Experiences with 3-dimensional magnetic vector potential/electric scalar potential finite element solvers using the Coulomb gauge

1996 ◽  
Author(s):  
A. Sitzia
Keyword(s):  
Finite Element ◽  
Vector Potential ◽  
Scalar Potential ◽  
Coulomb Gauge ◽  
Magnetic Vector Potential ◽  
Magnetic Vector ◽  
3 Dimensional

Effects of 3D Eddy Current Finite Element Formulations on ECT Signals

2006 ◽  
Vol 321-323 ◽  
pp. 464-467
Author(s):  
Hyang Beom Lee
Keyword(s):  
Finite Element ◽  
Eddy Current ◽  
Vector Potential ◽  
Nuclear Power ◽  
Scalar Potential ◽  
Gauge Condition ◽  
Magnetic Vector Potential ◽  
Magnetic Vector ◽  
Special Assumption ◽  
Finite Element Formulations

To obtain the simulated eddy current testing (ECT) signals of steam generator (SG) in nuclear power plant (NPP), nodal-based finite element (FE) analysis with magnetic vector potential (MVP) is usually used. To perform the numerical analysis, we derive the governing equation in terms of MVP and electric scalar potential (ESP) from Maxwell’s equations. To insure the uniqueness of solution, gauge condition has to be considered. In eddy current problems, Coulomb gauge condition (CGC) is usually used. In 2-D or 3-D axis-symmetric analysis, CGC is included during formulation and ESP is eliminated using some special assumption. Because CGC is not used during the formulation in 3-D analysis, we have to include artificially. And because of the heavy computation cost for 3-D analysis modified magnetic vector potential (MMVP) is used by elimination ESP. In this paper, effects of artificial treatment of CGC and elimination of ESP on ECT signal are investigated in order to help for obtaining accurate numerical simulation results.

Using Reduced Support to Enhance Parallel Strong Scalability in 3D Finite-Element Magnetic Vector Potential Formulations with Circuit Equations

2016 ◽  
Vol 36 (6) ◽  
pp. 400-408
Author(s):  
Eelis Takala ◽  
Evren Yurtesen ◽  
Jan Westerholm ◽  
Juha Ruokolainen ◽  
Tommi Peussa
Keyword(s):  
Finite Element ◽  
Vector Potential ◽  
Magnetic Vector Potential ◽  
Magnetic Vector ◽  
3D Finite Element

scholarly journals Progressive Current Source Models in Magnetic Vector Potential Finite-Element Formulations

2016 ◽  
Vol 52 (3) ◽  
pp. 1-4 ◽  
Author(s):  
Patrick Dular ◽  
Patrick Kuo-Peng ◽  
Mauricio V. Ferreira da Luz ◽  
Laurent Krahenbuhl
Keyword(s):  
Finite Element ◽  
Vector Potential ◽  
Current Source ◽  
Magnetic Vector Potential ◽  
Magnetic Vector ◽  
Source Models ◽  
Finite Element Formulations
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