无网格法数值模拟基于变分原理，采用权函数来拟 合真实解，因此，权函数的构造形式至关重要。无网格法不需要网格单元，只需具体的节点 信息，是一种很有前途的数值模拟方法。在已有研究工作的基础上提出一种复杂河道平面区 域布点算法，利用该方法生成的离散节点可直接用于无网格法数值模拟计算，也可以进一步 利用各种网格化方法，由散点生成无结构网格。为了控制散点分布密度，引入了密度控制函 数。区域布点算法的一个关键技术是点包含算法，给出了一种既简便又易于实现的算法。应 用实例检验了所提出的方法的可行性，并编制了FORTRAN语言环境下的自动生成程序。

Meshless mathematical modeling is based on variation principle, using power function to fit the real resolution, and therefore what kind of a power function is considered as to be very important. Meshless method is a kind of modeling method without any grid, only with discrete nodes information, and regarded as to be a hopeful. An algorithm of nodes arrangement in complicated plane area is presented. The point - in - region query is a key problem when arranging the nodes. A very simple point - in - region query algorithm is presented. Examples are also given to show the availability of the algorithm.　An auto - generation program with FORTRAN language environment is organized.