Limitation of Finite Difference Scheme in Electroconvection with Unipolar Charge Injection: A base-state Analysis
arXiv:2006.14050
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.
9 pages; 4 figures