无网格法河流数值模拟平面区域自动布点技术

长江科学院院报 ›› 2007, Vol. 24 ›› Issue (3): 8-10.

无网格法河流数值模拟平面区域自动布点技术

蔺秋生,黄莉,张细兵

出版日期:2007-06-01 发布日期:2012-03-05

Auto - arrangement of Discrete Nodes in River Region withMeshless Mathematical Modeling

LIN Qiu-Sheng, HUANG Li, ZHANG Xi-Bing

Online:2007-06-01 Published:2012-03-05

摘要/Abstract

摘要： 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。

Abstract: 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.

蔺秋生,黄莉,张细兵. 无网格法河流数值模拟平面区域自动布点技术[J]. 长江科学院院报, 2007, 24(3): 8-10.

LIN Qiu-Sheng, HUANG Li, ZHANG Xi-Bing. Auto - arrangement of Discrete Nodes in River Region withMeshless Mathematical Modeling[J]. JOURNAL OF YANGTZE RIVER SCIENTIFIC RESEARCH INSTI, 2007, 24(3): 8-10.