The method of spherical harmonics as applied to the one-velocity boltzmann equation in infinite cylinders

Abstract

This paper is a report on analytical work done at NDA on the spherical harmonics approximation to the one-velocity Boltzmann equation in infinite cylinders. As a result a program was devised for digital computation, the Palindrome code, written for a Datatron 205. This code is capable of solving any order spherical harmonics approximation. The complexity of calculation depends only slightly on the order of approximation. Moreover, the number of regions affect only the time and storage required.