A Nonlinear Three-Moment Model for Radiative Transfer in Spherical Symmetry
arXiv:1903.05497 · doi:10.1016/j.matcom.2019.11.004
Abstract
We study the approximation of the radiative transfer equation with a relatively few moments in the spherically symmetric case. We propose a three-moment model based on choosing the beta distribution as the ansatz for the specific intensity. This ansatz enables our model to capture the anisotropy in the distribution function. The characteristic structure of the Riemann problem of the model is studied in detail. Numerical simulations demonstrate its validity in approximating the radiative transfer equation in the spherically symmetric case and its advantage in approximating highly anisotropic distribution functions in comparison to the method.
References in corpus (5)
- A New Monte Carlo Method for Time-Dependent Neutrino Radiation Transport
- Fast algorithms for integral formulations of steady-state radiative transfer equation
- Discontinuous Galerkin finite element methods for radiative transfer in spherical symmetry
- Preconditioned Bi-Conjugate Gradient Method for Radiative Transfer in Spherical Media
- A Nonlinear Moment Model for Radiative Transfer Equation in Slab Geometry