Parallel parameter study of the Wigner-Poisson equations for RTDs
β Scribed by M.S. Lasater; C.T. Kelley; A.G. Salinger; D.L. Woolard; P. Zhao
- Publisher
- Elsevier Science
- Year
- 2006
- Tongue
- English
- Weight
- 743 KB
- Volume
- 51
- Category
- Article
- ISSN
- 0898-1221
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β¦ Synopsis
We will discuss a parametric study of the solution of the Wigner-Poisson equations for resonant tunneling diodes. These structures exhibit self-sustaining oscillations in certain operating regimes. We will describe the engineering consequences of our study and how it is a significant advance from some previous work, which used much coarser grids. We use LOCA and other packages in the Trilinos framework from Sandia National Laboratory to enable efficient parallelization of the solution methods and to perform bifurcation analysis of this model. We report on the parallel efficiency and scalability of our implementation.
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Integration of the subsurface flow equation by finite elements (FE) in space and finite differences (FD) in time requires the repeated solution to sparse symmetric positive definite systems of linear equations. Iterative techniques based on preconditioned conjugate gradients (PCG) are one of the mos