Title: Solution to the relaxation problem for a gas with a distribution function dependent on the velocity modulus,
Abstract: The paper presents a solution to the Boltzmann kinetic equation based on the
construction of its discrete conservative model. Discrete analogue of the
collision integral is presented as a contraction of a tensor, which is
independent from the initial distribution function, colliding with a tensor
composed of medium densities in the cells. Numerical implementation of the
discrete model is demonstrated on the example of the isotropic gas relaxation
problem applied to the hard spheres model. The key feature of the method is
independence of the collision tensor components from the distribution function.
Consequently the components of the collision tensor are calculated once for
various initial distribution functions, which substantially increases
performance of the suggested method.