Limitation of Finite Difference Scheme in Electroconvection with Unipolar Charge Injection: A base-state Analysis

preprint2020arXivOpen access

Abstract

The 1D hydrostatic base state of electroconvection driven by unipolar charge injection between two parallel electrodes is investigated using a finite difference method. A boundary layer near the anode surface is derived analytically. The computational grid is required to resolve this boundary layer to maintain high order accuracy.

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