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MULTISCALE SEAMLESS-DOMAIN METHOD FOR NONPERIODIC FIELDS: NONLINEAR HEAT CONDUCTION ANALYSIS
- Source :
- International Journal for Multiscale Computational Engineering. 17:1-28
- Publication Year :
- 2019
- Publisher :
- Begell House, 2019.
-
Abstract
- A multiscale numerical solver called the seamless-domain method (SDM) is used in linear heat conduction analysis of nonperiodic simulated fields. The practical feasibility of the SDM has been verified for use with periodic fields but has not previously been verified for use with nonperiodic fields. In this paper, we illustrate the mathematical framework of the SDM and the associated error factors in detail. We then analyze a homogeneous temperature field using the SDM, the standard finite difference method, and the conventional domain decomposition method (DDM) to compare the convergence properties of these methods. In addition, to compare their computational accuracies and time requirements, we also simulated a nonperiodic temperature field with a nonuniform thermal conductivity distribution using the three methods. The accuracy of the SDM is very high and is approximately equivalent to that of the DDM. The mean temperature error is less than 0.02% of the maximum temperature in the simulated field. The total central processing unit (CPU) times required for the analyses using the most efficient SDM model and the DDM model represent 13% and 17% of that of the finite difference model, respectively.
- Subjects :
- Field (physics)
Computer Networks and Communications
Computational Mechanics
Finite difference method
Domain decomposition methods
Solver
Thermal conduction
01 natural sciences
010101 applied mathematics
Thermal conductivity
Distribution (mathematics)
Control and Systems Engineering
Convergence (routing)
Applied mathematics
0101 mathematics
Mathematics
Subjects
Details
- ISSN :
- 15431649
- Volume :
- 17
- Database :
- OpenAIRE
- Journal :
- International Journal for Multiscale Computational Engineering
- Accession number :
- edsair.doi.dedup.....188d0e6fd32c0cd5dd1cd1ffbc062c7e
- Full Text :
- https://doi.org/10.1615/intjmultcompeng.2019024643