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2012
DOI: 10.1109/tpwrd.2012.2197226
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Simulation of Ion-Flow Field Using Fully Coupled Upwind Finite-Element Method

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Cited by 17 publications
(10 citation statements)
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“…Lu et al [11] proposed an upwind FEM, which avoids non-physical instability of the numerical calculation. Zhou et al [12] induced upwind weighting function to FEM for the purpose of eliminating the oscillations in simulation of charge conservation. Levin [13] established dual mesh based on the triangulation grid in calculation domain; the new mesh is called donor cell and the space charge density is hereby solved in accordance with Gauss' Law.…”
Section: Introductionmentioning
confidence: 99%
“…Lu et al [11] proposed an upwind FEM, which avoids non-physical instability of the numerical calculation. Zhou et al [12] induced upwind weighting function to FEM for the purpose of eliminating the oscillations in simulation of charge conservation. Levin [13] established dual mesh based on the triangulation grid in calculation domain; the new mesh is called donor cell and the space charge density is hereby solved in accordance with Gauss' Law.…”
Section: Introductionmentioning
confidence: 99%
“…The property of transport equation governing the flow problem is inherently quite different from the self-adjoint equations, to which the Galerkin finite element method (FEM) has been proven successful in application [3]. For this typical flow problem in the presence of high convective effects, the standard Galerkin method always loses its best approximation property and produces spurious node-tonode oscillation [4][5][6]. Therefore, special technique should be used.…”
Section: Introductionmentioning
confidence: 99%
“…Although the computation of the transport equation is carried out on the triangular mesh, this method is more like an upwind finite difference method [16][17][18]. Recent years, upwind-type technique is successfully applied to the full FEM [5], discontinuous Galerkin FEM [4,6] and finite volume method [19]. Another problem arises for the full FEM that the convergence of iteration between electric field and ion density is difficult to be guaranteed.…”
Section: Introductionmentioning
confidence: 99%
“…The detection of electromagnetic environment plays an important role in the construction of high voltage transmission line. The use of high voltage transmission lines can cause the increase of the space charge density of the conductors, which may exert psychological and physiological impacts on human body [13]. The parameters of electromagnetic environment under HVDC transmission lines mainly consists of space charge density, ion current density, magnetic induction intensity, audible noise and radio interference, among which the space charge density is believed to be an important parameter for evaluation of electromagnetic environment that directly affects human body.…”
Section: Introductionmentioning
confidence: 99%