Numerical simulation of distributed parameter processes using Cartesian, spherical, cylindrical and spiral coordinates

Abstract

In this paper is presented a method for the numerical simulation of the distributed parameter processes, based on the matrix of partial derivatives of the state vector (Mpdx), associated with Taylor series. Depending on the process type, the numerical simulation algorithm can be run using Cartesian coordinates, spherical coordinates, cylindrical coordinates or spiral coordinates. Direct applications of this method are the modeling-simulation and control of the technical processes from the isotope separation domain.