Fast and accurate determination of 3D temperature distribution using fraction-step semi-implicit method | Zendy

Wei Cen | Zendy; Ralph Hoppe | Zendy; Ning Gu | Zendy

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Fast and accurate determination of 3D temperature distribution using fraction-step semi-implicit method

Author(s) -

Wei Cen,

Ralph Hoppe,

Ning Gu

Publication year - 2016

Publication title -

aip advances

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.421

H-Index - 58

ISSN - 2158-3226

DOI - 10.1063/1.4962665

Subject(s) - finite difference time domain method , discretization , stability (learning theory) , dimension (graph theory) , finite difference method , computer science , fraction (chemistry) , mathematics , numerical stability , domain (mathematical analysis) , alternating direction implicit method , numerical analysis , set (abstract data type) , algorithm , time domain , mathematical analysis , physics , optics , chemistry , organic chemistry , machine learning , pure mathematics , computer vision , programming language

In this paper, we proposed a method to numerically determinate 3-dimensional thermal response due to electromagnetic exposure quickly and accurately. Due to the stability criterion the explicit finite-difference time-domain (FDTD) method works fast only if the spatial step is not set very small. In this paper, the semi-implicit Crank-Nicholson method for time domain discretization with unconditional time stability is proposed, where the idea of fractional steps method was utilized in 3-dimension so that an efficient numerical implementation is obtained. Compared with the explicit FDTD, with similar numerical precision, the proposed method takes less than 1/200 of the execution time

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