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Title: Iterative spectral method for solving electrostatic or magnetostatic problems in complex and evolving heterostructures

Abstract

Electrostatic or magnetostatic problems involving complex heterogeneity are nontrivial for modeling and simulation. Most existing numerical methods focus on sharp interface models and the computational cost increases with increasing complexity of the geometry. Here we develop an iterative spectral method, the bound charge successive approximation algorithm, to solve electrostatic or magnetostatic heterogeneity problems in the context of diffuse-interface modeling. As tests and verifications, this algorithm is applied to calculation of the depolarization factor of an ellipsoid, and simulation of random dielectric mixtures and the dielectophoretic motion of multiple particles. The algorithm shows excellent efficiency and the computational cost mainly depends on the permittivity or permeability contrast in the whole system, regardless of the complexity of the geometry. Specifically, for evolving heterostructures the solution of bound charge in one time step can be used as input for the next, which could further significantly shorten the iteration (approximation) process, making it practical to simulate the long-range electrostatic or magnetostatic interaction in complex and evolving heterostructures.

Authors:
 [1];  [1]
+ Show Author Affiliations
  1. National Energy Technology Laboratory (NETL), Albany, OR (United States)
Publication Date:
Research Org.:
National Energy Technology Laboratory (NETL), Albany, OR (United States)
Sponsoring Org.:
USDOE Office of Fossil Energy (FE)
OSTI Identifier:
1225710
Alternate Identifier(s):
OSTI ID: 1182824
Report Number(s):
A-NETL-PUB-120
Journal ID: ISSN 1539-3755; PLEEE8
Grant/Contract Number:  
ACI-1053575
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Additional Journal Information:
Journal Volume: 91; Journal Issue: 5; Journal ID: ISSN 1539-3755
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICS AND COMPUTING

Citation Formats

Cheng, Tian -Le, and Wen, You -Hai. Iterative spectral method for solving electrostatic or magnetostatic problems in complex and evolving heterostructures. United States: N. p., 2015. Web. doi:10.1103/PhysRevE.91.053307.
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Cheng, Tian -Le, & Wen, You -Hai. Iterative spectral method for solving electrostatic or magnetostatic problems in complex and evolving heterostructures. United States. https://doi.org/10.1103/PhysRevE.91.053307
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Cheng, Tian -Le, and Wen, You -Hai. Fri . "Iterative spectral method for solving electrostatic or magnetostatic problems in complex and evolving heterostructures". United States. https://doi.org/10.1103/PhysRevE.91.053307. https://www.osti.gov/servlets/purl/1225710.
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@article{osti_1225710,
title = {Iterative spectral method for solving electrostatic or magnetostatic problems in complex and evolving heterostructures},
author = {Cheng, Tian -Le and Wen, You -Hai},
abstractNote = {Electrostatic or magnetostatic problems involving complex heterogeneity are nontrivial for modeling and simulation. Most existing numerical methods focus on sharp interface models and the computational cost increases with increasing complexity of the geometry. Here we develop an iterative spectral method, the bound charge successive approximation algorithm, to solve electrostatic or magnetostatic heterogeneity problems in the context of diffuse-interface modeling. As tests and verifications, this algorithm is applied to calculation of the depolarization factor of an ellipsoid, and simulation of random dielectric mixtures and the dielectophoretic motion of multiple particles. The algorithm shows excellent efficiency and the computational cost mainly depends on the permittivity or permeability contrast in the whole system, regardless of the complexity of the geometry. Specifically, for evolving heterostructures the solution of bound charge in one time step can be used as input for the next, which could further significantly shorten the iteration (approximation) process, making it practical to simulate the long-range electrostatic or magnetostatic interaction in complex and evolving heterostructures.},
doi = {10.1103/PhysRevE.91.053307},
journal = {Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics},
number = 5,
volume = 91,
place = {United States},
year = {Fri May 22 00:00:00 EDT 2015},
month = {Fri May 22 00:00:00 EDT 2015}
}
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https://doi.org/10.1103/PhysRevE.91.053307
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