LOCAL DIFFERENTIAL QUADRATURE METHOD FOR 2-D FLOW AND FORCED-CONVECTION PROBLEMS IN IRREGULAR DOMAINS

L. H. Shen; D. L. Young; D. C. Lo; C. P. Sun

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LOCAL DIFFERENTIAL QUADRATURE METHOD FOR 2-D FLOW AND FORCED-CONVECTION PROBLEMS IN IRREGULAR DOMAINS

机译：非规则域二维流动和强迫对流问题的局部微分求积方法

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The local differential quadrature (LDQ) method is developed from the differential quadrature (DQ) method. Two main disadvantages of the conventional DQ method are the restriction on dealing with the irregular boundaries and the ill-conditioned matrix. By employing the concept of localization and the boundary approximation, the above drawbacks can be overcome. To verify the capability of solving the flow and heat transfer problems of the proposed LDQ method, cavity flow and forced-convection problems are selected. The numerical experiments demonstrate that the present LDQ method possesses convincing precision and good capability for dealing with irregular-domain problems.

机译：本地差分正交（LDQ）方法是从差分正交（DQ）方法发展而来的。传统DQ方法的两个主要缺点是处理不规则边界和病态矩阵的限制。通过采用局部化和边界近似的概念，可以克服上述缺点。为了验证解决所提出的LDQ方法的流动和传热问题的能力，选择了空腔流动和强制对流问题。数值实验表明，该方法具有令人信服的精度和良好的处理不规则域问题的能力。

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《Numerical Heat Transfer, Part B. Fundamentals: An International Journal of Computation and Methodology》 |2009年第2期|共19页
作者
L. H. Shen; D. L. Young; D. C. Lo; C. P. Sun;
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正文语种 eng
中图分类 725B0059-B;
关键词
differential; method; concept; present;

机译：差异;方法;概念;现在;

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1. 用非规则节点解偏数分方程的局部微分求积法 [J] . 王娟, 夏利伟, 马杭上海大学学报（英文版） . 2008,第002期
2. Local Differential Quadrature Method for 2-D Flow and Forced-Convection Problems in Irregular Domains [J] . Shen LH, Young DL, Lo DC, Numerical Heat Transfer, Part B. Fundamentals: An International Journal of Computation and Methodology . 2009,第2期

机译：不规则域二维流动和强迫对流问题的局部微分求积方法
3. Differential quadrature method for space-fractional diffusion equations on 2D irregular domains [J] . Zhu X. G., Yuan Z. B., Liu F., Numerical algorithms . 2018,第3期

机译：2D不规则域的空间分数扩散方程的差分正交方法
4. On a rational differential quadrature method in irregular domains for problems with boundary layers [J] . Du L., Wu X. Applied mathematics and computation . 2011,第4期

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5. POTENTIAL FLOW ANALYSIS BY USING THE IRREGULAR ELEMENTS OF THE DIFFERENTIAL QUADRATURE ELEMENT METHOD [C] . CHANG-NEW CHEN International Conference on Offshore Mechanics and Arctic Engineering . 1998

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6. Analysis of interacting subdomains in structural mechanics problems by the differential quadrature method. [D] . Siddiqi, Zahid Ahmad. 1995

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机译：空间分数阶扩散方程的微分求积法在2D不规则域上

LOCAL DIFFERENTIAL QUADRATURE METHOD FOR 2-D FLOW AND FORCED-CONVECTION PROBLEMS IN IRREGULAR DOMAINS

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