A new control volume finite element method for the stable and
accurate solution of the drift-diffusion equations on general unstructured
grids.
April 3, 2013
3:00pm PGH 646
Abstract
We present a new Control Volume Finite Element Method with
multi-dimensional Scharfetter-Gummel upwinding (CVFEM-SG) for the
drift-diffusion equations. The method combines a conservative formulation
of the carrier density continuity equations with an edge element lifting of
the one-dimensional Scharfetter-Gummel edge currents into curl-conforming
elemental currents. These elemental currents combine the upwind effect from
all element edges and enable accurate computation of the flux on arbitrary
surfaces inside the elements. In so doing, we obtain a formulation that is
stable and accurate on general unstructured finite element grids. This
approach sets our formulation apart from other methods, which require the
control volumes to be topologically dual to the primal grid. Numerical
studies of the CVFEM-SG for a suite of scalar advection-diffusion test
problems confirm the accuracy and the robustness of the new formulation.
Simulations of a PN diode and an n-channel MOSFET device demonstrate the
performance of the method for the fully coupled drift-diffusion system.
This is joint work with K. Peterson and X. Gao (Sandia National
Laboratories)
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Last modified: April 11 2016 - 18:14:43