[ { "id": "https://authors.library.caltech.edu/records/n8xtz-zjm98", "eprint_id": 29834, "eprint_status": "archive", "datestamp": "2023-08-19 10:16:00", "lastmod": "2023-10-24 22:29:34", "type": "monograph", "metadata_visibility": "show", "creators": { "items": [ { "id": "Abdikamalov-E", "name": { "family": "Abdikamalov", "given": "Ernazar" } }, { "id": "Burrows-A-S", "name": { "family": "Burrows", "given": "Adam" }, "orcid": "0000-0002-3099-5024" }, { "id": "Ott-C-D", "name": { "family": "Ott", "given": "Christian D." }, "orcid": "0000-0003-4993-2055" }, { "id": "L\u00f6ffler-F", "name": { "family": "L\u00f6ffler", "given": "Frank" } }, { "id": "O'Connor-E", "name": { "family": "O'Connor", "given": "Evan" }, "orcid": "0000-0002-8228-796X" }, { "id": "Dolence-J-C", "name": { "family": "Dolence", "given": "Joshua C." } }, { "id": "Schnetter-E", "name": { "family": "Schnetter", "given": "Erik" }, "orcid": "0000-0002-4518-9017" } ] }, "title": "A New Monte Carlo Method for Time-Dependent Neutrino Radiation Transport", "ispublished": "unpub", "full_text_status": "public", "keywords": "Hydrodynamics, Neutrinos, Radiative Transfer, Stars: Evolution, Stars: Neutron, Stars:\nSupernovae: General", "note": "We are happy to acknowledge helpful exchanges with\nTimothy Brandt, Jeffery Densmore, Peter Diener, Roland\nHaas, Daniel Kasen, Oleg Korobkin, and Christian Reisswig.\nThis work was supported in part by NSF under grant nos.\nAST-0855535, OCI-0905046, OCI 0721915, OCI 0725070,\nOCI 0905046, OCI 0941653, PIF-0904015, PHY-0960291,\nand TG-PHY100033, by the DOE under grant DE-FG02-\n08ER41544, and by the Sherman Fairchild Foundation. Results\npresented in this article were obtained through computations\non machines of the Louisiana Optical Network Initiative\nunder grant loni_numrel07, on the Caltech compute cluster\n\"Zwicky\" (NSF MRI award No. PHY-0960291), on the NSF\nTeragrid under grant TG-PHY100033, and at the National Energy\nResearch Scientific Computing Center (NERSC), which\nis supported by the Office of Science of the US Department\nof Energy under contract DE-AC03-76SF00098.\n\n
Submitted - 1203.2915v1.pdf
", "abstract": "Monte Carlo approaches to radiation transport have several attractive properties compared to deterministic\nmethods. These include simplicity of implementation, high accuracy, and good parallel scaling. Moreover,\nMonte Carlo methods can handle complicated geometries and are relatively easy to extend to multiple spatial\ndimensions, which makes them particularly interesting in modeling complex multi-dimensional astrophysical\nphenomena such as core-collapse supernovae. The aim of this paper is to explore Monte Carlo methods for\nmodeling neutrino transport in core-collapse supernovae. We generalize the implicit Monte Carlo photon transport\nscheme of Fleck & Cummings and gray discrete-diffusion scheme of Densmore et al. to energy-, time-,\nand velocity-dependent neutrino transport. Using our 1D spherically-symmetric implementation, we show that,\nsimilar to the photon transport case, the implicit scheme enables significantly larger timesteps compared with\nexplicit time discretization, without sacrificing accuracy, while the discrete-diffusion method leads to significant\nspeed-ups at high optical depth. Our results suggest that a combination of spectral, velocity-dependent,\nimplicit Monte Carlo and discrete-diffusion Monte Carlo methods represents an attractive approach for use in\nneutrino radiation-hydrodynamics simulations of core-collapse supernovae. Our velocity-dependent scheme\ncan easily be adapted to photon transport.", "date": "2012-03-13", "date_type": "published", "publisher": "California Institute of Technology", "id_number": "CaltechAUTHORS:20120326-075052193", "official_url": "https://resolver.caltech.edu/CaltechAUTHORS:20120326-075052193", "rights": "No commercial reproduction, distribution, display or performance rights in this work are provided.", "funders": { "items": [ { "agency": "NSF", "grant_number": "AST-0855535" }, { "agency": "NSF", "grant_number": "OCI-0905046" }, { "agency": "NSF", "grant_number": "OCI 0721915" }, { "agency": "NSF", "grant_number": "OCI 0725070" }, { "agency": "NSF", "grant_number": "OCI 0905046," }, { "agency": "NSF", "grant_number": "OCI 0941653" }, { "agency": "NSF", "grant_number": "PIF-0904015" }, { "agency": "NSF", "grant_number": "PHY-0960291" }, { "agency": "NSF", "grant_number": "TG-PHY100033" }, { "agency": "Department of Energy (DOE)", "grant_number": "DE-FG02-08ER41544" }, { "agency": "Sherman Fairchild Foundation" }, { "agency": "Louisiana Optical Network Initiative", "grant_number": "loni_numrel07" }, { "agency": "NSF", "grant_number": "PHY-0960291" }, { "agency": "NSF", "grant_number": "TG-PHY100033" }, { "agency": "Department of Energy (DOE)", "grant_number": "DE-AC03-76SF00098" } ] }, "local_group": { "items": [ { "id": "TAPIR" } ] }, "doi": "10.48550/arXiv.1203.2915", "primary_object": { "basename": "1203.2915v1.pdf", "url": "https://authors.library.caltech.edu/records/n8xtz-zjm98/files/1203.2915v1.pdf" }, "resource_type": "monograph", "pub_year": "2012", "author_list": "Abdikamalov, Ernazar; Burrows, Adam; et el." } ]