Simulating Radiative Transfer with Filtered Spherical Harmonics
- Texas A&M University
- ORNL
This letter presents a novel application of filters to the spherical harmonics ($$P_N$$) expansion for radiative transfer problems in the high-energy-density regime. The filter, which is based on non-oscillatory spherical splines, preserves both the equilibrium diffusion limit and formal converges properties of the unfiltered expansion. Results demonstrate that solutions to the filtered $$P_N$$ equations are (i) more robust and less oscillatory than standard \Pn solutions and (ii) more accurate than discrete ordinates solutions of comparable order. The filtered $$P_7$$ solution demonstrates comparable accuracy to an implicit Monte Carlo solution for a benchmark hohlraum problem. Given the benefits of this method we believe it will enable more routine use of high-fidelity radiation-hydrodynamics calculations in the simulation of physical systems.
- Research Organization:
- Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
- Sponsoring Organization:
- USDOE Office of Science (SC)
- DOE Contract Number:
- DE-AC05-00OR22725
- OSTI ID:
- 979309
- Journal Information:
- Physics Letters A, Vol. 374, Issue 22
- Country of Publication:
- United States
- Language:
- English
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