Rarefied flow computations using nonlinear model Boltzmann equations
Journal of Computational Physics
Kinetic schemes and boundary conditions for moment equations
Zeitschrift für Angewandte Mathematik und Physik (ZAMP)
Handbook of Mathematical Functions, With Formulas, Graphs, and Mathematical Tables,
Handbook of Mathematical Functions, With Formulas, Graphs, and Mathematical Tables,
Journal of Computational Physics
Boundary conditions for regularized 13-moment-equations for micro-channel-flows
Journal of Computational Physics
Numerical Regularized Moment Method of Arbitrary Order for Boltzmann-BGK Equation
SIAM Journal on Scientific Computing
An Efficient NRxx Method for Boltzmann-BGK Equation
Journal of Scientific Computing
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In this paper, we propose a method to simulate the microflows with Shakhov model using the NR$xx$ method developed in [Z. Cai and R. Li, SIAM J. Sci. Comput., 32 (2010), pp. 2875-2907; Z. Cai, R. Li, and Y. Wang, Commun. Comput. Phys., 11 (2012), pp. 1415-1438; Z. Cai, R. Li, and Y. Wang, J. Sci. Comput., to appear]. The equation under consideration is the Boltzmann equation with force terms, and the Shakhov model is adopted to achieve the correct Prandtl number. As the focus of this paper, we derive a uniform framework for different order moment systems on the wall boundary conditions, which is a major difficulty in the moment methods. Numerical examples for both steady and unsteady problems are presented to show the convergence in the number of moments.