Strong formulation using FDS, weak formulation using FEM and experimental data

Martinez, N.; Lefèvre, Yvan; Nogarède, Bertrand

doi:10.1109/icelmach.2008.4799877

Cited by 2 publications

(6 citation statements)

References 3 publications

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“…For details about the performed simulations and measurements see [24]. The distributions of (Ht) calculated from FEM and FDS, along the interface between air gap and the upper iron plate above the permanent magnet are shown on Figures 8.…”

Section: Resultsmentioning

confidence: 99%

“…Fig. 7: Experimental set up used for measurements (3D view) [24] An experimental bench has been set up in order to compare the results obtained by finite element and by finite difference methods to the results of measurements. Figure 7 shows the experimental set up.…”

Section: A Treatment Of the Field Continuity Conditions On Interfacementioning

confidence: 99%

“…In [22] and [24], two extreme situations have been presented and recalled here. The case of the nodal FEM with bilinear quadrilateral element may represent the worst situation in matter of interface errors, but it shows how far a numerical solution may not be compatible with physical laws.…”

Section: Computationmentioning

confidence: 99%

“…In [24], the distributions of magnetic flux density obtained from FEM and FDS in the case of an experimental set up have been compared to measurements. The results show that taking into account both magnetic field continuity conditions in FDS on interface does not deteriorate the solution in the whole study domain.…”

Section: Computationmentioning

confidence: 99%

“…This section emphasizes an example of this kind of treatment [23]. A recall and analyses of the results obtained from finite difference scheme (FDS), finite element methods (FEM) and experimental data are made in the last part [24].…”

Section: Introductionmentioning

confidence: 99%

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Theoretical considerations in numerical analysis in view of modeling a pulsatile magnetoactive pump for medical circulatory support

Martinez

Lefèvre

2010

The XIX International Conference on Electrical Machines - ICEM 2010

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This paper presents theoretical considerations on numerical modelling of magnetic fields in view of modeling a pulsatile magnetoactive pump based on the use of flexible magnetic material. To some extent, this publication fills a gap in the literature of numerical methods: the comparisons and analyses of some results obtained from the 'old' FDS, the 'popular' FEM. The authors, in previous publications, have presented numerical results that can be now considered as numerical facts. This contribution presents theoretical considerations from which the comparisons of the numerical results obtained from a strong formulation using finite difference schemes (FDS) and a weak formulation using finite element method (FEM) can be interpreted.Index Terms--Boundary value problems, continuity conditions at interface, finite difference methods, finite element methods, magnetic field, weak formulation, strong formulation, pulsatile magnetoactive pump, medical circulatory support. (13) into equation (12) produces the partial derivative of A I,J with respect to y in the air: J I J I J I J I J I Substitution of equation

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Section: Resultsmentioning

confidence: 99%

Section: A Treatment Of the Field Continuity Conditions On Interfacementioning

confidence: 99%

Section: Computationmentioning

confidence: 99%

Section: Computationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Theoretical considerations in numerical analysis in view of modeling a pulsatile magnetoactive pump for medical circulatory support

Martinez

Lefèvre

2010

The XIX International Conference on Electrical Machines - ICEM 2010

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Axial claw pole motor: harmonic torque estimation using finite element method

Giraud

Ristagno

Netter

et al. 2020

COMPEL

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Purpose This paper aims to propose a method to evaluate the information obtained on harmonics calculations and to estimate the precision of results using finite element method for an innovative motor topology in which some well-known meshing rules are difficult to apply. Design/methodology/approach The same magnetostatic problem is solved with several mesh sizes using both scalar and vector potentials magnetics formulations on a complex topology, an axial claw pole motor (ACPM). The proposed method lies in a comparison between the two weak formulations to determine what information is obtained on harmonics calculations and to estimate its precision. Moreover, an original mesh method is applied in the air gap to improve the numerical results. Findings The precision on harmonics calculations using finite element method on an ACPM is estimated. For the proposed motor and mesh, only the mean value (even with large mesh) and the first harmonic (with fine mesh) of torque are calculated with a good accuracy. This results confirm that the non-respect of the meshing rules have a strong impact on the results and that scalar and vector potentials magnetics formulations do not give exactly the same results. Before using torque harmonics values in vibration calculations, a finite element model has to be validated by using both fomulations. Research limitations/implications This method is time-consuming and only applied on an ACPM in this work. Originality/value The axial claw pole motor, for which the classic meshing rules cannot be applied, is a complex topology very under-studied. To improve the calculation of space harmonics, the authors proposed to split the airgap into four parts. Then in the two central parts, the meshing step of the structured mesh is equal to the rotating step.

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Strong formulation using FDS, weak formulation using FEM and experimental data

Cited by 2 publications

References 3 publications

Theoretical considerations in numerical analysis in view of modeling a pulsatile magnetoactive pump for medical circulatory support

Theoretical considerations in numerical analysis in view of modeling a pulsatile magnetoactive pump for medical circulatory support

Axial claw pole motor: harmonic torque estimation using finite element method

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