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首页> 外文期刊>Engineering analysis with boundary elements >Meshless solution of axisymmetric convection-diffusion equation: A comparison between two alternative RBIE implementations
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Meshless solution of axisymmetric convection-diffusion equation: A comparison between two alternative RBIE implementations

机译：轴对称对流扩散方程的无网格解：两个RBIE实现方案的比较

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摘要

The radial basis integral equation (RBIE) method was derived using two different approaches to solve the steady-state axisymmetric convection-diffusion equation. In the first approach (Approach 1), the integral representation of the governing equation was derived using the Laplace fundamental solution in the axisymmetric coordinates. In the second approach (Approach 2), the Laplace fundamental solution in two-dimensional Cartesian coordinates was used at the expense of an additional pseudo-source term in the domain integrals. The domain integrals were dealt with using the cell integration technique. The Approach 1 was found to produce results that were more accurate than the Approach 2. However, the CPU time requirement was higher in the Approach 1 than in the Approach 2.
机译：利用两种不同的方法推导了径向基积分方程（RBIE）方法，以求解稳态轴对称对流扩散方程。在第一种方法（方法1）中，使用轴对称坐标系中的拉普拉斯基本解导出控制方程的积分表示。在第二种方法（方法2）中，使用二维笛卡尔坐标系中的Laplace基本解，但以在域积分中使用额外的伪源项为代价。使用单元积分技术处理域积分。发现方法1产生的结果比方法2更准确。但是，方法1的CPU时间要求比方法2更高。

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