Explicit modal discontinuous galerkin approximations for three-dimensional Electronic boltzmann transport equation
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...
| Main Authors: | , |
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| Other Authors: | |
| Format: | Conference Paper |
| Language: | English |
| Published: |
2022
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| Subjects: | |
| Online Access: | https://hdl.handle.net/10356/156097 https://www.conftool.com/icosahom2020/index.php?page=browseSessions&form_session=45#paperID195 |
| Summary: | 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. |
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