A Nonlinear Moment Model for Radiative Transfer Equation
arXiv:2005.13142
Abstract
We derive a nonlinear moment model for radiative transfer equation in 3D space, using the method to derive the nonlinear moment model for the radiative transfer equation in slab geometry. The resulted 3D HMPN model enjoys a list of mathematical advantages, including global hyperbolicity, rotational invariance, physical wave speeds, spectral accuracy, and correct higher-order Eddington approximation. Simulation examples are presented to validate the new model numerically.
References in corpus (4)
- A New Monte Carlo Method for Time-Dependent Neutrino Radiation Transport
- Fast algorithms for integral formulations of steady-state radiative transfer equation
- A Nonlinear Three-Moment Model for Radiative Transfer in Spherical Symmetry
- A Nonlinear Hyperbolic Model for Radiative Transfer Equation in Slab Geometry