Please use this identifier to cite or link to this item: https://hdl.handle.net/10356/156097
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dc.contributor.authorSingh, Satyviren_US
dc.contributor.authorBattiato, Marcoen_US
dc.date.accessioned2022-11-09T06:44:18Z-
dc.date.available2022-11-09T06:44:18Z-
dc.date.issued2022-
dc.identifier.citationSingh, S. & Battiato, M. (2022). Explicit modal discontinuous galerkin approximations for three-dimensional Electronic boltzmann transport equation. International Conference on Spectral and High Order Methods (ICOSAHOM 2020). https://dx.doi.org/10.1007/978-3-031-20432-6_28en_US
dc.identifier.urihttps://hdl.handle.net/10356/156097-
dc.description.abstractThis study presents the development of an efficient numerical algorithm to simulate the three-dimensional electronic Boltzmann transport equation (BTE) in equilibrium to nonequilibrium regimes, within a single framework. A threedimensional explicit modal discontinuous Galerkin approximation based on hexahedral elements was developed to solve the electronic BTE in conjunction with the relaxation time approximation. The hierarchical basis functions based on orthogonal scaled Legendre polynomials were used, while the Gaussian quadrature rule was adopted for evaluating surface and volume integration. The upwind scheme was used for handling the numerical flux function, while, an explicit third-order accurate SSP-RK scheme was used for temporal discretization. A three-dimensional linear scalar problem was solved to verify the order of accuracy of the numerical scheme. After then, an extensive range of numerical simulations was conducted to investigate the effects of physical parameters on electronic BTE dynamics. The numerical experiments show that the proposed system treats ultrafast dynamics consistently and effectively across a wide range of parameters and regimes.en_US
dc.description.sponsorshipNanyang Technological Universityen_US
dc.language.isoenen_US
dc.relationNAP-SUG M408074en_US
dc.rights© 2022 Springer Verlag. All rights reserved. This paper was published in Proceedings of International Conference on Spectral and High Order Methods (ICOSAHOM 2020) and is made available with permission of Springer Verlag.en_US
dc.subjectScience::Physics::Electricity and magnetismen_US
dc.titleExplicit modal discontinuous galerkin approximations for three-dimensional Electronic boltzmann transport equationen_US
dc.typeConference Paperen
dc.contributor.schoolSchool of Physical and Mathematical Sciencesen_US
dc.contributor.conferenceInternational Conference on Spectral and High Order Methods (ICOSAHOM 2020)en_US
dc.identifier.doi10.1007/978-3-031-20432-6_28-
dc.description.versionSubmitted/Accepted versionen_US
dc.identifier.urlhttps://www.conftool.com/icosahom2020/index.php?page=browseSessions&form_session=45#paperID195-
dc.subject.keywordsBoltzmann Transport Equationen_US
dc.subject.keywordsAlgorithmsen_US
dc.citation.conferencelocationVienna, Austriaen_US
dc.description.acknowledgementThe authors would like to acknowledge the financial support of the NAP-SUG grant program funded by the Nanyang Technological University, Singapore.en_US
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