Numericale solution of 1D Drift-Diffusion problem (MOL + FV + WENO5-LF))
For 1D gas diode with uniform initial plasma concentration the program solves electrons and ions equations of continuity with Method of Lines (MOL) on uniform fine grid. Convective (drift) fluxes are splitted with Lax-Friedrichs expressions and reconstructed with fifth ordered Weighted ENO scheme (WENO5-LF).
Diffusion terms are taken into account independently.
Electric field strength is calculated simply with analytical solution avaiable of Poisson equations in 1D.
The border conditions includes secondary electron emission at cathode and isolation for ions flux at anode.
Due to using of WENO5 method your may simply apply coarser grid (nx = 80) without accuracy losses. Also the resulting MOL ODEs system isn't stiff so it'll be easy to solve via RK methods (i.e. ODE45 and ODE23).
Feel free to ask me any questions.
Citation pour cette source
Vasily Kozhevnikov (2024). Numericale solution of 1D Drift-Diffusion problem (MOL + FV + WENO5-LF)) (https://www.mathworks.com/matlabcentral/fileexchange/41174-numericale-solution-of-1d-drift-diffusion-problem-mol-fv-weno5-lf), MATLAB Central File Exchange. Récupéré le .
Compatibilité avec les versions de MATLAB
Plateformes compatibles
Windows macOS LinuxCatégories
- Mathematics and Optimization > Partial Differential Equation Toolbox > Domain-Specific Modeling > Electromagnetics >
Tags
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!Découvrir Live Editor
Créez des scripts avec du code, des résultats et du texte formaté dans un même document exécutable.
Version | Publié le | Notes de version | |
---|---|---|---|
1.0.0.0 |