Please use this identifier to cite or link to this item: https://hdl.handle.net/10356/156097
Title: Explicit modal discontinuous galerkin approximations for three-dimensional Electronic boltzmann transport equation
Authors: Singh, Satyvir
Battiato, Marco
Keywords: Science::Physics::Electricity and magnetism
Issue Date: 2022
Source: Singh, 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_28
Project: NAP-SUG M408074 
Conference: International Conference on Spectral and High Order Methods (ICOSAHOM 2020)
Abstract: This 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.
URI: https://hdl.handle.net/10356/156097
URL: https://www.conftool.com/icosahom2020/index.php?page=browseSessions&form_session=45#paperID195
DOI: 10.1007/978-3-031-20432-6_28
Schools: School of Physical and Mathematical Sciences 
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.
Fulltext Permission: open
Fulltext Availability: With Fulltext
Appears in Collections:SPMS Conference Papers

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