基于二维非结构网格的全隐式CICSAM格式  

Fully Implicit CICSAM Scheme Based on 2D Unstructured Grids

作　　者：林超[1] 李廷秋[1] 林泽华 马麟 辛建建 LIN Chao LI Tingqiu LIN Zehua MA Lin XIN Jianjian(School of Transportation, Wuhan University of Technology, Wuhan 430063, China)

机构地区：[1]武汉理工大学交通学院,武汉430063

出　　处：《武汉理工大学学报（交通科学与工程版）》2018年第4期604-608,615,共6页Journal of Wuhan University of Technology（Transportation Science & Engineering）

基　　金：国家自然科学基金项目资助(51579196;51179142)

摘　　要：针对气液固多相流中含间断解、大梯度突变等对流占优问题,为了实现对梯度突变的间断界面的有效捕捉,在归一化变量表(NVD)和显式CBC对流有界性准则的基础上构造了一种全隐式CICSAM格式,实现了数值解的高精度和单调收敛,其中控制方程采用非结构网格有限体积法进行离散,并采用线性插值方法重构上游迎风网格单元.为了验证离散格式的数值精度和收敛性能,采用两个经典纯对流算例进行数值验证,并与现有研究结果进行比较.Aiming at the problem of convection dominance in gas-liquid-solid multiphase flow including discontinuous solution and large gradient mutation,a fully implicit CICSAM was constructed based on the normalized variable table（NVD）and the explicit CBC convection boundedness criterion in order to effectively capture the discontinuous interface of gradient mutation.High accuracy and monotonic convergence of the numerical solution are achieved for this implicit CICSAM.The governing equations were discretized by unstructured grid finite volume method and the upstream upwind grid elements were reconstructed by using linear interpolation method.In order to verify the numerical accuracy and convergence performance of the discrete format,two classical pure convection examples were used for numerical verification and compared with the existing research results.

关 键 词：非结构网格 CICSAM格式 NVD格式 CBC准则 

分 类 号：U661.1[交通运输工程—船舶及航道工程]