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

Fluid Dynamics 2020-06-26 v1 Applied Physics Computational Physics Plasma Physics

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.

Keywords

Cite

@article{arxiv.2006.14050,
  title  = {Limitation of Finite Difference Scheme in Electroconvection with Unipolar Charge Injection: A base-state Analysis},
  author = {Yifei Guan and Junyu Huang and Jian Wu},
  journal= {arXiv preprint arXiv:2006.14050},
  year   = {2020}
}

Comments

9 pages; 4 figures