TRIANGULAR MESH DIFFERENCE SCHEMES FOR THE TRANSPORT EQUATION.
Los Alamos Scientific Lab., N. Mex. Indiana Univ., Bloomington. Dept. of Physics (US), W Reed · 1971
Present transport codes require that the physical system be described by an orthogonal mesh.This restric tion leads to the simplest difference schemes but may re quire that an excessive number of mesh points be used to describe adequately a complicated system.Triangular mesh difference schemes for the transport equation are discussed in this report.These schemes preserve the simplicity of difference schemes on an orthogonal mesh yet permit a much finer representation of complicated geometries, for a given number of mesh cells.Solution of the triangular mesh difference equations is discussed, and the truncation error of these equations is derived.I.