کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
10345860 | 698451 | 2015 | 17 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Singular boundary method for heat conduction problems with certain spatially varying conductivity
ترجمه فارسی عنوان
روش مرزی منحصر به فرد برای مشکلات هدایت حرارتی با هدایت الکتریکی متفاوت
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
مهندسی کامپیوتر
علوم کامپیوتر (عمومی)
چکیده انگلیسی
The singular boundary method (SBM) is a recent boundary-type meshless collocation method, in which the solution of a given problem is expanded as a linear combination of the fundamental solutions in terms of the source points. The method circumvents the fictitious boundary long perplexing the method of fundamental solution (MFS) by the introduction of the concept of origin intensity factors (OIFs). This paper documents the first attempt to extend the method to heat conduction problems in nonhomogeneous materials. We derive the fundamental solutions of heat conduction problems with the thermal conductivity of the quadratic, exponential and trigonometric material variations in three directions. Furthermore, we firstly theoretically derive the value of the OIF for the natural logarithm function, which is later extended to the OIFs for a group of fundamental solutions. The feasibility, accuracy and stability of the presented SBM formulation are confirmed for both two- (2D) and three-dimensional (3D) examples.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computers & Mathematics with Applications - Volume 69, Issue 3, February 2015, Pages 206-222
Journal: Computers & Mathematics with Applications - Volume 69, Issue 3, February 2015, Pages 206-222
نویسندگان
Xing Wei, Wen Chen, Bin Chen, Linlin Sun,