研究目的
To numerically investigate the one-dimensional viscous quantum hydrodynamical model of semiconductor devices using a kinetic flux-vector splitting scheme and compare its performance with the NT central scheme.
研究成果
The proposed KFVS scheme effectively captures narrow peaks and steep gradients in solution profiles, demonstrating its robustness and efficiency for the viscous quantum hydrodynamic model of semiconductor devices. The scheme's accuracy and simplicity make it suitable for further applications in semiconductor device simulation.
研究不足
The study is limited to one-dimensional models and may not capture all complexities of multi-dimensional semiconductor devices. The numerical scheme's performance is validated against another numerical method rather than experimental data.
1:Experimental Design and Method Selection:
The study employs a splitting scheme combining the kinetic flux-vector splitting (KFVS) method for the hyperbolic step and a semi-implicit Runge-Kutta method for the relaxation step.
2:Sample Selection and Data Sources:
The model is applied to semiconductor devices with specified doping profiles and external potentials.
3:List of Experimental Equipment and Materials:
Numerical simulations are performed without specific hardware mentioned, focusing on algorithmic approaches.
4:Experimental Procedures and Operational Workflow:
The numerical scheme is applied to solve the model equations, with results validated against those obtained from the NT central scheme.
5:Data Analysis Methods:
The accuracy and efficiency of the proposed scheme are analyzed through case studies involving different parameters like device length, viscosities, doping, and voltage.
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