Poisson Equation for the Electric Potential (Finite Volume)

Available identifiers

MaRDI QIDQ6674356

used within the Scharfetter-Gummel finite volume disretization scheme

Description

Used within the Scharfetter-Gummel finite volume disretization scheme which is the standard numerical method for solving the van Roosbroeck system.

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Defining Formula: $-{ϵ}_s(\frac{{\psi }_{k+1}-{\psi }_k}{h_{k,k+1}}-\frac{{\psi }_k-{\psi }_{k-1}}{h_{k-1,k}})=q(C_k+p({\psi }_k,{\varphi }_{p;k})-n({\psi }_k,{\varphi }_{n;k}))|{\omega }_k|$

${ϵ}_s$ symbol represents Permittivity (Dielectric)

${\omega }_k$ symbol represents Control Volume

$\psi$ symbol represents Electric Potential

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