Solution of hyperbolic bioheat conduction models based on adaptive time integrators

Soares Delfim Jr.; Wrobel Luiz C.

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Solution of hyperbolic bioheat conduction models based on adaptive time integrators

机译：Solution of hyperbolic bioheat conduction models based on adaptive time integrators

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摘要

In this work, a new time marching technique is proposed to analyze hyperbolic bioheat transfer problems. In this new approach, time integration parameters adapt themselves along the solution process, in accordance to the properties and results of the model. Thus, the time integrators are locally evaluated, assuming different values along the spatial and temporal discretizations, enabling a more accurate and effective solution algorithm. The proposed technique has guaranteed stability, it is truly self-starting, and it is formulated as a non-iterative single-step/solver procedure, demanding low computational efforts. As illustrated in the manuscript, the methodology is very accurate, robust and simple to implement, providing a suitable numerical approach to analyze hyperbolic bioheat conduction models.

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来源
《Finite elements in analysis & design》 |2018年第9期|1-14|共14页
作者
Soares Delfim Jr.; Wrobel Luiz C.;
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作者单位

Univ Fed Juiz de Fora, Struct Engn Dept, Juiz De Fora, MG, Brazil;

Brunel Univ London, Inst Mat & Mfg, Uxbridge UB8 3PH, Middx, England;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种英语
中图分类应用数学;
关键词
Hyperbolic bioheat conduction; Non-Fourier models; Adaptive parameters; Time domain analysis; Finite elements;

Solution of hyperbolic bioheat conduction models based on adaptive time integrators

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