Optimal prediction for radiative transfer: A new perspective on moment closure
dc.creator | Frank, M | |
dc.creator | Seibold, B | |
dc.date.accessioned | 2021-02-04T21:41:46Z | |
dc.date.available | 2021-02-04T21:41:46Z | |
dc.date.issued | 2011-09-01 | |
dc.identifier.issn | 1937-5093 | |
dc.identifier.issn | 1937-5077 | |
dc.identifier.doi | http://dx.doi.org/10.34944/dspace/6010 | |
dc.identifier.other | 809KD (isidoc) | |
dc.identifier.uri | http://hdl.handle.net/20.500.12613/6028 | |
dc.description.abstract | Moment methods are classical approaches that approximate the mesoscopic radiative transfer equation by a system of macroscopic moment equations. An expansion in the angular variables transforms the original equation into a system of infinitely many moments. The truncation of this infinite system is the moment closure problem. Many types of closures have been presented in the literature. In this note, we demonstrate that optimal prediction, an approach originally developed to approximate the mean solution of systems of nonlinear ordinary differential equations, can be used to derive moment closures. To that end, the formalism is generalized to systems of partial differential equations. Using Gaussian measures, existing linear closures can be re-derived, such as PN, diffusion, and diffusion correction closures. This provides a new perspective on several approximations done in the process and gives rise to ideas for modifications to existing closures. © American Institute of Mathematical Sciences. | |
dc.format.extent | 717-733 | |
dc.language.iso | en | |
dc.relation.haspart | Kinetic and Related Models | |
dc.relation.isreferencedby | American Institute of Mathematical Sciences (AIMS) | |
dc.subject | Radiative transfer | |
dc.subject | method of moments | |
dc.subject | optimal prediction | |
dc.subject | measure | |
dc.subject | diffusion approximation | |
dc.title | Optimal prediction for radiative transfer: A new perspective on moment closure | |
dc.type | Article | |
dc.type.genre | Journal Article | |
dc.relation.doi | 10.3934/krm.2011.4.717 | |
dc.ada.note | For Americans with Disabilities Act (ADA) accommodation, including help with reading this content, please contact scholarshare@temple.edu | |
dc.date.updated | 2021-02-04T21:41:43Z | |
refterms.dateFOA | 2021-02-04T21:41:46Z |