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Multidimensional classical and relativistic hydrodynamics using central and WENO schemes

The effects of density fluctuations on supernova neutrinos have been studied. Using the formalism developed by Burgess & Michaud (BM) and stellar evolution progenitors by Woosley & Weaver, the expected neutrino flux from a future galactic super-nova have been computed taking into account possible density fluctuations for a 2ν system. It has been shown that within the most recent constraints of mass squared difference values and vacuum mixing angle, neutrino fluxes on earth could be affected depending on the fluctuation levels. / The formalism developed by BM has been extended to the case of three neutrino generations. Preliminary results using this model show that in this case as well, density fluctuations could affect the expected neutrino flux. / A new multidimensional, non-Riemann solver based, High resolution Shock Capturing (HRSC) scheme has been proposed using the semidiscrete central and Weighted Essentially Non-Oscillatory (WENO) data reconstruction methods. The novel aspect of this algorithm is that for robustness, elements of the Piecewise Parabolic Method (PPM) has been incorporated in this HRSC scheme. The algorithm has been applied to the multidimensional classical and Special Relativistic Hydrodynamics (SRHD) equations. The new HRSC algorithm and codes were verified by a number of benchmark tests in one and two dimensions.

Identiferoai:union.ndltd.org:LACETR/oai:collectionscanada.gc.ca:QMM.102156
Date January 2006
CreatorsRahman, Tanvir.
PublisherMcGill University
Source SetsLibrary and Archives Canada ETDs Repository / Centre d'archives des thèses électroniques de Bibliothèque et Archives Canada
LanguageEnglish
Detected LanguageEnglish
TypeElectronic Thesis or Dissertation
Formatapplication/pdf
CoverageDoctor of Philosophy (Department of Physics.)
Rights© Tanvir Rahman, 2006
Relationalephsysno: 002481691, proquestno: AAINR25234, Theses scanned by UMI/ProQuest.

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