team:gdeliege:espaint
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team:gdeliege:espaint [2015/08/12 11:38] – geoffrey | team:gdeliege:espaint [2016/03/30 15:23] (current) – external edit 127.0.0.1 | ||
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- | ==== Electrostatic painting ==== | + | ===== Electrostatic painting |
- | == Problem description == | + | === Problem description |
Electrostatic painting is one of the applications I studied during my PhD. | Electrostatic painting is one of the applications I studied during my PhD. | ||
- | I started from a mathematical model by François Henrotte | + | I started from a mathematical model by François Henrotte |
and used this nice coupled problem to test different potential and mixed formulations | and used this nice coupled problem to test different potential and mixed formulations | ||
of electrostatic equations. | of electrostatic equations. | ||
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It must be noted that electrostatic and magnetostatic mixed formulations have the same stability problems as Stokes equations when the shape functions do not satisfy the Babuska-Brezzi inf-sup condition. | It must be noted that electrostatic and magnetostatic mixed formulations have the same stability problems as Stokes equations when the shape functions do not satisfy the Babuska-Brezzi inf-sup condition. | ||
Fortunately, | Fortunately, | ||
+ | |||
+ | === Finite element simulations === | ||
The geometrical model is a box extending from the middle of a wire to half the distance between two consecutive wires (Fig. 1). | The geometrical model is a box extending from the middle of a wire to half the distance between two consecutive wires (Fig. 1). | ||
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//Figure 3. Finite element simulation results : (left) current flowing through the wire and plate surfaces, (right) error on the charge conservation at each time step, calculated as the relative difference between the total charge variation during a time step and the integral of the currents on the wire and plate surfaces.// | //Figure 3. Finite element simulation results : (left) current flowing through the wire and plate surfaces, (right) error on the charge conservation at each time step, calculated as the relative difference between the total charge variation during a time step and the integral of the currents on the wire and plate surfaces.// | ||
+ | === References === | ||
- | == References == | + | [1] F. Henrotte. //Calcul des efforts électromagnétiques et de leurs effets dans des structures quelconques// |
- | + | [2] G. Deliége, F. Henrotte, W. Deprez, K. Hameyer. //Finite element modelling of ion convection by electrostatic forces.// IET Science, Measurement & Technology, vol. 151, pp. 398-402, 2004 \\ | |
- | [1] F. Henrotte. //Calcul des efforts électromagnétiques et de leurs effets dans des structures quelconques// | + | [3] G. Deliége, E. Rosseel, S. Vandewalle. //Iterative solvers and stabilisation for mixed electrostatic and magnetostatic formulations.// |
- | [2] G. Deliége, F. Henrotte, W. Deprez, K. Hameyer. //Finite element modelling of ion convection by electrostatic forces.// IET Science, Measurement & Technology, vol. 151, pp. 398-402, 2004. | + | \\ |
- | [3] G. Deliége, E. Rosseel, S. Vandewalle. //Iterative solvers and stabilisation for mixed electrostatic and magnetostatic formulations.// | + | [[team: |
team/gdeliege/espaint.1439372299.txt.gz · Last modified: 2016/03/30 15:22 (external edit)