Using an approximate Riemann solver with the maximum entropy closure
- Univ. of Michigan, Ann Arbor, MI (United States)
The authors briefly describe the solution of the zeroth and first moment equations of particle transport with Minerbo`s maximum entropy closure using a Riemann solver. This solver properly accounts for the direction and speed of propagation of information in this highly nonlinear hyperbolic system. While a direct iteration on the Eddington factor can become unstable and produce unphysical solutions, time-stepping to steady state with a Riemann solver has shown no such unphysical behavior. This establishes that the Minerbo closure is a useful two-moment transport approximation even in strong absorbers. It also establishes the utility of examining the hyperbolic structure of nonlinear closures and of Riemann solvers in radiation transport applications.
- OSTI ID:
- 298295
- Report Number(s):
- CONF-981106--
- Journal Information:
- Transactions of the American Nuclear Society, Journal Name: Transactions of the American Nuclear Society Vol. 79; ISSN 0003-018X; ISSN TANSAO
- Country of Publication:
- United States
- Language:
- English
Similar Records
Data-driven, structure-preserving approximations to entropy-based moment closures for kinetic equations
Stationary neutrino radiation transport by maximum entropy closure