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The advective upstream splitting method (AUSM) developed for fluid dynamicsproblems has been applied to solving hydrodynamic semiconductor equations coupledwith the Poisson’s equation. In the AUSM, the flux vectors of a fluid system are splitinto a convective component and a diffusive pressure component. Discretization of thesetwo physically distinct fluxes is thus performed separately in AUSM. Application of thedeveloped hydrodynamic AUSM to a GaAs MESFET with a gate length of 0.1 μm hasdemonstrated its simplicity, efficiency and effectiveness in dealing with the highlynonlinear hydrodynamic device system

An Upstream Flux Splitting Method for Hydrodynamic Modeling of Deep Submicron Devices