基于非结构动网格技术及运动物面.doc

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基于非结构动网格技术及运动物面,摘要运动物面粘流场数值求解技术已成为现代计算流体力学研究的热点之一,而其中的关键技术就是动网格的生成方法以及基于动网格技术的数值求解方法。本文针对非结构运动网格生成技术研究,并将动网格技术与非结构同位网格有限体积法结合对navier-stokes方程进行数值求解,建立了基于非结构动网格的非定常数值离散计算模型及数值计算...
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摘要
运动物面粘流场数值求解技术已成为现代计算流体力学研究的热点之一,而其中的关键技术就是动网格的生成方法以及基于动网格技术的数值求解方法。
本文针对非结构运动网格生成技术研究,并将动网格技术与非结构同位网格有限体积法结合对Navier-Stokes方程进行数值求解,建立了基于非结构动网格的非定常数值离散计算模型及数值计算方法,编制了数值求解程序,并完成了算例验证。
本文发展了两种非结构动网格生成技术,一种是在标准弹簧法基础上进行了改进,提出了一种改进的弹簧近似法,该方法除考虑标准弹簧法中的防止网格节点相互碰撞,还考虑了网格变形的扭转效应,空间及边界效应,使得网格的变形能力大幅提高。第二种动网格技术为局部重构法,该方法能够有效的解决弹簧法不能解决的物体大幅值运动问题。本文将Delaunay三角化方法应用到运动网格的重构中,充分利用Delaunay三角化方法的快速生成效率及接近正三角形的性质,引入的加密边界作为“窗口”的方式提高了Delaunay三角化方法的布点能力,并编制了基于改进弹簧法的非结构动网格程序和改进局部重构法的动网格生成程序。
本文在ALE法的基础上建立了动网格技术与SIMPLE算法相结合的数值计算模型,给出了适合动网格技术的,满足几何守恒定律的数值离散方法及边界条件。动网格技术中网格信息传递方式的精度决定计算精度,本文采用双线性插值结合ENO方法计算待插点的流场信息参数,这种插值方法的计算精度达到二阶精度。利用FORTRAN语言编写了基于非结构动网格技术的数值计算程序,并研究了圆柱横向周期性振荡问题,经过与FLUENT软件的计算结果对比,结果表明本文编制的基于非结构运动网格技术的数值计算程序是可靠的,可用于开展相关运动物体流场的数值计算模拟。
本文利用所编制的程序开展了圆柱柔性变形及圆柱后缘柔性板变形的流场特性研究,研究发现物体的柔性变形能够改变原流场的结构,使得涡的脱落位置后移,圆柱后缘柔性板的应用还可以使涡的脱落变得不再规律。柔性变形物体的这一特性对于抑制涡激振动有着现实的意义。

关键词:非结构动网格;局部重构;运动边界;ALE方法;粘流场数值计算方法 ;FORTRAN语言


Abstract
The article studied the unstructured dynamic mesh technology and combines unstructured dynamic meshes technology with the finite volume method to solve Nervier-Stokes equations. And establishes calculation model based on the unsteady numerical discrete of the unstructured dynamic meshes.
This paper developed two kinds of dynamic mesh generation technologies. One is the improved spring analogy; the method is improved on basis of the standard spring analogy method. Improved method besides considering affective of preventing the collision between grid nodes in standard spring method and considering reverse 、 space and boundary effects. Those effects make the deformation of grids enhance greater than standard spring analogy method. The second dynamic mesh method is partial reconstruction. The method can effectively solve objects’ large motion which is that the spring analogy can not solve. This paper proposes an improved method, which will improve the stationing ability of Delaunay triangle methods, avoid the tedious steps in extracting window boundary, and boost computational speed and assure the quality of the grid. At last we compile two Programs. The first is unstructured dynamic mesh program bases on improved spring analogy. The second is unstructured dynamic mesh program bases on partial reconstruction.
This paper establishes numerical model which combined dynamic mesh technology with SIMPLE algorithm and gives discrete method of numerical simulation and boundary conditions and GCL’s discrete form which are appropriate for dynamic mesh technology. The accuracy of grid information transmission determines accuracy of simulation in dynamic mesh numerical simulation. This paper combines bilinear interpolation with ENO interpolation to calculate the interpolated parameters. This interpolation method has second order accuracy. The paper compiles numerical calculation program which bases on the unstructured dynamic mesh technology with help of FORTRAN language. And than uses the program study the Periodic oscillation of the horizontal cylinder. We find that the program is reliable after compare calculation results with FLUENT software’s and can be used to solve the Numerical Analysis of the moving body.
Objects’ flexible deformation is expected to suppress adverse effects of vortex-induced vibration in the marine engineering. By preliminary study of ours two cases, we find that objects’ flexible deformation can change the structure of original flow, and make the vortex shedding location shift to the rear. Flexible plates’ application, which is edge of cylinder, can make the vortex shedding is no longer rules, and effectively inhibits objects’ vortex-induced vibration.

Key words: Unstructured dynamic mesh; Local reconstruction; Move boundary; ALE method; numerical computation method of viscous flow; FORTRAN language






















目 录
摘要 I
Abstract III
目 录 V
Contents VII
第1章 绪 论 1
1.1 研究背景 1
1.2国内外研究现状 2
1.2.1 网格技术发展概述 2
1.2.2 非结构动网格技术发展概述 3
1.2.3圆柱受迫振动研究进展 5
1.3论文主要..