A CELL-VERTEX FINITE VOLUME TIME DOMAIN METHOD FOR ELECTROMAGNETIC SCATTERING

A cell-vertex based flnite volume scheme is used to solve the time-dependent Maxwell's equations and predict electromagnetic scattering from perfectly conducting bodies. The scheme is based on the cell-vertex flnite volume integration method, originally proposed by Ni (1), for solution of the two dimensional unsteady Euler equations of gas dynamics. The resulting solution is second-order accurate in space and time, and requires cell based ∞uctuations to be appropriately distributed to the state vector stored at cell vertices at each time step. Results are presented for two-dimensional canonical shapes and complex three dimensional geometries. Unlike in gas dynamics, no user deflned numerical damping is required in this novel cell-vertex based flnite volume integration scheme when applied to the time-domain Maxwell's equations.