NDLI: Stable Galerkin finite-element scheme for the simulation of problems involving conductors moving rectilinearly in magnetic fields

Content Provider	IET Digital Library
Author	Subramanian, Sethupathy Kumar, Udaya
Abstract	For the simulation of rectilinearly moving conductors across a magnetic field, the Galerkin finite-element method (GFEM) is generally employed. The inherent instability of GFEM is very often addressed by employing streamline upwinding/Petrov–Galerkin (SU/PG) scheme. However, the SU/PG solution is known to suffer from distortion at the boundary transverse to the velocity and the remedial measures suggested in fluid dynamics literature are computationally demanding. Therefore, simple alternative schemes are essential. In an earlier effort, instead of conventional finite-difference-based approach, the numerical instability was analysed using the Z-transform. By employing the concept of pole-zero cancellation, stability of the numerical solution was achieved by a simple restatement of the input magnetic flux in terms of associated vector potential. This approach, however, is restricted for input fields, which vary only along the direction of the velocity. To overcome this, the present work proposes a novel approach in which the input field is restated as a weighted elemental average. The stability of the proposed scheme is proven analytically for both one- and two-dimensional cases. The error bound for the small oscillations remnant at intermittent Peclet numbers is also deduced. Using suitable numerical simulations, all the theoretical deductions are verified.
Starting Page	952
Ending Page	962
Page Count	11
ISSN	17518822
Volume Number	10
e-ISSN	17518830
Issue Number	Issue 8, Nov (2016)
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/iet-smt/10/8
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/10.1049/iet-smt.2016.0162
Journal	IET Science, Measurement & Technology
Publisher Date	2016-11-01
Access Restriction	Open
Rights Holder	© The Institution of Engineering and Technology
Subject Keyword	Conductors Conductors (electric) Finite Element Analysis Galerkin Finite-element Method Galerkin Method General Circuit Analysis And Synthesis Method Input Magnetic Flux Integral Transforms in Numerical Analysis Intermittent Peclet Numbers Mathematical Analysis Numerical Instability Optimisation Technique Pole-zero Cancellation Poles And Zeros Rectilinearly Moving Conductor Streamline Upwinding-Petrov–Galerkin Scheme Vector Potential Z Transform Z-transform
Content Type	Text
Resource Type	Article
Subject	Atomic and Molecular Physics, and Optics Electrical and Electronic Engineering

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in

Stable Galerkin Finite Element Scheme for the Simulation of Problems Involving Conductors Moving Rectilinearly in Magnetic Fields

An operator-splitting Galerkin/SUPG finite element method for population balance equations : stability and convergence

Streamline upwinding in a 3-D edge-element method modeling eddy currents in moving conductors

Flux-upwind stabilization of the discontinuous Petrov–Galerkin formulation with Lagrange multipliers for advection-diffusion problems

Moving Mesh with Streamline Upwind Petrov-Galerkin (MM-SUPG) Method for Convection-Diffusion Problems

Finite Volume Box Schemes and Mixed Methods

Steady-state thermal analysis of power cable systems in ducts using streamline-upwind/petrov-galerkin finite element method

A Meshless Local Petrov-Galerkin Method for Magnetic Diffusion in Non-magnetic Conductors

An h-p Petrov-Galerkin finite element method for linear Volterra integro-differential equations

Stable Galerkin finite-element scheme for the simulation of problems involving conductors moving rectilinearly in magnetic fields

Similar Documents

Stable Galerkin Finite Element Scheme for the Simulation of Problems Involving Conductors Moving Rectilinearly in Magnetic Fields

An operator-splitting Galerkin/SUPG finite element method for population balance equations : stability and convergence

Streamline upwinding in a 3-D edge-element method modeling eddy currents in moving conductors

Flux-upwind stabilization of the discontinuous Petrov–Galerkin formulation with Lagrange multipliers for advection-diffusion problems

Moving Mesh with Streamline Upwind Petrov-Galerkin (MM-SUPG) Method for Convection-Diffusion Problems

Finite Volume Box Schemes and Mixed Methods

Steady-state thermal analysis of power cable systems in ducts using streamline-upwind/petrov-galerkin finite element method

A Meshless Local Petrov-Galerkin Method for Magnetic Diffusion in Non-magnetic Conductors

An h-p Petrov-Galerkin finite element method for linear Volterra integro-differential equations

Stable Galerkin finite-element scheme for the simulation of problems involving conductors moving rectilinearly in magnetic fields