Numerical analysis of three-dimensional electromagnetic fluid flow in alternating magnetic fields using a vector finite element method

2017 ◽  
Vol 2017.70 (0) ◽  
pp. 817
Author(s):  
Yoshiteru MURE ◽  
Haruhiko KOHNO
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Fluid Flow ◽  
Numerical Analysis ◽  
Magnetic Fields ◽  
Three Dimensional ◽  
Vector Finite Element Method ◽  
Electromagnetic Fluid ◽  
Vector Finite Element ◽  
Alternating Magnetic Fields

Application of the Vector Finite Element Method to 3D Magnetohydrodynamics

2003 ◽  
Author(s):  
Masaaki Matsumoto ◽  
Takahiko Tanahashi
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Magnetic Flux ◽  
Flux Density ◽  
Three Dimensional ◽  
Magnetic Flux Density ◽  
Shape Functions ◽  
Vector Finite Element Method ◽  
Vector Finite Element ◽  
Element Method

It is well known that the vector finite element method is one of the powerful tools for solving electromagnetic problems. The vector shape functions that are consist of the facet and the edge vector shape functions have a lot of characteristics. One of them is automatic conservation of the magnetic flux density in analyzing the Induction equations without iterative correction. In the present paper the vector finite element method is applied to the problems of magnetohydrodynamics. Three-dimensional natural convection in a cavity under a constant magnetic field is analyzed numerically using the GSMAC finite element method for flow field and temperature field and the vector finite element method for the Induction equations. The computational results are good agreement with those obtained using B method that is one of the iterative methods to satisfy the solenoidal condition for the magnetic flux density of the Induction equations.

scholarly journals NUMERICAL SOLVING THREE-DIMENSIONAL DIRECT PROBLEM OF PULSED ELECTROMAGNETIC CROSS-WELL EXPLORATION FOR CRYOLITHOZONE MONITORING

2021 ◽  
Vol 2 (2) ◽  
pp. 181-185
Author(s):  
Oleg V. Nechaev ◽  
Kirill N. Danilovskiy
Keyword(s):  
Mathematical Model ◽  
Finite Element Method ◽  
Finite Element ◽  
Direct Problem ◽  
Geophysical Methods ◽  
Three Dimensional ◽  
Spatially Inhomogeneous ◽  
Vector Finite Element Method ◽  
Vector Finite Element ◽  
Pulsed Electromagnetic

The article is devoted to the problem of studying permafrost state and the processes of its geocryological changes using geophysical methods. To monitor the cryolithozone, a method of pulsed electromagnetic cross-well sounding is proposed. On the basis of the vector finite element method, a mathematical model of the cross-well sounding process by a pulsed source in a three-dimensional spatially inhomogeneous medium has been created.

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