Regularization and Boundary Conditions for the 13 Moment Equations
نویسنده
چکیده
We summarize our recent contributions to the development of macroscopic transport equations for rarefied gas flows. A combination of the ChapmanEnskog expansion and Grad’s moment method, termed as the order of magnitude method, yields the regularized 13 moment equations (R13 equations) which are of super-Burnett order. A complete set of boundary conditions is derived from the boundary conditions of the Boltzmann equations. The R13 equations are linearly stable and their results for Knudsen numbers below 0.5 stand in excellent agreement to DSMC simulations.
منابع مشابه
H theorem, regularization, and boundary conditions for linearized 13 moment equations.
An H theorem for the linearized Grad 13 moment equations leads to regularizing constitutive equations for higher fluxes and to a complete set of boundary conditions. Solutions for Couette and Poiseuille flows show good agreement with direct simulation Monte Carlo calculations. The Knudsen minimum for the relative mass flow rate is reproduced.
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