, the statistical ES-BGK solutions are shown to be in better agreement with the analytical and the benchmark DSMC solutions than the BGK ones. For the planar Couette o w problem, it will be shown that a theoretical solution for incompressible, argon, transitional o w (Knudsen number = 0.01) remains valid beyond the applicability ranges suggested in the original work." @default.
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- W2319238842 date "2009-06-14" @default.
- W2319238842 modified "2023-09-25" @default.
- W2319238842 title "Comparison of Statistical BGK and DSMC Methods with Theoretical Solutions for Two Classical Fluid Flow Problems" @default.
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- W2319238842 doi "https://doi.org/10.2514/6.2009-3740" @default.
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