研究目的
Investigating the numerical solution of the one-dimensional viscous quantum hydrodynamical model for semiconductor devices using a kinetic flux-vector splitting (KFVS) scheme.
研究成果
The proposed KFVS scheme is effective in solving the one-dimensional viscous quantum hydrodynamical model for semiconductor devices, demonstrating accuracy, efficiency, and simplicity. It captures narrow peaks and steep gradients in solution profiles and is validated against the NT central scheme. The scheme's applicability is further confirmed through analysis of various parameters.
研究不足
The paper does not explicitly discuss limitations, but the high nonlinearity of the model equations and the need for numerical solution techniques suggest computational complexity and potential challenges in capturing all physical phenomena accurately.
1:Experimental Design and Method Selection:
The study employs a splitting scheme based on the KFVS method for the hyperbolic step and a semi-implicit Runge-Kutta method for the relaxation step. The KFVS method involves the direct splitting of macroscopic flux functions on cell interfaces.
2:Sample Selection and Data Sources:
The model treats the propagation of electrons in a semiconductor device as the flow of a charged compressible fluid, with case studies including different doping profiles and external potentials.
3:List of Experimental Equipment and Materials:
Not explicitly mentioned in the paper.
4:Experimental Procedures and Operational Workflow:
The numerical scheme is applied to solve the model equations, with validation against results from the NT central scheme. Effects of parameters like device length, viscosities, doping, and voltage are analyzed.
5:Data Analysis Methods:
The accuracy of the scheme is assessed through comparison with the NT central scheme and analysis of L1-errors at different grid points.
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