Abstract
A new accurate compact finite difference scheme for solving the 2D drift-diffusion system is introduced. The scheme is based on the computation on staggered grids of the current densities given by advection-dominated equations. Conservativity is preserved and the compactness of the scheme leads to a good treatment of boundary conditions. The discretization is realized on uniform and non-uniform grids. This last grid is analytically defined using mapping techniques (spline functions). A new accurate compact finite difference scheme for solving the 2D drift-diffusion system is introduced. The scheme is based on the computation on staggered grids of the current densities given by advection-dominated equations. Conservativity is preserved and the compactness of the scheme leads to a good treatment of boundary conditions. The discretization is realized on uniform and non-uniform grids. This last grid is analytically defined using mapping techniques (spline functions). Several numerical tests show the robustness of the method.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
