Transient finite element method using edge elements for moving conductor

Tani, Katsuji; Nishio, Toshihiko; Yamada, T.; Kawase, Yoshihiro

doi:10.1109/20.767221

Cited by 6 publications

(5 citation statements)

References 5 publications

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“…In both instances, the moving conductor had a uniform, constant velocity. Tani et al (1999) extended the moving conductor formulation by using a transient FEM with edge elements, with the vector potential interpolated at the upwind position, leading to a symmetric system matrix. High-speed devices have been considered by de Gersem et al (2000), and recently, Xu et al (2006) have extended FEM edge element upwinding to a full vector form.…”

Section: Conductor Motion In Eddy Current Problemsmentioning

confidence: 99%

State of the art of numerical modeling for induction processes

Lavers

2008

COMPEL - The International Journal for Computation and Mathematics in Electrical and Electronic Engineering

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Purpose -To provide a selective bibliography for researchers and graduate students who have an interest in induction processes applied to the electromagnetic processing of materials. Design/methodology/approach -The objective is to provide references that identify seminal, early work, and references that represent the current state of the art. References are listed in categories that cover the broad range of induction modeling and application issues. Findings -A brief overview of the key areas in induction processing of materials is provided, but greater emphasis and space is devoted to the references provided.Research limitations/implications -The middle years of each topic area are not covered. Practical implications -A very comprehensive coverage of material is provided to those with an interest in induction processing of materials. Originality/value -This paper fulfils an identified information/resources need.

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Section: Conductor Motion In Eddy Current Problemsmentioning

confidence: 99%

State of the art of numerical modeling for induction processes

Lavers

2008

COMPEL - The International Journal for Computation and Mathematics in Electrical and Electronic Engineering

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“…The modified time derivative of the vector potential in the moving coordinate system can be discretized with an upwind interpolation scheme for an implicit -method such as the first order backward differentiation formula BDF1 (Tani, 1999):…”

Section: Moving Coordinate Formulationmentioning

confidence: 99%

Advanced FI²TD algorithms for transient eddy current problems

Clemens

Wilke

Weiland

2001

COMPEL - The International Journal for Computation and Mathematics in Electrical and Electronic Engineering

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Transient eddy current formulations based on the Finite Integration Technique (FIT) for the magneto‐quasistatic regime are extended to include motional induction effects of moving conductors with simple geometries by different approaches. A new regularization of the formulation using discrete grad‐div augmentation of the curlcurl formulation is presented and tested. To improve the implicit time integration process, several schemes for an error controlled variable time step selection are presented and for the repetitive solution of the arising large sparse systems of equations a sparse direct solver is compared to iterative methods such as a preconditioned conjugate gradient method and a new algebraic multigrid solver, which is aware of the curlcurl nullspace.

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“…A similar approach used in the framework of an edge-finite element formulation is described in [11]. Using ansatz (5) in an implicit DAE time integration schemes such as Gear's backward differentiation scheme BDF1 or BDF2 [12] retains the symmetry of the system matrices and allows to use standard PCG-methods for the algebraic systems of equations.…”

Section: A Moving Coordinate Formulationmentioning

confidence: 99%

Transient eddy current formulation including moving conductors using the FI method

2000

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Recently introduced time domain formulations based on the Finite Integration Method (FI) allow to calculate slowly-varying electromagnetic fields with various implicit time-stepping techniques. In this paper such a Finite-Difference-Implicit-Time-Domain (FDiTD) formulation is extended to consider unidirectional motion of conductors within the computational domain. A moving-coordinate scheme suited for high Peclet numbers and a fixed-coordinate formulation are presented on the basis of the Maxwell-Grid-Equations. The resulting large algebraic systems of equations are solved by iterative methods for each time step. Numerical results of both methods are compared to results of a test problem configuration.

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Transient finite element method using edge elements for moving conductor

Cited by 6 publications

References 5 publications

State of the art of numerical modeling for induction processes

State of the art of numerical modeling for induction processes

Advanced FI²TD algorithms for transient eddy current problems

Transient eddy current formulation including moving conductors using the FI method

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Transient finite element method using edge elements for moving conductor

Cited by 6 publications

References 5 publications

State of the art of numerical modeling for induction processes

State of the art of numerical modeling for induction processes

Advanced FI2TD algorithms for transient eddy current problems

Transient eddy current formulation including moving conductors using the FI method

Contact Info

Product

Resources

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Advanced FI²TD algorithms for transient eddy current problems