  In this paper we present a new algorithm based on a Cartesian mesh for the
numerical approximation of kinetic models on complex geometry boundary. Due to
the high dimensional property, numerical algorithms based on unstructured
meshes for a complex geometry are not appropriate. Here we propose to develop
an inverse Lax-Wendroff pro- cedure, which was recently introduced for
conservation laws [S. Tan & C.W. Shu, JCP (2010)], to the kinetic equations.
Applications in 1Dx3D and 2Dx3D of this algorithm for Boltzmann type operators
(BGK, ES-BGK models) are then presented and numerical results illustrate the
accuracy properties of this algorithm.
