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.
arXiv comment9 pages; 4 figures
References in corpus (6)
- Two Relaxation Time Lattice Boltzmann Method Coupled to Fast Fourier Transform Poisson Solver: Application to Electroconvective Flow
- Aspect ratio dependence of charge transport in turbulent electroconvection
- Effect of Couette Flow on Electroconvective Vortices
- Three-dimensional Electro-convective Vortices in Cross-flow
- Charge Transport Scalings in Turbulent Electroconvection
- Bifurcations in annular electroconvection with an imposed shear