New advances in the modeling of hightemperature superconductors
Abstract
In this paper, we present a new discrete formulation that maintains discrete invariance and is suitable for use on nonorthogonal meshes. This formulation, unlike its predecessors, allows us to easily use adaptive mesh refinement to concentrate grid points where error contributions are large (near vortex centers). In this way we reduce the total number of grid points required to accurately capture vortex configurations and allow the possibility of solving problems previously considered intractable. To solve these large problems, we require the memory capabilities and computational power of stateoftheart parallel computers. To use these machines, we have developed scalable libraries for adaptive mesh refinement and partitioning on twodimensional triangular grids. This generalpurpose software uses bisection of the longest side to refine triangles in which error contributions are large. These adaptive meshes are both unstructured and dynamic, and we present a new geometric partitioning, algorithm that strives to minimize communication cost by ensuring good partition aspect ratios. We present computational results showing the efficiency of these adaptive techniques for a superconductivity application.
 Authors:

 Argonne National Lab., IL (United States)
 Tennessee Univ., Knoxville, TN (United States). Dept. of Computer Science
 Publication Date:
 Research Org.:
 Argonne National Lab., IL (United States)
 Sponsoring Org.:
 USDOE, Washington, DC (United States)
 OSTI Identifier:
 10130932
 Report Number(s):
 ANL/MCS/CP82091; CONF94045613
ON: DE94007649
 DOE Contract Number:
 W31109ENG38
 Resource Type:
 Conference
 Resource Relation:
 Conference: 1994 Society for Computer Simulation multiconference,San Diego, CA (United States),1115 Apr 1994; Other Information: PBD: [1994]
 Country of Publication:
 United States
 Language:
 English
 Subject:
 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; 99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE; HIGHTC SUPERCONDUCTORS; COMPUTER CALCULATIONS; MESH GENERATION; MATHEMATICAL MODELS; NUMERICAL SOLUTION; GREEN FUNCTION; ENERGY DENSITY; 665411; 990200; BASIC SUPERCONDUCTIVITY STUDIES; MATHEMATICS AND COMPUTERS
Citation Formats
Freitag, L, Plassmann, P, and Jones, M. New advances in the modeling of hightemperature superconductors. United States: N. p., 1994.
Web.
Freitag, L, Plassmann, P, & Jones, M. New advances in the modeling of hightemperature superconductors. United States.
Freitag, L, Plassmann, P, and Jones, M. 1994.
"New advances in the modeling of hightemperature superconductors". United States. https://www.osti.gov/servlets/purl/10130932.
@article{osti_10130932,
title = {New advances in the modeling of hightemperature superconductors},
author = {Freitag, L and Plassmann, P and Jones, M},
abstractNote = {In this paper, we present a new discrete formulation that maintains discrete invariance and is suitable for use on nonorthogonal meshes. This formulation, unlike its predecessors, allows us to easily use adaptive mesh refinement to concentrate grid points where error contributions are large (near vortex centers). In this way we reduce the total number of grid points required to accurately capture vortex configurations and allow the possibility of solving problems previously considered intractable. To solve these large problems, we require the memory capabilities and computational power of stateoftheart parallel computers. To use these machines, we have developed scalable libraries for adaptive mesh refinement and partitioning on twodimensional triangular grids. This generalpurpose software uses bisection of the longest side to refine triangles in which error contributions are large. These adaptive meshes are both unstructured and dynamic, and we present a new geometric partitioning, algorithm that strives to minimize communication cost by ensuring good partition aspect ratios. We present computational results showing the efficiency of these adaptive techniques for a superconductivity application.},
doi = {},
url = {https://www.osti.gov/biblio/10130932},
journal = {},
number = ,
volume = ,
place = {United States},
year = {1994},
month = {3}
}