An improved solution of electrodynamics equations for corona discharge using explicit artificial viscosity

摘要

A computational effort is undertaken to demonstrate how the numerical solution of electrodynamics equations may lead to a distorted solution. The computations are performed on geometries with circular and triangular cross sections using structured and unstructured grids. In addition, an analytical solution is presented for the circular geometry. It is demonstrated that the solution of the charge density equation suffers from dispersion errors. This leads to distorted values of charge density, which may distort the electric body forces and eventually affect the secondary flows generated by these forces. It is found that adding a judicious amount of artificial viscosity rectifies the problem.