The Spherical Surface Symmetrical Equal Dividing Angular Quadrature Scheme for Discrete Ordinates Method

A new angular quadrature scheme named Spherical surface Symmetrical equal Dividing (abbreviated to SSDN) is presented. The evaluations of double moments by SSDN and other traditional quadrature sets show that the new SSDN is able to provide good accuracy and compete well with others (as for example the SN and LSN method). Radiative predictions in a black-walled rectangular enclosure containing absorbing-emitting medium indicate that, compared with SN,LSN,TN, and SRAPN, the SSDN can give higher accuracy than SN under some order numbers N. Numerical experiments demonstrate the computational economy of SSDN for some cases.