In this paper, an improved node moving technique was developed for adaptive solution of some flow problems. Collocated Discrete Least Squares Meshless (CDLSM) method was applied for simulation. This method is a truly meshless method and also enjoys the symmetric and positive-definite property. Then, an improved node moving technique was developed based on the spring analogy. In this mechanism, each node was assumed to be connected to its neighboring nodes via some virtual springs. Then, higher values of stiffness were allocated to the springs located at higher error areas. In the previously published works, the corresponding system of equations was assumed to be linear. In this work, first, it was shown that this assumption may lead to inaccurate results in some cases and then, an improved method was proposed considering the nonlinear nature of the system of equations. Some numerical examples were used to illustrate the ability of the proposed node moving technique for some simple examples and benchmark problems in the Computational Fluid Dynamics (CFD) context. The Results of the study showed a considerable improvement in comparison with those of previously published works.

本文提出了一种改进的节点移动技术，用于自适应求解一些流动问题。应用并置离散最小二乘无网格（CDLSM）方法进行模拟。该方法是一种真正的无网格方法，并且还具有对称性和正定性。然后，基于弹簧类比开发了一种改进的节点移动技术。在这种机制中，假设每个节点都通过一些虚拟弹簧连接到其相邻节点。然后，较高的刚度值分配给位于较高误差区域的弹簧。在以前发表的作品中，相应的方程组被假定为线性的。在这项工作中，首先，表明这种假设在某些情况下可能会导致不准确的结果，然后，考虑到方程组的非线性特性，提出了一种改进方法。一些数值例子被用来说明所提出的节点移动技术在计算流体动力学 (CFD) 环境中的一些简单例子和基准问题的能力。与以前发表的作品相比，研究结果显示出相当大的改进。