A Numerical Method for Computing Asymptotic States and Outgoing Distributions for Kinetic Linear Half-Space Problems

TL;DR: A new fast numerical method computing the asymptotic states and outgoing distributions for a linearized BGK half-space problem is presented and relations with the so-called variational methods are discussed.

Abstract: Linear half-space problems can be used to solve domain decomposition problems between Boltzmann and aerodynamic equations. A new fast numerical method computing the asymptotic states and outgoing distributions for a linearized BGK half-space problem is presented. Relations with the so-called variational methods are discussed. In particular, we stress the connection between these methods and Chapman-Enskog type expansions.

Figures

Figure 2 : Albedo u = 0

FIGURE 8 : ASYMPTOTIC VALUE c/2

Figure 3: Albedo u = 1

FIGURE 4: ASYMPTOTIC VALUE a

FIGURE 1 : ASYMPTOTIC VALUE

FIGURE 6: ASYMPTOTIC VALUE a

Full text

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