Advantages of Analytical Transformations in Monte Carlo Methods for Radiation Transport
Monte Carlo methods for radiation transport typically attempt to solve an integral by directly sampling analog or weighted particles, which are treated as physical entities. Improvements to the methods involve better sampling, probability games or physical intuition about the problem. We show that significant improvements can be achieved by recasting the equations with an analytical transform to solve for new, non-physical entities or fields. This paper looks at one such transform, the difference formulation for thermal photon transport, showing a significant advantage for Monte Carlo solution of the equations for time dependent transport. Other related areas are discussed that may also realize significant benefits from similar analytical transformations.
- Research Organization:
- Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
- Sponsoring Organization:
- US Department of Energy (US)
- DOE Contract Number:
- W-7405-ENG-48
- OSTI ID:
- 15015946
- Report Number(s):
- UCRL-CONF-208593; TRN: US0501674
- Resource Relation:
- Conference: Presented at: The Monte Carlo Method: Versatility Unbounded In A Dynamic Computing World, Chattanooga, TN (US), 04/17/2005--04/21/2005; Other Information: PBD: 13 Dec 2004
- Country of Publication:
- United States
- Language:
- English
Similar Records
A local'' exponential transform method for global variance reduction in Monte Carlo transport problems
A kinetic theory for nonanalog Monte Carlo particle transport algorithms: Exponential transform with angular biasing in planar-geometry anisotropically scattering media