Dual reciprocity boundary node method for convection-diffusion problems

Fei Yan; Min Yu; Jia-He Lv

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Dual reciprocity boundary node method for convection-diffusion problems

机译：对流扩散问题的对等互惠边界节点法

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摘要

This paper presents a dual reciprocity boundary node method(DHBNM) for steady-state convection-diffusion problems with variable velocities. In this formulation, the solutions are composed of a particular and a complementary solutions, where the former is solved by boundary node method, and the latter is obtained by dual reciprocity method(DRM). The velocity field is decomposed into an average and a perturbation ones, which is treated using DRM by some steps of approximating process. A reverse procedure for the particular solution is developed to overcome the difficulty of getting the analytical solution of the particular solution. Numerical studies have validated that the DHBNM can produce high accuracy and stability.

机译：针对变速度的稳态对流扩散问题，本文提出了一种双向互惠边界节点方法（DHBNM）。在此公式中，解决方案由特定解和补充解组成，其中前者通过边界节点法求解，而后者通过对等互易法（DRM）获得。将速度场分解为平均值和扰动场，然后使用DRM通过一些近似过程对其进行处理。针对特定解决方案开发了相反的过程，以克服获取特定解决方案的分析解决方案的困难。数值研究已经证明DHBNM可以产生高精度和稳定性。

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来源
《Engineering analysis with boundary elements》 |2017年第7期|230-236|共7页
作者
Fei Yan; Min Yu; Jia-He Lv;
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作者单位

State Key Laboratory of Geomechanics and Geoteehnical Engineering, Institute of Rock and Soil Mechanics, Chinese Academy of Science, Wuhan 430071, China;

School of Civil Engineering, Wuhan University, Wuhan 430072, China;

State Key Laboratory of Geomechanics and Geoteehnical Engineering, Institute of Rock and Soil Mechanics, Chinese Academy of Science, Wuhan 430071, China;

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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 eng
中图分类
关键词
Dual reciprocity method; Boundary node method; Particular solution; Complementary solution; Convection-diffusion problem;

机译：双重互惠法;边界节点法;特殊解决方案;补充解决方案;对流扩散问题;

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专利

1. A new dual reciprocity hybrid boundary node method based on Shepard and Taylor interpolation method and Chebyshev polynomials [J] . Fei Yan, Xia-Ting Feng, Jia-He Lv, Engineering analysis with boundary elements . 2016,第deca期

机译：基于Shepard和Taylor插值方法以及Chebyshev多项式的新的双互易混合边界节点方法
2. A dual reciprocity hybrid radial boundary node method based on radial point interpolation method [J] . Yan F, Feng XT, Zhou H Computational Mechanics: Solids, Fluids, Fracture Transport Phenomena and Variational Methods . 2010,第6期

机译：基于径向点插值法的双互易混合径向边界节点法
3. A dual reciprocity hybrid radial boundary node method based on radial point interpolation method [J] . Fei Yan, Xiating Feng, Hui Zhou Computational Mechanics . 2010,第6期

机译：基于径向点插值法的双互易混合径向边界节点法
4. The Numerical Study and Comparison of Radial Basis Functions in Applications of the Dual Reciprocity Boundary Element Method to Convection-Diffusion Problems [C] . Krittidej Chanthawara, Sayan Kaennakham, WattanaToutip Conference on Progress in Applied Mathematics in Science and Engineering Proceedings . 2016

机译：双互补边界元法在对流扩散问题中应用径向基函数的数值研究与比较
5. Application of the Boundary Element Method and Dual Reciprocity Method to the Modeling of Well Testing. [D] . Liu, Manyang. 2011

机译：边界元法和双重互易法在试井建模中的应用。
6. Fundamental solutions and dual boundary element methods for fracture in plane Cosserat elasticity [O] . Elena Atroshchenko, Stéphane P. A. Bordas -1

机译：平面Cosserat弹性断裂的基本解和双重边界元方法
7. Meshless Convection-Diffusion Analysis by Triple-Reciprocity Boundary Element Method [O] . Yoshihiro OCHIAI 2008

机译：三互补边界元法的无丝波对流分析
8. Minimum-Residual Finite Element Method for the Convection-Diffusion Equation. [R] . Chan, J., Evans, J. A. 2013

机译：对流扩散方程的最小残差有限元方法。

Dual reciprocity boundary node method for convection-diffusion problems

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