大连理工大学学报Issue(5)：449-456,8.DOI:10.7511/dllgxb201505001
格心型有限体积法格点变量重构方法研究
Research on vertex variables reconstruction for cell-centered finite volume method
摘要
Abstract
A commonly-used gradient reconstruction procedure for the second-order cell-centered finite volume method is to calculate the element gradient by its vertex variables.The key issue of this method is to construct the local linearly distributed vertex variables by their adj acent elements' cell-centered variables. Using weighted least squares method for vertex variables reconstruction, considering the fact that the cell-centered variables are non-linear distribution,inversely distance weight is applied to estimate the different influences of the elements in various positions.In order to deal with the over-estimation of vertex variables on perturbed or curved grids,a new clipping method is implemented.Test cases use high-aspect-ratio,perturbed or curved grids which are commonly applied to the boundary layer flow simulations with high Reynolds number.The presented method is compared with weighted averaging method and pseudo-Laplacian method.Numerical results show that better accuracy is attained by presented inversely distance weighted least squares method,and the over-estimation of vertex variables on perturbed or curved grids is eliminated by the clipping method suggested here.关键词
格心型有限体积法/梯度重构/格点变量/最小二乘法/限制方法/大长宽比网格Key words
cell-centered finite volume method/gradient reconstruction/vertex variables/least squares method/clipping method/high-aspect-ratio grid分类
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张帆,刘君,陈飙松,钟万勰..格心型有限体积法格点变量重构方法研究[J].大连理工大学学报,2015,(5):449-456,8.基金项目
国家自然科学基金资助项目(91315302) （91315302）
“九七三”国家重点基础研究发展计划资助项目(2010CB832704) （2010CB832704）
