Matrix-Free Edge-Domain Decomposition Method for Massively Parallel 3-D Finite Element Simulation With Field-Circuit Coupling

In this article, a novel edge-domain decomposition (EDD) method is proposed to solve 3-D nonlinear finite element (FE) problems of electromagnetic devices and transient field circuit co-simulation. The method applies reduced magnetic vector potential formulation to discretize the physical problem ba...

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Published in:IEEE transactions on magnetics Vol. 56; no. 10; pp. 1 - 9
Main Authors: Li, Jiacong, Liu, Peng, Dinavahi, Venkata
Format: Journal Article
Language:English
Published: New York IEEE 01.10.2020
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects:
3-D edge element
Algorithms
Circuits
Computer simulation
Coupling
Couplings
domain decomposition
Domain decomposition methods
Eddy current field
Eddy currents
field-circuit coupling
finite element (FE) method
Finite element analysis
Finite element method
Gaging
graphics processors
Jacobian matrices
Magnetic domains
Magnetic vector potentials
Magnetism
Matrix decomposition
nonlinear
Nonlinear systems
Parallel processing
reduced magnetic vector potential
Simulation
Transmission line matrix methods
ISSN:0018-9464, 1941-0069
Online Access:Get full text
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Abstract In this article, a novel edge-domain decomposition (EDD) method is proposed to solve 3-D nonlinear finite element (FE) problems of electromagnetic devices and transient field circuit co-simulation. The method applies reduced magnetic vector potential formulation to discretize the physical problem based on 3-D edge elements, and the solution region is divided into many sub-domains that only contain one edge unknown. The solution of lightweight nonlinear sub-domain systems can be massively parallelized, and the neighbor-to-neighbor communication scheme eliminates the need to assemble the global FE matrix. This article also introduces an indirect coupling scheme to handle large eddy currents to interface the EDD FE system with external circuits. The abovementioned algorithms are then implemented on a many-core GPU for transient field circuit co-simulation. The result shows an auto-gauging property, and the comparison with a commercial FE software indicates a speedup of over 43 times with relative error less than 2%.
AbstractList In this article, a novel edge-domain decomposition (EDD) method is proposed to solve 3-D nonlinear finite element (FE) problems of electromagnetic devices and transient field circuit co-simulation. The method applies reduced magnetic vector potential formulation to discretize the physical problem based on 3-D edge elements, and the solution region is divided into many sub-domains that only contain one edge unknown. The solution of lightweight nonlinear sub-domain systems can be massively parallelized, and the neighbor-to-neighbor communication scheme eliminates the need to assemble the global FE matrix. This article also introduces an indirect coupling scheme to handle large eddy currents to interface the EDD FE system with external circuits. The abovementioned algorithms are then implemented on a many-core GPU for transient field circuit co-simulation. The result shows an auto-gauging property, and the comparison with a commercial FE software indicates a speedup of over 43 times with relative error less than 2%.
Author Dinavahi, Venkata
Liu, Peng
Li, Jiacong
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10.1109/TPWRD.2008.2002699
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SubjectTerms 3-D edge element
Algorithms
Circuits
Computer simulation
Coupling
Couplings
domain decomposition
Domain decomposition methods
Eddy current field
Eddy currents
field-circuit coupling
finite element (FE) method
Finite element analysis
Finite element method
Gaging
graphics processors
Jacobian matrices
Magnetic domains
Magnetic vector potentials
Magnetism
Matrix decomposition
nonlinear
Nonlinear systems
Parallel processing
reduced magnetic vector potential
Simulation
Transmission line matrix methods
Title Matrix-Free Edge-Domain Decomposition Method for Massively Parallel 3-D Finite Element Simulation With Field-Circuit Coupling
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