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Integral jump conditions for singular problems – applied to Debye‐layer phenomena
Author(s) -
Marthaler Philipp G.,
Class Andreas G.
Publication year - 2021
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.202000044
Subject(s) - jump , debye , boundary layer , debye length , layer (electronics) , integral equation , boundary (topology) , boundary value problem , mechanics , materials science , mathematics , physics , mathematical analysis , condensed matter physics , plasma , nanotechnology , quantum mechanics
In numerical simulations boundary layers can be treated as jump conditions inheriting detailed physical effects that emerge inside the thin layer. The presented approach, first applied by Class et al. [3], is used to determine such jump conditions in integral form. It is applied to an electro‐hydrodynamic problem with a Debye‐layer in direct vicinity to a charged solid wall.