用广义有限差分法求解双相滞后生物传热方程

IF 1.1 4区工程技术 Q3 MATERIALS SCIENCE, CHARACTERIZATION & TESTING

Archives of Mechanics Pub Date : 2017-09-22 DOI:10.24423/AOM.2567

Łukasz Turchan

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引用次数: 7

摘要

考虑了双相滞后方程描述的生物传热过程的建模。基本方程由适当的边界初始条件补充。在圆柱形域的中心部分中，被加热的子域被定位。在该区域中，决定内部热源容量的附加部件被考虑在内。在数值计算阶段，采用了广义有限差分法。GFDM节点分布是以随机方式生成的（有一些限制）。给出了不同节点分布的计算实例，并与经典有限差分法进行了比较。在论文的最后部分，对结论进行了阐述。

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Solving the dual-phase lag bioheat transfer equation by the generalized finite difference method

The modeling of bioheat transfer process described by the dual-phase lag equation is considered. The basic equation is supplemented by the appropriate boundary-initial conditions. In the central part of the cylindrical domain the heated sub-domain is located. In this region the additional component determining the capacity of an internal heat source is taken into account. At the stage of numerical computations the generalized finite difference method (GFDM) is used. The GFDM nodes distribution is generated in a random way (with some limitations). The examples of computations for different nodes distribution and comparison with the classical finite difference method are presented. In the final part of the paper the conclusions are formulated.

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来源期刊

Archives of Mechanics 工程技术-材料科学：表征与测试

CiteScore

1.40

自引率

12.50%

发文量

审稿时长

>12 weeks

期刊介绍： Archives of Mechanics provides a forum for original research on mechanics of solids, fluids and discrete systems, including the development of mathematical methods for solving mechanical problems. The journal encompasses all aspects of the field, with the emphasis placed on: -mechanics of materials: elasticity, plasticity, time-dependent phenomena, phase transformation, damage, fracture; physical and experimental foundations, micromechanics, thermodynamics, instabilities; -methods and problems in continuum mechanics: general theory and novel applications, thermomechanics, structural analysis, porous media, contact problems; -dynamics of material systems; -fluid flows and interactions with solids. Papers published in the Archives should contain original contributions dealing with theoretical, experimental, or numerical aspects of mechanical problems listed above. The journal publishes also current announcements and information about important scientific events of possible interest to its readers, like conferences, congresses, symposia, work-shops, courses, etc. Occasionally, special issues of the journal may be devoted to publication of all or selected papers presented at international conferences or other scientific meetings. However, all papers intended for such an issue are subjected to the usual reviewing and acceptance procedure.