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

Xibing Zhang · Journal of Yangtze River Scientific Research Institute · 2007

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.

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