Space time CE/SE and discrete ordinate method for solving gas flows of arbitrary statistics

A novel deterministic solver for solving rarefied flow of gases of arbitrary statistics is developed based on semiclassical Boltzmann-BGK equation. The discrete ordinate method is firstly applied to discretize the velocity space resulting in a set of hyperbolic equations with source terms which are to be carried out using conservation element/solution element scheme. The method is tested on one-dimensional shock tube problems.

► An algorithm for the semi-classical-BGK equation is presented.
► The discrete ordinate method is applied to discretize the velocity space of the function.
► Second order CE/SE scheme is implemented.
► The algorithm is implemented for solving 1-D flows at very low densities.