This paper describes the development of the Method of Regularized Sources for potential flow problems. It is based on the modification of the fundamental solution near the source point by replacing the singularity with a blob in form of a steep rational function. This allows to solve the problems in the same way as with Method of Fundamental Solutions, however without an artificial boundary. Method of Regularized Sources gives excellent results for Dirichlet boundary conditions, however it fails for Neumann boundary conditions. To overcome this problem are the source point positions on the segments of the boundary with Neumann boundary positions placed close to the collocation points. This approach somehow represents a blending of the Method of Regularized Sources and the classical Method of Fundamental Solutions. The novel approach is characterized by two free parameters; the blob thickness and the artificial boundary displacement position. A two-dimensional numerical example of potential flow around circle is analyzed in detail regarding these two free parameters. The modified Method of Regularized Sources gives even more accurate results for potential and derivatives than the Method of Fundamental Solutions. The source point can be placed 2–25 times closer to the boundary collocation points than with the classical Method of Fundamental Solutions and thus reduces the problem of the placement of the artificial boundary.

本文介绍了针对潜在流量问题的正则化源方法的发展。它基于通过用陡峭有理函数形式的斑点代替奇点来修改源点附近的基本解。这允许以与“基本解决方案方法”相同的方式解决问题，但是没有人为的界限。正则化源方法对于Dirichlet边界条件给出了极好的结果，但是对于Neumann边界条件却没有。为了克服这个问题，在边界段上的源点位置应将Neumann边界位置放置在靠近并置点的位置。这种方法某种程度上代表了正则化源方法和经典基础解法的混合。该新颖方法的特征在于两个自由参数。斑点厚度和人工边界位移位置。关于这两个自由参数，详细分析了绕圆的潜在流动的二维数值示例。与基本解法相比，修改后的正则化源法对势和导数的结果更为准确。与经典的基本解方法相比，可以将源点放置在更靠近边界并置点2到25倍的位置，从而减少了人工边界放置的问题。与基本解法相比，修改后的正则化源法对势和导数的结果更为准确。源点可以比经典的基本解法更接近边界并置点2到25倍，从而减少了人工边界的放置问题。与基本解法相比，修改后的正则化源法对势和导数的结果更为准确。与经典的基本解方法相比，可以将源点放置在更靠近边界并置点2到25倍的位置，从而减少了人工边界放置的问题。