title: Three-dimensional coherent structures of electrokinetic instability.
abstract: A direct numerical simulation of the three-dimensional elektrokinetic instability near a charge-selective surface (electric membrane, electrode, or system of micro- or nanochannels) has been carried out and analyzed. A special finite-difference method has been used for the space discretization along with a semi-implicit 31/3-step Runge-Kutta scheme for the integration in time. The calculations employ parallel computing. Three characteristic patterns, which correspond to the overlimiting currents, are observed: (a) two-dimensional electroconvective rolls, (b) three-dimensional regular hexagonal structures, and (c) three-dimensional structures of spatiotemporal chaos, which are a combination of unsteady hexagons, quadrangles, and triangles. The transition from (b) to (c) is accompanied by the generation of interacting two-dimensional solitary pulses.
authors.affiliation: Department of Computation Mathematics and Computer Science, Kuban State University, Krasnodar, 350040, Russian Federation and Laboratory of General Aeromechanics, Institute of Mechanics, Moscow State University, Moscow, 117192, Russian Federation.
authors.forename: E A
authors.initials: EA
authors.lastname: Demekhin
authors.affiliation: Laboratory of General Aeromechanics, Institute of Mechanics, Moscow State University, Moscow, 117192, Russian Federation.
authors.forename: N V
authors.initials: NV
authors.lastname: Nikitin
authors.affiliation: Scientific Research Department, Kuban State University, Krasnodar, 350040, Russian Federation.
authors.forename: V S
authors.initials: VS
authors.lastname: Shelistov
mesh_terms: D004560:Electricity; D004566:Electrodes; D008567:Membranes, Artificial; D008962:Models, Theoretical; D013499:Surface Properties
chemical_list: D008567:Membranes, Artificial