Cartesian网格结合无网格法处理的二维柱体

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振动与冲击 ›› 2013, Vol. 32 ›› Issue (8) : 134-142.

论文

Cartesian网格结合无网格法处理的二维柱体

李现今1, 杨国伟1

作者信息 +

Simulation to 2D flows over cube or cylinder and moving body problems based on adaptive Cartesian grid with a gridless boundary treatment

Li xianjin Yang guowei

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文章历史 +

摘要

本文发展了基于四叉树数据结构的网格生成和二维流动的N-S方程数值求解器及动边界问题的Euler方程求解方法。采用压力梯度或者密度梯度的绝对值作为网格自适应的控制参量，同时采用基于最小二乘法的无网格方法处理对于一般Cartesian网格难于处理的物面边界条件。文中采取了绕方柱流动和绕圆柱流动的经典算例对所发展的方法进行了验证。计算的结果验证了所发展的方法在处理绕流流动时的合理性和有效性。采用Naca0012翼型的几种工况验证了所发展的动网格技术在处理无粘流动的合理性和可行性。从而为数值模拟具有复杂几何外形的流动提供了一种网格布局合理、高效，边界处理简单易行的新思路。

Abstract

A quadtree-based adaptive Cartesian grid generation and flow solver of Navier-Stokes equations and Euler solutions with moving boundary were developed .The grid adaptation based on pressure or density gradient was performed and a gridless or meshless method based on the least-square fashion was used to treat the wall surface boundary condition, which is generally difficult to be handled for the common Cartesian grid. First, to validate the technique of grid adaptation, the flows over a cube were computed. Second, the flows over the cylinder were calculated to validate the developed gridless method.Third,Euler solutions of Naca0012 wing under three cases were computed by moving grid with gridless method. The computational results indicated the developed method is reasonable for complex flows.So this method provides a new idea to the simulation of flows over the objects with complex geometry figures and this method has the special characters of the more reasonable distribution of grids , the higher efficiency and the easier of boundary treatment.

导出引用

李现今; 杨国伟. Cartesian网格结合无网格法处理的二维柱体 [J]. 振动与冲击, 2013, 32(8): 134-142

Li xianjin Yang guowei. Simulation to 2D flows over cube or cylinder and moving body problems based on adaptive Cartesian grid with a gridless boundary treatment[J]. Journal of Vibration and Shock, 2013, 32(8): 134-142