Predicting radiative intensity in transient radiative transfer with an inhomogeneous medium by spectral element discontinuous Galerkin method

Accurate prediction of the transient radiative intensity within an inhomogeneous medium is very useful in laser pulse technology. In the present work, a spectral element discontinuous Galerkin method (SEDGM) is proposed to solve transient radiative transfer with two kinds of boundary conditions, i.e., intense diffuse irradiation and short square laser irradiation. In the solving processing, the discontinuous elements are adopted to capture the large variety of radiative intensity on the element boundary. Then, the implicit temporal differencing scheme is introduced to deal with the time discretization. Several test cases are chosen to test the accuracy of the SEDGM. Results show that: (1) the SEDGM can provide good accuracy and efficiency for transient radiative transfer in an inhomogeneous medium; (2) the SEDGM has h-p convergence characteristics. Otherwise, the angle-time distri-butions of radiative intensities at boundaries are exhibited, and the influences of pulse duration and scattering phase function are investigated.

Automated summary

In this study, a spectral element discontinuous Galerkin method (SEDGM) is proposed to solve transient radiative transfer with two types of boundary conditions. The SEDGM shows good accuracy and efficiency for transient radiative transfer in an inhomogeneous medium.